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Diffstat (limited to 'docs/articles')
28 files changed, 719 insertions, 928 deletions
diff --git a/docs/articles/FOCUS_D.html b/docs/articles/FOCUS_D.html index ed41e555..341c7e7d 100644 --- a/docs/articles/FOCUS_D.html +++ b/docs/articles/FOCUS_D.html @@ -30,7 +30,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> @@ -88,7 +88,7 @@ <h1>Example evaluation of FOCUS Example Dataset D</h1> <h4 class="author">Johannes Ranke</h4> - <h4 class="date">2019-07-04</h4> + <h4 class="date">2019-07-05</h4> <div class="hidden name"><code>FOCUS_D.Rmd</code></div> @@ -156,20 +156,18 @@ ## "d_m1 = + k_parent_m1 * parent - k_m1_sink * m1"</code></pre> <p>We do the fitting without progress report (<code>quiet = TRUE</code>).</p> <div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1">fit <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(SFO_SFO, FOCUS_<span class="dv">2006</span>_D, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE): Observations with -## value of zero were removed from the data</code></pre> <p>A plot of the fit including a residual plot for both observed variables is obtained using the <code>plot_sep</code> method for <code>mkinfit</code> objects, which shows separate graphs for all compounds and their residuals.</p> -<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1"><span class="kw"><a href="../reference/plot.mkinfit.html">plot_sep</a></span>(fit, <span class="dt">lpos =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"topright"</span>, <span class="st">"bottomright"</span>))</a></code></pre></div> +<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1"><span class="kw"><a href="../reference/plot.mkinfit.html">plot_sep</a></span>(fit, <span class="dt">lpos =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"topright"</span>, <span class="st">"bottomright"</span>))</a></code></pre></div> <p><img src="FOCUS_D_files/figure-html/plot-1.png" width="768"></p> <p>Confidence intervals for the parameter estimates are obtained using the <code>mkinparplot</code> function.</p> -<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1"><span class="kw"><a href="../reference/mkinparplot.html">mkinparplot</a></span>(fit)</a></code></pre></div> +<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1"><span class="kw"><a href="../reference/mkinparplot.html">mkinparplot</a></span>(fit)</a></code></pre></div> <p><img src="FOCUS_D_files/figure-html/plot_2-1.png" width="768"></p> <p>A comprehensive report of the results is obtained using the <code>summary</code> method for <code>mkinfit</code> objects.</p> -<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(fit)</a></code></pre></div> -<pre><code>## mkin version used for fitting: 0.9.49.5 +<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(fit)</a></code></pre></div> +<pre><code>## mkin version used for fitting: 0.9.48.1 ## R version used for fitting: 3.6.0 -## Date of fit: Thu Jul 4 08:04:23 2019 -## Date of summary: Thu Jul 4 08:04:24 2019 +## Date of fit: Fri Jul 5 15:52:50 2019 +## Date of summary: Fri Jul 5 15:52:50 2019 ## ## Equations: ## d_parent/dt = - k_parent_sink * parent - k_parent_m1 * parent @@ -177,19 +175,16 @@ ## ## Model predictions using solution type deSolve ## -## Fitted using 389 model solutions performed in 0.982 s +## Fitted with method Port using 153 model solutions performed in 0.63 s ## -## Error model: Constant variance -## -## Error model algorithm: d_3 +## Weighting: none ## ## Starting values for parameters to be optimised: -## value type -## parent_0 100.750000 state -## k_parent_sink 0.100000 deparm -## k_parent_m1 0.100100 deparm -## k_m1_sink 0.100200 deparm -## sigma 3.125504 error +## value type +## parent_0 100.7500 state +## k_parent_sink 0.1000 deparm +## k_parent_m1 0.1001 deparm +## k_m1_sink 0.1002 deparm ## ## Starting values for the transformed parameters actually optimised: ## value lower upper @@ -197,7 +192,6 @@ ## log_k_parent_sink -2.302585 -Inf Inf ## log_k_parent_m1 -2.301586 -Inf Inf ## log_k_m1_sink -2.300587 -Inf Inf -## sigma 3.125504 0 Inf ## ## Fixed parameter values: ## value type @@ -205,38 +199,31 @@ ## ## Optimised, transformed parameters with symmetric confidence intervals: ## Estimate Std. Error Lower Upper -## parent_0 99.600 1.57000 96.400 102.800 -## log_k_parent_sink -3.038 0.07626 -3.193 -2.883 -## log_k_parent_m1 -2.980 0.04033 -3.062 -2.898 -## log_k_m1_sink -5.248 0.13320 -5.518 -4.977 -## sigma 3.126 0.35850 2.396 3.855 +## parent_0 99.600 1.61400 96.330 102.900 +## log_k_parent_sink -3.038 0.07826 -3.197 -2.879 +## log_k_parent_m1 -2.980 0.04124 -3.064 -2.897 +## log_k_m1_sink -5.248 0.13610 -5.523 -4.972 ## ## Parameter correlation: -## parent_0 log_k_parent_sink log_k_parent_m1 -## parent_0 1.000e+00 6.067e-01 -6.372e-02 -## log_k_parent_sink 6.067e-01 1.000e+00 -8.550e-02 -## log_k_parent_m1 -6.372e-02 -8.550e-02 1.000e+00 -## log_k_m1_sink -1.688e-01 -6.252e-01 4.731e-01 -## sigma 1.164e-09 -8.908e-10 1.652e-08 -## log_k_m1_sink sigma -## parent_0 -1.688e-01 1.164e-09 -## log_k_parent_sink -6.252e-01 -8.908e-10 -## log_k_parent_m1 4.731e-01 1.652e-08 -## log_k_m1_sink 1.000e+00 -1.340e-10 -## sigma -1.340e-10 1.000e+00 +## parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink +## parent_0 1.00000 0.6075 -0.06625 -0.1701 +## log_k_parent_sink 0.60752 1.0000 -0.08740 -0.6253 +## log_k_parent_m1 -0.06625 -0.0874 1.00000 0.4716 +## log_k_m1_sink -0.17006 -0.6253 0.47164 1.0000 +## +## Residual standard error: 3.211 on 36 degrees of freedom ## ## Backtransformed parameters: ## Confidence intervals for internally transformed parameters are asymmetric. ## t-test (unrealistically) based on the assumption of normal distribution ## for estimators of untransformed parameters. ## Estimate t value Pr(>t) Lower Upper -## parent_0 99.600000 63.430 2.298e-36 96.400000 1.028e+02 -## k_parent_sink 0.047920 13.110 6.126e-15 0.041030 5.596e-02 -## k_parent_m1 0.050780 24.800 3.269e-23 0.046780 5.512e-02 -## k_m1_sink 0.005261 7.510 6.165e-09 0.004012 6.898e-03 -## sigma 3.126000 8.718 2.235e-10 2.396000 3.855e+00 +## parent_0 99.600000 61.720 2.024e-38 96.330000 1.029e+02 +## k_parent_sink 0.047920 12.780 3.050e-15 0.040890 5.616e-02 +## k_parent_m1 0.050780 24.250 3.407e-24 0.046700 5.521e-02 +## k_m1_sink 0.005261 7.349 5.758e-09 0.003992 6.933e-03 ## -## FOCUS Chi2 error levels in percent: +## Chi2 error levels in percent: ## err.min n.optim df ## All data 6.398 4 15 ## parent 6.827 3 6 @@ -273,6 +260,8 @@ ## 50 parent 0.63 0.71624 -8.624e-02 ## 75 parent 0.05 0.06074 -1.074e-02 ## 75 parent 0.06 0.06074 -7.382e-04 +## 0 m1 0.00 0.00000 0.000e+00 +## 0 m1 0.00 0.00000 0.000e+00 ## 1 m1 4.84 4.80296 3.704e-02 ## 1 m1 5.64 4.80296 8.370e-01 ## 3 m1 12.91 13.02400 -1.140e-01 @@ -287,8 +276,8 @@ ## 35 m1 37.95 43.31312 -5.363e+00 ## 50 m1 41.19 41.21831 -2.831e-02 ## 50 m1 40.01 41.21831 -1.208e+00 -## 75 m1 40.09 36.44703 3.643e+00 -## 75 m1 33.85 36.44703 -2.597e+00 +## 75 m1 40.09 36.44704 3.643e+00 +## 75 m1 33.85 36.44704 -2.597e+00 ## 100 m1 31.04 31.98163 -9.416e-01 ## 100 m1 33.13 31.98163 1.148e+00 ## 120 m1 25.15 28.78984 -3.640e+00 diff --git a/docs/articles/FOCUS_D_files/figure-html/plot-1.png b/docs/articles/FOCUS_D_files/figure-html/plot-1.png Binary files differindex fc1142ab..c0c6e567 100644 --- a/docs/articles/FOCUS_D_files/figure-html/plot-1.png +++ b/docs/articles/FOCUS_D_files/figure-html/plot-1.png diff --git a/docs/articles/FOCUS_D_files/figure-html/plot_2-1.png b/docs/articles/FOCUS_D_files/figure-html/plot_2-1.png Binary files differindex 97c61a16..9caac2b9 100644 --- a/docs/articles/FOCUS_D_files/figure-html/plot_2-1.png +++ b/docs/articles/FOCUS_D_files/figure-html/plot_2-1.png diff --git a/docs/articles/FOCUS_L.html b/docs/articles/FOCUS_L.html index 0060bd69..73ea645a 100644 --- a/docs/articles/FOCUS_L.html +++ b/docs/articles/FOCUS_L.html @@ -30,7 +30,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> @@ -88,7 +88,7 @@ <h1>Example evaluation of FOCUS Laboratory Data L1 to L3</h1> <h4 class="author">Johannes Ranke</h4> - <h4 class="date">2019-07-04</h4> + <h4 class="date">2019-07-05</h4> <div class="hidden name"><code>FOCUS_L.Rmd</code></div> @@ -112,59 +112,54 @@ <p>Since mkin version 0.9-32 (July 2014), we can use shorthand notation like <code>"SFO"</code> for parent only degradation models. The following two lines fit the model and produce the summary report of the model fit. This covers the numerical analysis given in the FOCUS report.</p> <div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb2-1" title="1">m.L1.SFO <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"SFO"</span>, FOCUS_<span class="dv">2006</span>_L1_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> <a class="sourceLine" id="cb2-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L1.SFO)</a></code></pre></div> -<pre><code>## mkin version used for fitting: 0.9.49.5 +<pre><code>## mkin version used for fitting: 0.9.48.1 ## R version used for fitting: 3.6.0 -## Date of fit: Thu Jul 4 08:04:26 2019 -## Date of summary: Thu Jul 4 08:04:26 2019 +## Date of fit: Fri Jul 5 15:52:52 2019 +## Date of summary: Fri Jul 5 15:52:52 2019 ## ## Equations: ## d_parent/dt = - k_parent_sink * parent ## ## Model predictions using solution type analytical ## -## Fitted using 133 model solutions performed in 0.278 s +## Fitted with method Port using 37 model solutions performed in 0.084 s ## -## Error model: Constant variance -## -## Error model algorithm: d_3 +## Weighting: none ## ## Starting values for parameters to be optimised: -## value type -## parent_0 89.850000 state -## k_parent_sink 0.100000 deparm -## sigma 2.779827 error +## value type +## parent_0 89.85 state +## k_parent_sink 0.10 deparm ## ## Starting values for the transformed parameters actually optimised: ## value lower upper ## parent_0 89.850000 -Inf Inf ## log_k_parent_sink -2.302585 -Inf Inf -## sigma 2.779827 0 Inf ## ## Fixed parameter values: ## None ## ## Optimised, transformed parameters with symmetric confidence intervals: ## Estimate Std. Error Lower Upper -## parent_0 92.470 1.28200 89.740 95.200 -## log_k_parent_sink -2.347 0.03763 -2.428 -2.267 -## sigma 2.780 0.46330 1.792 3.767 +## parent_0 92.470 1.36800 89.570 95.370 +## log_k_parent_sink -2.347 0.04057 -2.433 -2.261 ## ## Parameter correlation: -## parent_0 log_k_parent_sink sigma -## parent_0 1.000e+00 6.186e-01 -1.712e-09 -## log_k_parent_sink 6.186e-01 1.000e+00 -3.237e-09 -## sigma -1.712e-09 -3.237e-09 1.000e+00 +## parent_0 log_k_parent_sink +## parent_0 1.0000 0.6248 +## log_k_parent_sink 0.6248 1.0000 +## +## Residual standard error: 2.948 on 16 degrees of freedom ## ## Backtransformed parameters: ## Confidence intervals for internally transformed parameters are asymmetric. ## t-test (unrealistically) based on the assumption of normal distribution ## for estimators of untransformed parameters. ## Estimate t value Pr(>t) Lower Upper -## parent_0 92.47000 72.13 8.824e-21 89.74000 95.2000 -## k_parent_sink 0.09561 26.57 2.487e-14 0.08824 0.1036 -## sigma 2.78000 6.00 1.216e-05 1.79200 3.7670 +## parent_0 92.47000 67.58 2.170e-21 89.57000 95.3700 +## k_parent_sink 0.09561 24.65 1.867e-14 0.08773 0.1042 ## -## FOCUS Chi2 error levels in percent: +## Chi2 error levels in percent: ## err.min n.optim df ## All data 3.424 2 7 ## parent 3.424 2 7 @@ -205,22 +200,18 @@ <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-5-1.png" width="576"></p> <p>For comparison, the FOMC model is fitted as well, and the <span class="math inline">\(\chi^2\)</span> error level is checked.</p> <div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" title="1">m.L1.FOMC <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"FOMC"</span>, FOCUS_<span class="dv">2006</span>_L1_mkin, <span class="dt">quiet=</span><span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit("FOMC", FOCUS_2006_L1_mkin, quiet = TRUE): Optimisation did not converge: +<pre><code>## Warning in mkinfit("FOMC", FOCUS_2006_L1_mkin, quiet = TRUE): Optimisation by method Port did not converge: ## false convergence (8)</code></pre> <div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L1.FOMC, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>, <span class="dt">main =</span> <span class="st">"FOCUS L1 - FOMC"</span>)</a></code></pre></div> <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-6-1.png" width="576"></p> <div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L1.FOMC, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> -<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non- -## finite result is doubtful</code></pre> -<pre><code>## mkin version used for fitting: 0.9.49.5 +<pre><code>## mkin version used for fitting: 0.9.48.1 ## R version used for fitting: 3.6.0 -## Date of fit: Thu Jul 4 08:04:28 2019 -## Date of summary: Thu Jul 4 08:04:28 2019 +## Date of fit: Fri Jul 5 15:52:54 2019 +## Date of summary: Fri Jul 5 15:52:54 2019 ## ## -## Warning: Optimisation did not converge: +## Warning: Optimisation by method Port did not converge: ## false convergence (8) ## ## @@ -229,54 +220,49 @@ ## ## Model predictions using solution type analytical ## -## Fitted using 899 model solutions performed in 1.876 s +## Fitted with method Port using 741 model solutions performed in 1.637 s ## -## Error model: Constant variance -## -## Error model algorithm: d_3 +## Weighting: none ## ## Starting values for parameters to be optimised: -## value type -## parent_0 89.850000 state -## alpha 1.000000 deparm -## beta 10.000000 deparm -## sigma 2.779871 error +## value type +## parent_0 89.85 state +## alpha 1.00 deparm +## beta 10.00 deparm ## ## Starting values for the transformed parameters actually optimised: ## value lower upper ## parent_0 89.850000 -Inf Inf ## log_alpha 0.000000 -Inf Inf ## log_beta 2.302585 -Inf Inf -## sigma 2.779871 0 Inf ## ## Fixed parameter values: ## None ## ## Optimised, transformed parameters with symmetric confidence intervals: -## Estimate Std. Error Lower Upper -## parent_0 92.47 1.2800 89.730 95.220 -## log_alpha 10.58 NaN NaN NaN -## log_beta 12.93 NaN NaN NaN -## sigma 2.78 0.4507 1.813 3.747 +## Estimate Std. Error Lower Upper +## parent_0 92.47 1.454 89.37 95.57 +## log_alpha 10.58 1164.000 -2471.00 2492.00 +## log_beta 12.93 1164.000 -2469.00 2495.00 ## ## Parameter correlation: -## parent_0 log_alpha log_beta sigma -## parent_0 1.00000 NaN NaN 0.01452 -## log_alpha NaN 1 NaN NaN -## log_beta NaN NaN 1 NaN -## sigma 0.01452 NaN NaN 1.00000 +## parent_0 log_alpha log_beta +## parent_0 1.0000 0.2361 0.2361 +## log_alpha 0.2361 1.0000 1.0000 +## log_beta 0.2361 1.0000 1.0000 +## +## Residual standard error: 3.045 on 15 degrees of freedom ## ## Backtransformed parameters: ## Confidence intervals for internally transformed parameters are asymmetric. ## t-test (unrealistically) based on the assumption of normal distribution ## for estimators of untransformed parameters. -## Estimate t value Pr(>t) Lower Upper -## parent_0 92.47 72.13000 1.052e-19 89.730 95.220 -## alpha 39440.00 0.02397 4.906e-01 NA NA -## beta 412500.00 0.02397 4.906e-01 NA NA -## sigma 2.78 6.00000 1.628e-05 1.813 3.747 +## Estimate t value Pr(>t) Lower Upper +## parent_0 92.47 65.32000 3.886e-20 89.37 95.57 +## alpha 39440.00 0.01639 4.936e-01 0.00 Inf +## beta 412500.00 0.01639 4.936e-01 0.00 Inf ## -## FOCUS Chi2 error levels in percent: +## Chi2 error levels in percent: ## err.min n.optim df ## All data 3.619 3 6 ## parent 3.619 3 6 @@ -292,19 +278,19 @@ <h1 class="hasAnchor"> <a href="#laboratory-data-l2" class="anchor"></a>Laboratory Data L2</h1> <p>The following code defines example dataset L2 from the FOCUS kinetics report, p. 287:</p> -<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1">FOCUS_<span class="dv">2006</span>_L2 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a> -<a class="sourceLine" id="cb14-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/rep">rep</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">28</span>), <span class="dt">each =</span> <span class="dv">2</span>),</a> -<a class="sourceLine" id="cb14-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">96.1</span>, <span class="fl">91.8</span>, <span class="fl">41.4</span>, <span class="fl">38.7</span>,</a> -<a class="sourceLine" id="cb14-4" title="4"> <span class="fl">19.3</span>, <span class="fl">22.3</span>, <span class="fl">4.6</span>, <span class="fl">4.6</span>,</a> -<a class="sourceLine" id="cb14-5" title="5"> <span class="fl">2.6</span>, <span class="fl">1.2</span>, <span class="fl">0.3</span>, <span class="fl">0.6</span>))</a> -<a class="sourceLine" id="cb14-6" title="6">FOCUS_<span class="dv">2006</span>_L2_mkin <-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L2)</a></code></pre></div> +<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1">FOCUS_<span class="dv">2006</span>_L2 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a> +<a class="sourceLine" id="cb11-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/rep">rep</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">28</span>), <span class="dt">each =</span> <span class="dv">2</span>),</a> +<a class="sourceLine" id="cb11-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">96.1</span>, <span class="fl">91.8</span>, <span class="fl">41.4</span>, <span class="fl">38.7</span>,</a> +<a class="sourceLine" id="cb11-4" title="4"> <span class="fl">19.3</span>, <span class="fl">22.3</span>, <span class="fl">4.6</span>, <span class="fl">4.6</span>,</a> +<a class="sourceLine" id="cb11-5" title="5"> <span class="fl">2.6</span>, <span class="fl">1.2</span>, <span class="fl">0.3</span>, <span class="fl">0.6</span>))</a> +<a class="sourceLine" id="cb11-6" title="6">FOCUS_<span class="dv">2006</span>_L2_mkin <-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L2)</a></code></pre></div> <div id="sfo-fit-for-l2" class="section level2"> <h2 class="hasAnchor"> <a href="#sfo-fit-for-l2" class="anchor"></a>SFO fit for L2</h2> <p>Again, the SFO model is fitted and the result is plotted. The residual plot can be obtained simply by adding the argument <code>show_residuals</code> to the plot command.</p> -<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb15-1" title="1">m.L2.SFO <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"SFO"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet=</span><span class="ot">TRUE</span>)</a> -<a class="sourceLine" id="cb15-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.SFO, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>,</a> -<a class="sourceLine" id="cb15-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - SFO"</span>)</a></code></pre></div> +<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb12-1" title="1">m.L2.SFO <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"SFO"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet=</span><span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb12-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.SFO, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>,</a> +<a class="sourceLine" id="cb12-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - SFO"</span>)</a></code></pre></div> <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-8-1.png" width="672"></p> <p>The <span class="math inline">\(\chi^2\)</span> error level of 14% suggests that the model does not fit very well. This is also obvious from the plots of the fit, in which we have included the residual plot.</p> <p>In the FOCUS kinetics report, it is stated that there is no apparent systematic error observed from the residual plot up to the measured DT90 (approximately at day 5), and there is an underestimation beyond that point.</p> @@ -314,69 +300,64 @@ <h2 class="hasAnchor"> <a href="#fomc-fit-for-l2" class="anchor"></a>FOMC fit for L2</h2> <p>For comparison, the FOMC model is fitted as well, and the <span class="math inline">\(\chi^2\)</span> error level is checked.</p> -<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1">m.L2.FOMC <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"FOMC"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> -<a class="sourceLine" id="cb16-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.FOMC, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>,</a> -<a class="sourceLine" id="cb16-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - FOMC"</span>)</a></code></pre></div> +<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1">m.L2.FOMC <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"FOMC"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb13-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.FOMC, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>,</a> +<a class="sourceLine" id="cb13-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - FOMC"</span>)</a></code></pre></div> <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-9-1.png" width="672"></p> -<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb17-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L2.FOMC, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> -<pre><code>## mkin version used for fitting: 0.9.49.5 +<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L2.FOMC, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> +<pre><code>## mkin version used for fitting: 0.9.48.1 ## R version used for fitting: 3.6.0 -## Date of fit: Thu Jul 4 08:04:29 2019 -## Date of summary: Thu Jul 4 08:04:29 2019 +## Date of fit: Fri Jul 5 15:52:55 2019 +## Date of summary: Fri Jul 5 15:52:55 2019 ## ## Equations: ## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent ## ## Model predictions using solution type analytical ## -## Fitted using 239 model solutions performed in 0.486 s -## -## Error model: Constant variance +## Fitted with method Port using 81 model solutions performed in 0.178 s ## -## Error model algorithm: d_3 +## Weighting: none ## ## Starting values for parameters to be optimised: -## value type -## parent_0 93.950000 state -## alpha 1.000000 deparm -## beta 10.000000 deparm -## sigma 2.275722 error +## value type +## parent_0 93.95 state +## alpha 1.00 deparm +## beta 10.00 deparm ## ## Starting values for the transformed parameters actually optimised: ## value lower upper ## parent_0 93.950000 -Inf Inf ## log_alpha 0.000000 -Inf Inf ## log_beta 2.302585 -Inf Inf -## sigma 2.275722 0 Inf ## ## Fixed parameter values: ## None ## ## Optimised, transformed parameters with symmetric confidence intervals: -## Estimate Std. Error Lower Upper -## parent_0 93.7700 1.6130 90.05000 97.4900 -## log_alpha 0.3180 0.1559 -0.04149 0.6776 -## log_beta 0.2102 0.2493 -0.36460 0.7850 -## sigma 2.2760 0.4645 1.20500 3.3470 +## Estimate Std. Error Lower Upper +## parent_0 93.7700 1.8560 89.5700 97.9700 +## log_alpha 0.3180 0.1867 -0.1044 0.7405 +## log_beta 0.2102 0.2943 -0.4555 0.8759 ## ## Parameter correlation: -## parent_0 log_alpha log_beta sigma -## parent_0 1.000e+00 -1.151e-01 -2.085e-01 -7.637e-09 -## log_alpha -1.151e-01 1.000e+00 9.741e-01 -1.617e-07 -## log_beta -2.085e-01 9.741e-01 1.000e+00 -1.387e-07 -## sigma -7.637e-09 -1.617e-07 -1.387e-07 1.000e+00 +## parent_0 log_alpha log_beta +## parent_0 1.00000 -0.09553 -0.1863 +## log_alpha -0.09553 1.00000 0.9757 +## log_beta -0.18628 0.97567 1.0000 +## +## Residual standard error: 2.628 on 9 degrees of freedom ## ## Backtransformed parameters: ## Confidence intervals for internally transformed parameters are asymmetric. ## t-test (unrealistically) based on the assumption of normal distribution ## for estimators of untransformed parameters. ## Estimate t value Pr(>t) Lower Upper -## parent_0 93.770 58.120 4.267e-12 90.0500 97.490 -## alpha 1.374 6.414 1.030e-04 0.9594 1.969 -## beta 1.234 4.012 1.942e-03 0.6945 2.192 -## sigma 2.276 4.899 5.977e-04 1.2050 3.347 +## parent_0 93.770 50.510 1.173e-12 89.5700 97.970 +## alpha 1.374 5.355 2.296e-04 0.9009 2.097 +## beta 1.234 3.398 3.949e-03 0.6341 2.401 ## -## FOCUS Chi2 error levels in percent: +## Chi2 error levels in percent: ## err.min n.optim df ## All data 6.205 3 3 ## parent 6.205 3 3 @@ -390,15 +371,17 @@ <h2 class="hasAnchor"> <a href="#dfop-fit-for-l2" class="anchor"></a>DFOP fit for L2</h2> <p>Fitting the four parameter DFOP model further reduces the <span class="math inline">\(\chi^2\)</span> error level.</p> -<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb19-1" title="1">m.L2.DFOP <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"DFOP"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> -<a class="sourceLine" id="cb19-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.DFOP, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>,</a> -<a class="sourceLine" id="cb19-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - DFOP"</span>)</a></code></pre></div> +<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1">m.L2.DFOP <-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"DFOP"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb16-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.DFOP, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>,</a> +<a class="sourceLine" id="cb16-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - DFOP"</span>)</a></code></pre></div> <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-10-1.png" width="672"></p> -<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L2.DFOP, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> -<pre><code>## mkin version used for fitting: 0.9.49.5 +<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb17-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L2.DFOP, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(m.L2.DFOP, data = FALSE): Could not estimate +## covariance matrix; singular system.</code></pre> +<pre><code>## mkin version used for fitting: 0.9.48.1 ## R version used for fitting: 3.6.0 -## Date of fit: Thu Jul 4 08:04:30 2019 -## Date of summary: Thu Jul 4 08:04:30 2019 +## Date of fit: Fri Jul 5 15:52:56 2019 +## Date of summary: Fri Jul 5 15:52:56 2019 ## ## Equations: ## d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * @@ -407,19 +390,16 @@ ## ## Model predictions using solution type analytical ## -## Fitted using 572 model solutions performed in 1.19 s +## Fitted with method Port using 336 model solutions performed in 0.752 s ## -## Error model: Constant variance -## -## Error model algorithm: d_3 +## Weighting: none ## ## Starting values for parameters to be optimised: -## value type -## parent_0 93.950000 state -## k1 0.100000 deparm -## k2 0.010000 deparm -## g 0.500000 deparm -## sigma 1.413899 error +## value type +## parent_0 93.95 state +## k1 0.10 deparm +## k2 0.01 deparm +## g 0.50 deparm ## ## Starting values for the transformed parameters actually optimised: ## value lower upper @@ -427,39 +407,32 @@ ## log_k1 -2.302585 -Inf Inf ## log_k2 -4.605170 -Inf Inf ## g_ilr 0.000000 -Inf Inf -## sigma 1.413899 0 Inf ## ## Fixed parameter values: ## None ## ## Optimised, transformed parameters with symmetric confidence intervals: -## Estimate Std. Error Lower Upper -## parent_0 93.9500 9.998e-01 91.5900 96.3100 -## log_k1 3.1370 2.376e+03 -5616.0000 5622.0000 -## log_k2 -1.0880 6.285e-02 -1.2370 -0.9394 -## g_ilr -0.2821 7.033e-02 -0.4484 -0.1158 -## sigma 1.4140 2.886e-01 0.7314 2.0960 +## Estimate Std. Error Lower Upper +## parent_0 93.9500 NA NA NA +## log_k1 3.1370 NA NA NA +## log_k2 -1.0880 NA NA NA +## g_ilr -0.2821 NA NA NA ## ## Parameter correlation: -## parent_0 log_k1 log_k2 g_ilr sigma -## parent_0 1.000e+00 5.155e-07 2.371e-09 2.665e-01 -6.849e-09 -## log_k1 5.155e-07 1.000e+00 8.434e-05 -1.659e-04 -7.791e-06 -## log_k2 2.371e-09 8.434e-05 1.000e+00 -7.903e-01 -1.262e-08 -## g_ilr 2.665e-01 -1.659e-04 -7.903e-01 1.000e+00 3.241e-08 -## sigma -6.849e-09 -7.791e-06 -1.262e-08 3.241e-08 1.000e+00 +## Could not estimate covariance matrix; singular system. +## Residual standard error: 1.732 on 8 degrees of freedom ## ## Backtransformed parameters: ## Confidence intervals for internally transformed parameters are asymmetric. ## t-test (unrealistically) based on the assumption of normal distribution ## for estimators of untransformed parameters. -## Estimate t value Pr(>t) Lower Upper -## parent_0 93.9500 9.397e+01 2.036e-12 91.5900 96.3100 -## k1 23.0400 4.303e-04 4.998e-01 0.0000 Inf -## k2 0.3369 1.591e+01 4.697e-07 0.2904 0.3909 -## g 0.4016 1.680e+01 3.238e-07 0.3466 0.4591 -## sigma 1.4140 4.899e+00 8.776e-04 0.7314 2.0960 -## -## FOCUS Chi2 error levels in percent: +## Estimate t value Pr(>t) Lower Upper +## parent_0 93.9500 NA NA NA NA +## k1 23.0400 NA NA NA NA +## k2 0.3369 NA NA NA NA +## g 0.4016 NA NA NA NA +## +## Chi2 error levels in percent: ## err.min n.optim df ## All data 2.53 4 2 ## parent 2.53 4 2 @@ -474,18 +447,18 @@ <h1 class="hasAnchor"> <a href="#laboratory-data-l3" class="anchor"></a>Laboratory Data L3</h1> <p>The following code defines example dataset L3 from the FOCUS kinetics report, p. 290.</p> -<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1">FOCUS_<span class="dv">2006</span>_L3 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a> -<a class="sourceLine" id="cb22-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">30</span>, <span class="dv">60</span>, <span class="dv">91</span>, <span class="dv">120</span>),</a> -<a class="sourceLine" id="cb22-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">97.8</span>, <span class="dv">60</span>, <span class="dv">51</span>, <span class="dv">43</span>, <span class="dv">35</span>, <span class="dv">22</span>, <span class="dv">15</span>, <span class="dv">12</span>))</a> -<a class="sourceLine" id="cb22-4" title="4">FOCUS_<span class="dv">2006</span>_L3_mkin <-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L3)</a></code></pre></div> +<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1">FOCUS_<span class="dv">2006</span>_L3 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a> +<a class="sourceLine" id="cb20-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">30</span>, <span class="dv">60</span>, <span class="dv">91</span>, <span class="dv">120</span>),</a> +<a class="sourceLine" id="cb20-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">97.8</span>, <span class="dv">60</span>, <span class="dv">51</span>, <span class="dv">43</span>, <span class="dv">35</span>, <span class="dv">22</span>, <span class="dv">15</span>, <span class="dv">12</span>))</a> +<a class="sourceLine" id="cb20-4" title="4">FOCUS_<span class="dv">2006</span>_L3_mkin <-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L3)</a></code></pre></div> <div id="fit-multiple-models" class="section level2"> <h2 class="hasAnchor"> <a href="#fit-multiple-models" class="anchor"></a>Fit multiple models</h2> <p>As of mkin version 0.9-39 (June 2015), we can fit several models to one or more datasets in one call to the function <code>mmkin</code>. The datasets have to be passed in a list, in this case a named list holding only the L3 dataset prepared above.</p> -<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb23-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a> -<a class="sourceLine" id="cb23-2" title="2">mm.L3 <-<span class="st"> </span><span class="kw"><a href="../reference/mmkin.html">mmkin</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>), <span class="dt">cores =</span> <span class="dv">1</span>,</a> -<a class="sourceLine" id="cb23-3" title="3"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="st">"FOCUS L3"</span> =<span class="st"> </span>FOCUS_<span class="dv">2006</span>_L3_mkin), <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> -<a class="sourceLine" id="cb23-4" title="4"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L3)</a></code></pre></div> +<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb21-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a> +<a class="sourceLine" id="cb21-2" title="2">mm.L3 <-<span class="st"> </span><span class="kw"><a href="../reference/mmkin.html">mmkin</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>), <span class="dt">cores =</span> <span class="dv">1</span>,</a> +<a class="sourceLine" id="cb21-3" title="3"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="st">"FOCUS L3"</span> =<span class="st"> </span>FOCUS_<span class="dv">2006</span>_L3_mkin), <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb21-4" title="4"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L3)</a></code></pre></div> <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-12-1.png" width="700"></p> <p>The <span class="math inline">\(\chi^2\)</span> error level of 21% as well as the plot suggest that the SFO model does not fit very well. The FOMC model performs better, with an error level at which the <span class="math inline">\(\chi^2\)</span> test passes of 7%. Fitting the four parameter DFOP model further reduces the <span class="math inline">\(\chi^2\)</span> error level considerably.</p> </div> @@ -494,11 +467,11 @@ <a href="#accessing-mmkin-objects" class="anchor"></a>Accessing mmkin objects</h2> <p>The objects returned by mmkin are arranged like a matrix, with models as a row index and datasets as a column index.</p> <p>We can extract the summary and plot for <em>e.g.</em> the DFOP fit, using square brackets for indexing which will result in the use of the summary and plot functions working on mkinfit objects.</p> -<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb24-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]])</a></code></pre></div> -<pre><code>## mkin version used for fitting: 0.9.49.5 +<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]])</a></code></pre></div> +<pre><code>## mkin version used for fitting: 0.9.48.1 ## R version used for fitting: 3.6.0 -## Date of fit: Thu Jul 4 08:04:32 2019 -## Date of summary: Thu Jul 4 08:04:32 2019 +## Date of fit: Fri Jul 5 15:52:56 2019 +## Date of summary: Fri Jul 5 15:52:57 2019 ## ## Equations: ## d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * @@ -507,19 +480,16 @@ ## ## Model predictions using solution type analytical ## -## Fitted using 373 model solutions performed in 0.773 s +## Fitted with method Port using 137 model solutions performed in 0.305 s ## -## Error model: Constant variance -## -## Error model algorithm: d_3 +## Weighting: none ## ## Starting values for parameters to be optimised: -## value type -## parent_0 97.800000 state -## k1 0.100000 deparm -## k2 0.010000 deparm -## g 0.500000 deparm -## sigma 1.017292 error +## value type +## parent_0 97.80 state +## k1 0.10 deparm +## k2 0.01 deparm +## g 0.50 deparm ## ## Starting values for the transformed parameters actually optimised: ## value lower upper @@ -527,39 +497,37 @@ ## log_k1 -2.302585 -Inf Inf ## log_k2 -4.605170 -Inf Inf ## g_ilr 0.000000 -Inf Inf -## sigma 1.017292 0 Inf ## ## Fixed parameter values: ## None ## ## Optimised, transformed parameters with symmetric confidence intervals: -## Estimate Std. Error Lower Upper -## parent_0 97.7500 1.01900 94.5000 101.000000 -## log_k1 -0.6612 0.10050 -0.9812 -0.341300 -## log_k2 -4.2860 0.04322 -4.4230 -4.148000 -## g_ilr -0.1229 0.03727 -0.2415 -0.004343 -## sigma 1.0170 0.25430 0.2079 1.827000 +## Estimate Std. Error Lower Upper +## parent_0 97.7500 1.43800 93.7500 101.70000 +## log_k1 -0.6612 0.13340 -1.0310 -0.29100 +## log_k2 -4.2860 0.05902 -4.4500 -4.12200 +## g_ilr -0.1229 0.05121 -0.2651 0.01925 ## ## Parameter correlation: -## parent_0 log_k1 log_k2 g_ilr sigma -## parent_0 1.000e+00 1.732e-01 2.282e-02 4.009e-01 -6.872e-07 -## log_k1 1.732e-01 1.000e+00 4.945e-01 -5.809e-01 3.200e-07 -## log_k2 2.282e-02 4.945e-01 1.000e+00 -6.812e-01 7.673e-07 -## g_ilr 4.009e-01 -5.809e-01 -6.812e-01 1.000e+00 -8.731e-07 -## sigma -6.872e-07 3.200e-07 7.673e-07 -8.731e-07 1.000e+00 +## parent_0 log_k1 log_k2 g_ilr +## parent_0 1.00000 0.1640 0.01315 0.4253 +## log_k1 0.16400 1.0000 0.46478 -0.5526 +## log_k2 0.01315 0.4648 1.00000 -0.6631 +## g_ilr 0.42526 -0.5526 -0.66310 1.0000 +## +## Residual standard error: 1.439 on 4 degrees of freedom ## ## Backtransformed parameters: ## Confidence intervals for internally transformed parameters are asymmetric. ## t-test (unrealistically) based on the assumption of normal distribution ## for estimators of untransformed parameters. ## Estimate t value Pr(>t) Lower Upper -## parent_0 97.75000 95.960 1.248e-06 94.50000 101.00000 -## k1 0.51620 9.947 1.081e-03 0.37490 0.71090 -## k2 0.01376 23.140 8.840e-05 0.01199 0.01579 -## g 0.45660 34.920 2.581e-05 0.41540 0.49850 -## sigma 1.01700 4.000 1.400e-02 0.20790 1.82700 +## parent_0 97.75000 67.970 1.404e-07 93.75000 101.70000 +## k1 0.51620 7.499 8.460e-04 0.35650 0.74750 +## k2 0.01376 16.940 3.557e-05 0.01168 0.01621 +## g 0.45660 25.410 7.121e-06 0.40730 0.50680 ## -## FOCUS Chi2 error levels in percent: +## Chi2 error levels in percent: ## err.min n.optim df ## All data 2.225 4 4 ## parent 2.225 4 4 @@ -578,7 +546,7 @@ ## 60 parent 22.0 23.26 -1.25919 ## 91 parent 15.0 15.18 -0.18181 ## 120 parent 12.0 10.19 1.81395</code></pre> -<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb26-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]], <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>)</a></code></pre></div> +<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb24-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]], <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>)</a></code></pre></div> <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-13-1.png" width="700"></p> <p>Here, a look to the model plot, the confidence intervals of the parameters and the correlation matrix suggest that the parameter estimates are reliable, and the DFOP model can be used as the best-fit model based on the <span class="math inline">\(\chi^2\)</span> error level criterion for laboratory data L3.</p> <p>This is also an example where the standard t-test for the parameter <code>g_ilr</code> is misleading, as it tests for a significant difference from zero. In this case, zero appears to be the correct value for this parameter, and the confidence interval for the backtransformed parameter <code>g</code> is quite narrow.</p> @@ -588,72 +556,67 @@ <h1 class="hasAnchor"> <a href="#laboratory-data-l4" class="anchor"></a>Laboratory Data L4</h1> <p>The following code defines example dataset L4 from the FOCUS kinetics report, p. 293:</p> -<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1">FOCUS_<span class="dv">2006</span>_L4 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a> -<a class="sourceLine" id="cb27-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">30</span>, <span class="dv">60</span>, <span class="dv">91</span>, <span class="dv">120</span>),</a> -<a class="sourceLine" id="cb27-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">96.6</span>, <span class="fl">96.3</span>, <span class="fl">94.3</span>, <span class="fl">88.8</span>, <span class="fl">74.9</span>, <span class="fl">59.9</span>, <span class="fl">53.5</span>, <span class="fl">49.0</span>))</a> -<a class="sourceLine" id="cb27-4" title="4">FOCUS_<span class="dv">2006</span>_L4_mkin <-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L4)</a></code></pre></div> +<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb25-1" title="1">FOCUS_<span class="dv">2006</span>_L4 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a> +<a class="sourceLine" id="cb25-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">30</span>, <span class="dv">60</span>, <span class="dv">91</span>, <span class="dv">120</span>),</a> +<a class="sourceLine" id="cb25-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">96.6</span>, <span class="fl">96.3</span>, <span class="fl">94.3</span>, <span class="fl">88.8</span>, <span class="fl">74.9</span>, <span class="fl">59.9</span>, <span class="fl">53.5</span>, <span class="fl">49.0</span>))</a> +<a class="sourceLine" id="cb25-4" title="4">FOCUS_<span class="dv">2006</span>_L4_mkin <-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L4)</a></code></pre></div> <p>Fits of the SFO and FOMC models, plots and summaries are produced below:</p> -<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb28-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a> -<a class="sourceLine" id="cb28-2" title="2">mm.L4 <-<span class="st"> </span><span class="kw"><a href="../reference/mmkin.html">mmkin</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>), <span class="dt">cores =</span> <span class="dv">1</span>,</a> -<a class="sourceLine" id="cb28-3" title="3"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="st">"FOCUS L4"</span> =<span class="st"> </span>FOCUS_<span class="dv">2006</span>_L4_mkin),</a> -<a class="sourceLine" id="cb28-4" title="4"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> -<a class="sourceLine" id="cb28-5" title="5"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L4)</a></code></pre></div> +<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb26-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a> +<a class="sourceLine" id="cb26-2" title="2">mm.L4 <-<span class="st"> </span><span class="kw"><a href="../reference/mmkin.html">mmkin</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>), <span class="dt">cores =</span> <span class="dv">1</span>,</a> +<a class="sourceLine" id="cb26-3" title="3"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="st">"FOCUS L4"</span> =<span class="st"> </span>FOCUS_<span class="dv">2006</span>_L4_mkin),</a> +<a class="sourceLine" id="cb26-4" title="4"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb26-5" title="5"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L4)</a></code></pre></div> <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-15-1.png" width="700"></p> <p>The <span class="math inline">\(\chi^2\)</span> error level of 3.3% as well as the plot suggest that the SFO model fits very well. The error level at which the <span class="math inline">\(\chi^2\)</span> test passes is slightly lower for the FOMC model. However, the difference appears negligible.</p> -<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L4[[<span class="st">"SFO"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> -<pre><code>## mkin version used for fitting: 0.9.49.5 +<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L4[[<span class="st">"SFO"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> +<pre><code>## mkin version used for fitting: 0.9.48.1 ## R version used for fitting: 3.6.0 -## Date of fit: Thu Jul 4 08:04:33 2019 -## Date of summary: Thu Jul 4 08:04:33 2019 +## Date of fit: Fri Jul 5 15:52:57 2019 +## Date of summary: Fri Jul 5 15:52:57 2019 ## ## Equations: ## d_parent/dt = - k_parent_sink * parent ## ## Model predictions using solution type analytical ## -## Fitted using 142 model solutions performed in 0.29 s +## Fitted with method Port using 46 model solutions performed in 0.1 s ## -## Error model: Constant variance -## -## Error model algorithm: d_3 +## Weighting: none ## ## Starting values for parameters to be optimised: -## value type -## parent_0 96.60000 state -## k_parent_sink 0.10000 deparm -## sigma 3.16181 error +## value type +## parent_0 96.6 state +## k_parent_sink 0.1 deparm ## ## Starting values for the transformed parameters actually optimised: ## value lower upper ## parent_0 96.600000 -Inf Inf ## log_k_parent_sink -2.302585 -Inf Inf -## sigma 3.161810 0 Inf ## ## Fixed parameter values: ## None ## ## Optimised, transformed parameters with symmetric confidence intervals: ## Estimate Std. Error Lower Upper -## parent_0 96.440 1.69900 92.070 100.800 -## log_k_parent_sink -5.030 0.07059 -5.211 -4.848 -## sigma 3.162 0.79050 1.130 5.194 +## parent_0 96.44 1.94900 91.670 101.200 +## log_k_parent_sink -5.03 0.07999 -5.225 -4.834 ## ## Parameter correlation: -## parent_0 log_k_parent_sink sigma -## parent_0 1.000e+00 5.938e-01 3.440e-07 -## log_k_parent_sink 5.938e-01 1.000e+00 5.885e-07 -## sigma 3.440e-07 5.885e-07 1.000e+00 +## parent_0 log_k_parent_sink +## parent_0 1.0000 0.5865 +## log_k_parent_sink 0.5865 1.0000 +## +## Residual standard error: 3.651 on 6 degrees of freedom ## ## Backtransformed parameters: ## Confidence intervals for internally transformed parameters are asymmetric. ## t-test (unrealistically) based on the assumption of normal distribution ## for estimators of untransformed parameters. ## Estimate t value Pr(>t) Lower Upper -## parent_0 96.440000 56.77 1.604e-08 92.070000 1.008e+02 -## k_parent_sink 0.006541 14.17 1.578e-05 0.005455 7.842e-03 -## sigma 3.162000 4.00 5.162e-03 1.130000 5.194e+00 +## parent_0 96.440000 49.49 2.283e-09 91.670000 1.012e+02 +## k_parent_sink 0.006541 12.50 8.008e-06 0.005378 7.955e-03 ## -## FOCUS Chi2 error levels in percent: +## Chi2 error levels in percent: ## err.min n.optim df ## All data 3.287 2 6 ## parent 3.287 2 6 @@ -665,65 +628,60 @@ ## Estimated disappearance times: ## DT50 DT90 ## parent 106 352</code></pre> -<div class="sourceCode" id="cb31"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb31-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L4[[<span class="st">"FOMC"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> -<pre><code>## mkin version used for fitting: 0.9.49.5 +<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L4[[<span class="st">"FOMC"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div> +<pre><code>## mkin version used for fitting: 0.9.48.1 ## R version used for fitting: 3.6.0 -## Date of fit: Thu Jul 4 08:04:33 2019 -## Date of summary: Thu Jul 4 08:04:33 2019 +## Date of fit: Fri Jul 5 15:52:57 2019 +## Date of summary: Fri Jul 5 15:52:57 2019 ## ## Equations: ## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent ## ## Model predictions using solution type analytical ## -## Fitted using 224 model solutions performed in 0.453 s +## Fitted with method Port using 66 model solutions performed in 0.145 s ## -## Error model: Constant variance -## -## Error model algorithm: d_3 +## Weighting: none ## ## Starting values for parameters to be optimised: -## value type -## parent_0 96.600000 state -## alpha 1.000000 deparm -## beta 10.000000 deparm -## sigma 1.830055 error +## value type +## parent_0 96.6 state +## alpha 1.0 deparm +## beta 10.0 deparm ## ## Starting values for the transformed parameters actually optimised: ## value lower upper ## parent_0 96.600000 -Inf Inf ## log_alpha 0.000000 -Inf Inf ## log_beta 2.302585 -Inf Inf -## sigma 1.830055 0 Inf ## ## Fixed parameter values: ## None ## ## Optimised, transformed parameters with symmetric confidence intervals: -## Estimate Std. Error Lower Upper -## parent_0 99.1400 1.2670 95.6300 102.7000 -## log_alpha -0.3506 0.2616 -1.0770 0.3756 -## log_beta 4.1740 0.3938 3.0810 5.2670 -## sigma 1.8300 0.4575 0.5598 3.1000 +## Estimate Std. Error Lower Upper +## parent_0 99.1400 1.6800 94.820 103.5000 +## log_alpha -0.3506 0.3725 -1.308 0.6068 +## log_beta 4.1740 0.5635 2.726 5.6230 ## ## Parameter correlation: -## parent_0 log_alpha log_beta sigma -## parent_0 1.000e+00 -4.696e-01 -5.543e-01 -2.563e-07 -## log_alpha -4.696e-01 1.000e+00 9.889e-01 4.066e-08 -## log_beta -5.543e-01 9.889e-01 1.000e+00 6.818e-08 -## sigma -2.563e-07 4.066e-08 6.818e-08 1.000e+00 +## parent_0 log_alpha log_beta +## parent_0 1.0000 -0.5365 -0.6083 +## log_alpha -0.5365 1.0000 0.9913 +## log_beta -0.6083 0.9913 1.0000 +## +## Residual standard error: 2.315 on 5 degrees of freedom ## ## Backtransformed parameters: ## Confidence intervals for internally transformed parameters are asymmetric. ## t-test (unrealistically) based on the assumption of normal distribution ## for estimators of untransformed parameters. ## Estimate t value Pr(>t) Lower Upper -## parent_0 99.1400 78.250 7.993e-08 95.6300 102.700 -## alpha 0.7042 3.823 9.365e-03 0.3407 1.456 -## beta 64.9800 2.540 3.201e-02 21.7800 193.900 -## sigma 1.8300 4.000 8.065e-03 0.5598 3.100 +## parent_0 99.1400 59.020 1.322e-08 94.8200 103.500 +## alpha 0.7042 2.685 2.178e-02 0.2703 1.835 +## beta 64.9800 1.775 6.807e-02 15.2600 276.600 ## -## FOCUS Chi2 error levels in percent: +## Chi2 error levels in percent: ## err.min n.optim df ## All data 2.029 3 5 ## parent 2.029 3 5 diff --git a/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-12-1.png b/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-12-1.png Binary files differindex f23a4c97..7e231d84 100644 --- a/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-12-1.png +++ b/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-12-1.png diff --git a/docs/articles/index.html b/docs/articles/index.html index c2982f4b..95828a82 100644 --- a/docs/articles/index.html +++ b/docs/articles/index.html @@ -60,7 +60,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> diff --git a/docs/articles/mkin.html b/docs/articles/mkin.html index 8ad4a8e9..b2df33b7 100644 --- a/docs/articles/mkin.html +++ b/docs/articles/mkin.html @@ -30,7 +30,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> @@ -88,7 +88,7 @@ <h1>Introduction to mkin</h1> <h4 class="author">Johannes Ranke</h4> - <h4 class="date">2019-07-04</h4> + <h4 class="date">2019-07-05</h4> <div class="hidden name"><code>mkin.Rmd</code></div> @@ -101,7 +101,7 @@ <div id="abstract" class="section level1"> <h1 class="hasAnchor"> <a href="#abstract" class="anchor"></a>Abstract</h1> -<p>In the regulatory evaluation of chemical substances like plant protection products (pesticides), biocides and other chemicals, degradation data play an important role. For the evaluation of pesticide degradation experiments, detailed guidance has been developed, based on nonlinear optimisation. The <code>R</code> add-on package <code>mkin</code> <span class="citation">(Ranke 2016)</span> implements fitting some of the models recommended in this guidance from within R and calculates some statistical measures for data series within one or more compartments, for parent and metabolites.</p> +<p>In the regulatory evaluation of chemical substances like plant protection products (pesticides), biocides and other chemicals, degradation data play an important role. For the evaluation of pesticide degradation experiments, detailed guidance has been developed, based on nonlinear optimisation. The <code>R</code> add-on package <code>mkin</code> implements fitting some of the models recommended in this guidance from within R and calculates some statistical measures for data series within one or more compartments, for parent and metabolites.</p> <div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb1-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/library">library</a></span>(<span class="st">"mkin"</span>, <span class="dt">quietly =</span> <span class="ot">TRUE</span>)</a> <a class="sourceLine" id="cb1-2" title="2"><span class="co"># Define the kinetic model</span></a> <a class="sourceLine" id="cb1-3" title="3">m_SFO_SFO_SFO <-<span class="st"> </span><span class="kw"><a href="../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">parent =</span> <span class="kw"><a href="../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M1"</span>),</a> @@ -136,24 +136,26 @@ <h1 class="hasAnchor"> <a href="#background" class="anchor"></a>Background</h1> <p>Many approaches are possible regarding the evaluation of chemical degradation data.</p> -<p>The <code>mkin</code> package <span class="citation">(Ranke 2016)</span> implements the approach recommended in the kinetics report provided by the FOrum for Co-ordination of pesticide fate models and their USe <span class="citation">(FOCUS Work Group on Degradation Kinetics 2006, 2014)</span> implements this approach for simple decline data series, data series with transformation products, commonly termed metabolites, data series for more than one compartment. It is also possible to include back reactions, so equilibrium reactions and equilibrium partitioning can be specified, although this oftentimes leads to an overparameterisation of the model.</p> +<p>The <code>mkin</code> package <span class="citation">(Ranke 2019)</span> implements the approach recommended in the kinetics report provided by the FOrum for Co-ordination of pesticide fate models and their USe <span class="citation">(FOCUS Work Group on Degradation Kinetics 2006, 2014)</span> for simple decline data series, data series with transformation products, commonly termed metabolites, and for data series for more than one compartment. It is also possible to include back reactions, so equilibrium reactions and equilibrium partitioning can be specified, although this oftentimes leads to an overparameterisation of the model.</p> <p>When the first <code>mkin</code> code was published in 2010, the most commonly used tools for fitting more complex kinetic degradation models to experimental data were KinGUI <span class="citation">(Schäfer et al. 2007)</span>, a MATLAB based tool with a graphical user interface that was specifically tailored to the task and included some output as proposed by the FOCUS Kinetics Workgroup, and ModelMaker, a general purpose compartment based tool providing infrastructure for fitting dynamic simulation models based on differential equations to data.</p> <p>The code was first uploaded to the BerliOS platform. When this was taken down, the version control history was imported into the R-Forge site (see <em>e.g.</em> <a href="http://cgit.jrwb.de/mkin/commit/?id=30cbb4092f6d2d3beff5800603374a0d009ad770">the initial commit on 11 May 2010</a>), where the code is still occasionally updated.</p> -<p>At that time, the R package <code>FME</code> (Flexible Modelling Environment) <span class="citation">(Soetaert and Petzoldt 2010)</span> was already available, and provided a good basis for developing a package specifically tailored to the task. The remaining challenge was to make it as easy as possible for the users (including the author of this vignette) to specify the system of differential equations and to include the output requested by the FOCUS guidance, such as the relative standard deviation that has to be assumed for the residuals, such that the <span class="math inline">\(\chi^2\)</span> goodness-of-fit test as defined by the FOCUS kinetics workgroup would pass using an significance level <span class="math inline">\(\alpha\)</span> of 0.05.</p> -<p>Also, <code>mkin</code> introduced using analytical solutions for parent only kinetics for improved optimization speed. Later, Eigenvalue based solutions were introduced to <code>mkin</code> for the case of linear differential equations (<em>i.e.</em> where the FOMC or DFOP models were not used for the parent compound), greatly improving the optimization speed for these cases.</p> +<p>At that time, the R package <code>FME</code> (Flexible Modelling Environment) <span class="citation">(Soetaert and Petzoldt 2010)</span> was already available, and provided a good basis for developing a package specifically tailored to the task. The remaining challenge was to make it as easy as possible for the users (including the author of this vignette) to specify the system of differential equations and to include the output requested by the FOCUS guidance, such as the relative standard deviation that has to be assumed for the residuals, such that the <span class="math inline">\(\chi^2\)</span> goodness-of-fit test as defined by the FOCUS kinetics workgroup would pass using an significance level <span class="math inline">\(\alpha\)</span> of 0.05. This relative error, expressed as a percentage, is often termed <span class="math inline">\(\chi^2\)</span> error level or similar.</p> +<p>Also, <code>mkin</code> introduced using analytical solutions for parent only kinetics for improved optimization speed. Later, Eigenvalue based solutions were introduced to <code>mkin</code> for the case of linear differential equations (<em>i.e.</em> where the FOMC or DFOP models were not used for the parent compound), greatly improving the optimization speed for these cases. This, however, has become somehow obsolete, as the use of compiled code described below gives even smaller execution times.</p> <p>The possibility to specify back-reactions and a biphasic model (SFORB) for metabolites were present in <code>mkin</code> from the very beginning.</p> <div id="derived-software-tools" class="section level2"> <h2 class="hasAnchor"> <a href="#derived-software-tools" class="anchor"></a>Derived software tools</h2> <p>Soon after the publication of <code>mkin</code>, two derived tools were published, namely KinGUII (available from Bayer Crop Science) and CAKE (commissioned to Tessella by Syngenta), which added a graphical user interface (GUI), and added fitting by iteratively reweighted least squares (IRLS) and characterisation of likely parameter distributions by Markov Chain Monte Carlo (MCMC) sampling.</p> -<p>CAKE focuses on a smooth use experience, sacrificing some flexibility in the model definition, originally allowing only two primary metabolites in parallel. The current version 3.2 of CAKE release in March 2016 uses a basic scheme for up to six metabolites in a flexible arrangement, but does not support back-reactions (non-instantaneous equilibria) or biphasic kinetics for metabolites.</p> +<p>CAKE focuses on a smooth use experience, sacrificing some flexibility in the model definition, originally allowing only two primary metabolites in parallel. The current version 3.3 of CAKE release in March 2016 uses a basic scheme for up to six metabolites in a flexible arrangement, but does not support back-reactions (non-instantaneous equilibria) or biphasic kinetics for metabolites.</p> <p>KinGUI offers an even more flexible widget for specifying complex kinetic models. Back-reactions (non-instanteneous equilibria) were supported early on, but until 2014, only simple first-order models could be specified for transformation products. Starting with KinGUII version 2.1, biphasic modelling of metabolites was also available in KinGUII.</p> <p>A further graphical user interface (GUI) that has recently been brought to a decent degree of maturity is the browser based GUI named <code>gmkin</code>. Please see its <a href="https://pkgdown.jrwb.de/gmkin">documentation page</a> and <a href="https://pkgdown.jrwb.de/gmkin/articles/gmkin_manual.html">manual</a> for further information.</p> +<p>A comparison of scope, usability and numerical results obtained with these tools has been recently been published by <span class="citation">Ranke, Wöltjen, and Meinecke (2018)</span>.</p> </div> <div id="recent-developments" class="section level2"> <h2 class="hasAnchor"> <a href="#recent-developments" class="anchor"></a>Recent developments</h2> -<p>Currently (June 2016), the main features available in <code>mkin</code> which are not present in KinGUII or CAKE, are the speed increase by using compiled code when a compiler is present, parallel model fitting on multicore machines using the <code>mmkin</code> function, and the estimation of parameter confidence intervals based on transformed parameters. These are explained in more detail below.</p> +<p>Currently (July 2019), the main features available in <code>mkin</code> which are not present in KinGUII or CAKE, are the speed increase by using compiled code when a compiler is present, parallel model fitting on multicore machines using the <code>mmkin</code> function, and the estimation of parameter confidence intervals based on transformed parameters.</p> +<p>In addition, the possibility to use two alternative error models to constant variance have been integrated. The variance by variable error model introduced by <span class="citation">Gao et al. (2011)</span> has been available via an iteratively reweighted least squares (IRLS) procedure since mkin <a href="https://pkgdown.jrwb.de/mkin/news/index.html#mkin-0-9-22-2013-10-26">version 0.9-22</a>. With <a href="https://pkgdown.jrwb.de/mkin/news/index.html#mkin-0-9-49-5-2019-07-04">release 0.9.49.5</a>, the IRLS algorithm has been replaced by direct or step-wise maximisation of the likelihood function, which makes it possible not only to fit the variance by variable error model but also a <a href="https://pkgdown.jrwb.de/mkin/reference/sigma_twocomp.html">two-component error model</a> inspired by error models developed in analytical chemistry.</p> </div> </div> <div id="internal-parameter-transformations" class="section level1"> @@ -193,8 +195,11 @@ <div id="ref-FOCUSkinetics2014"> <p>———. 2014. <em>Generic Guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in Eu Registration</em>. 1.1 ed. <a href="http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics" class="uri">http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a>.</p> </div> +<div id="ref-gao11"> +<p>Gao, Z., J.W. Green, J. Vanderborght, and W. Schmitt. 2011. “Improving Uncertainty Analysis in Kinetic Evaluations Using Iteratively Reweighted Least Squares.” Journal. <em>Environmental Science and Technology</em> 45: 4429–37.</p> +</div> <div id="ref-pkg:mkin"> -<p>Ranke, J. 2016. <em>‘Mkin‘: Kinetic Evaluation of Chemical Degradation Data</em>. <a href="https://CRAN.R-project.org/package=mkin" class="uri">https://CRAN.R-project.org/package=mkin</a>.</p> +<p>Ranke, J. 2019. <em>‘mkin‘: Kinetic Evaluation of Chemical Degradation Data</em>. <a href="https://CRAN.R-project.org/package=mkin" class="uri">https://CRAN.R-project.org/package=mkin</a>.</p> </div> <div id="ref-ranke2012"> <p>Ranke, J., and R. Lehmann. 2012. “Parameter Reliability in Kinetic Evaluation of Environmental Metabolism Data - Assessment and the Influence of Model Specification.” In <em>SETAC World 20-24 May</em>. Berlin.</p> @@ -202,6 +207,9 @@ <div id="ref-ranke2015"> <p>———. 2015. “To T-Test or Not to T-Test, That Is the Question.” In <em>XV Symposium on Pesticide Chemistry 2-4 September 2015</em>. Piacenza. <a href="http://chem.uft.uni-bremen.de/ranke/posters/piacenza_2015.pdf" class="uri">http://chem.uft.uni-bremen.de/ranke/posters/piacenza_2015.pdf</a>.</p> </div> +<div id="ref-ranke2018"> +<p>Ranke, Johannes, Janina Wöltjen, and Stefan Meinecke. 2018. “Comparison of Software Tools for Kinetic Evaluation of Chemical Degradation Data.” <em>Environmental Sciences Europe</em> 30 (1): 17. <a href="https://doi.org/10.1186/s12302-018-0145-1" class="uri">https://doi.org/10.1186/s12302-018-0145-1</a>.</p> +</div> <div id="ref-schaefer2007"> <p>Schäfer, D., B. Mikolasch, P. Rainbird, and B. Harvey. 2007. “KinGUI: A New Kinetic Software Tool for Evaluations According to FOCUS Degradation Kinetics.” In <em>Proceedings of the Xiii Symposium Pesticide Chemistry</em>, edited by Del Re A. A. M., Capri E., Fragoulis G., and Trevisan M., 916–23. Piacenza.</p> </div> diff --git a/docs/articles/twa.html b/docs/articles/twa.html index 98e5efdf..fabae1bc 100644 --- a/docs/articles/twa.html +++ b/docs/articles/twa.html @@ -30,7 +30,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> @@ -88,7 +88,7 @@ <h1>Calculation of time weighted average concentrations with mkin</h1> <h4 class="author">Johannes Ranke</h4> - <h4 class="date">2019-07-04</h4> + <h4 class="date">2019-07-05</h4> <div class="hidden name"><code>twa.Rmd</code></div> diff --git a/docs/articles/web_only/FOCUS_Z.html b/docs/articles/web_only/FOCUS_Z.html index 4a856b71..2a59b69d 100644 --- a/docs/articles/web_only/FOCUS_Z.html +++ b/docs/articles/web_only/FOCUS_Z.html @@ -30,7 +30,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> @@ -88,7 +88,7 @@ <h1>Example evaluation of FOCUS dataset Z</h1> <h4 class="author">Johannes Ranke</h4> - <h4 class="date">2019-07-04</h4> + <h4 class="date">2019-07-05</h4> <div class="hidden name"><code>FOCUS_Z.Rmd</code></div> @@ -125,92 +125,82 @@ <div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb2-1" title="1">Z<span class="fl">.2</span>a <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>),</a> <a class="sourceLine" id="cb2-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" title="1">m.Z<span class="fl">.2</span>a <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.2</span>a, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.2a, FOCUS_2006_Z_mkin, quiet = TRUE): Observations -## with value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.2</span>a)</a></code></pre></div> +<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" title="1">m.Z<span class="fl">.2</span>a <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.2</span>a, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb4-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.2</span>a)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png" width="700"></p> -<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.2</span>a, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div> -<pre><code>## Estimate se_notrans t value Pr(>t) Lower Upper -## Z0_0 9.7015e+01 3.393176 2.8591e+01 6.4352e-21 91.66556 102.3642 -## k_Z0_sink 7.2231e-10 0.225254 3.2067e-09 5.0000e-01 0.00000 Inf -## k_Z0_Z1 2.2360e+00 0.159134 1.4051e+01 1.1369e-13 1.95303 2.5600 -## k_Z1_sink 4.8212e-01 0.065454 7.3658e+00 5.1186e-08 0.40341 0.5762 -## sigma 4.8041e+00 0.637618 7.5345e+00 3.4431e-08 3.52677 6.0815</code></pre> +<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.2</span>a, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div> +<pre><code>## Estimate se_notrans t value Pr(>t) Lower Upper +## Z0_0 9.7015e+01 3.553140 2.7304e+01 1.6792e-21 91.4112 102.61853 +## k_Z0_sink 7.2008e-10 0.226895 3.1736e-09 5.0000e-01 0.0000 Inf +## k_Z0_Z1 2.2360e+00 0.165074 1.3545e+01 7.3943e-14 1.8393 2.71827 +## k_Z1_sink 4.8212e-01 0.065854 7.3212e+00 3.5520e-08 0.4006 0.58023</code></pre> <p>As obvious from the parameter summary (the component of the summary), the kinetic rate constant from parent compound Z to sink is very small and the t-test for this parameter suggests that it is not significantly different from zero. This suggests, in agreement with the analysis in the FOCUS kinetics report, to simplify the model by removing the pathway to sink.</p> <p>A similar result can be obtained when formation fractions are used in the model formulation:</p> -<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1">Z<span class="fl">.2</span>a.ff <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>),</a> -<a class="sourceLine" id="cb9-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> -<a class="sourceLine" id="cb9-3" title="3"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div> +<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1">Z<span class="fl">.2</span>a.ff <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>),</a> +<a class="sourceLine" id="cb7-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> +<a class="sourceLine" id="cb7-3" title="3"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1">m.Z<span class="fl">.2</span>a.ff <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.2</span>a.ff, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.2a.ff, FOCUS_2006_Z_mkin, quiet = TRUE): Observations -## with value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.2</span>a.ff)</a></code></pre></div> +<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1">m.Z<span class="fl">.2</span>a.ff <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.2</span>a.ff, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb9-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.2</span>a.ff)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_2-1.png" width="700"></p> -<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.2</span>a.ff, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div> -<pre><code>## Estimate se_notrans t value Pr(>t) Lower Upper -## Z0_0 97.01488 3.301084 29.3888 3.2971e-21 91.66556 102.3642 -## k_Z0 2.23601 0.207078 10.7979 3.3309e-11 1.95303 2.5600 -## k_Z1 0.48212 0.063265 7.6207 2.8155e-08 0.40341 0.5762 -## f_Z0_to_Z1 1.00000 0.094764 10.5525 5.3560e-11 0.00000 1.0000 -## sigma 4.80411 0.635638 7.5579 3.2592e-08 3.52677 6.0815</code></pre> +<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.2</span>a.ff, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(m.Z.2a.ff, data = FALSE): Could not estimate +## covariance matrix; singular system.</code></pre> +<pre><code>## Estimate se_notrans t value Pr(>t) Lower Upper +## Z0_0 97.01488 3.553145 27.3040 1.6793e-21 NA NA +## k_Z0 2.23601 0.216848 10.3114 3.6620e-11 NA NA +## k_Z1 0.48212 0.065854 7.3211 3.5520e-08 NA NA +## f_Z0_to_Z1 1.00000 0.101473 9.8548 9.7068e-11 NA NA</code></pre> <p>Here, the ilr transformed formation fraction fitted in the model takes a very large value, and the backtransformed formation fraction from parent Z to Z1 is practically unity. Here, the covariance matrix used for the calculation of confidence intervals is not returned as the model is overparameterised.</p> <p>A simplified model is obtained by removing the pathway to the sink. </p> <p>In the following, we use the parameterisation with formation fractions in order to be able to compare with the results in the FOCUS guidance, and as it makes it easier to use parameters obtained in a previous fit when adding a further metabolite.</p> -<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1">Z<span class="fl">.3</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb16-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>), <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div> +<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1">Z<span class="fl">.3</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb13-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>), <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb18-1" title="1">m.Z<span class="fl">.3</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.3</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.3, FOCUS_2006_Z_mkin, quiet = TRUE): Observations with -## value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.3</span>)</a></code></pre></div> +<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb15-1" title="1">m.Z<span class="fl">.3</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.3</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb15-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.3</span>)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_3-1.png" width="700"></p> -<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb21-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.3</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div> -<pre><code>## Estimate se_notrans t value Pr(>t) Lower Upper -## Z0_0 97.01488 2.597342 37.352 2.0106e-24 91.67597 102.3538 -## k_Z0 2.23601 0.146904 15.221 9.1477e-15 1.95354 2.5593 -## k_Z1 0.48212 0.041727 11.554 4.8268e-12 0.40355 0.5760 -## sigma 4.80411 0.620208 7.746 1.6110e-08 3.52925 6.0790</code></pre> +<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.3</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div> +<pre><code>## Estimate se_notrans t value Pr(>t) Lower Upper +## Z0_0 97.01488 2.681770 36.176 2.3636e-25 91.52153 102.508 +## k_Z0 2.23601 0.146862 15.225 2.2469e-15 1.95453 2.558 +## k_Z1 0.48212 0.042687 11.294 3.0685e-12 0.40216 0.578</code></pre> <p>As there is only one transformation product for Z0 and no pathway to sink, the formation fraction is internally fixed to unity.</p> </div> <div id="metabolites-z2-and-z3" class="section level1"> <h1 class="hasAnchor"> <a href="#metabolites-z2-and-z3" class="anchor"></a>Metabolites Z2 and Z3</h1> <p>As suggested in the FOCUS report, the pathway to sink was removed for metabolite Z1 as well in the next step. While this step appears questionable on the basis of the above results, it is followed here for the purpose of comparison. Also, in the FOCUS report, it is assumed that there is additional empirical evidence that Z1 quickly and exclusively hydrolyses to Z2.</p> -<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb23-1" title="1">Z<span class="fl">.5</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb23-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb23-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>), <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div> +<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb18-1" title="1">Z<span class="fl">.5</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb18-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb18-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>), <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb25-1" title="1">m.Z<span class="fl">.5</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.5, FOCUS_2006_Z_mkin, quiet = TRUE): Observations with -## value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.5</span>)</a></code></pre></div> +<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1">m.Z<span class="fl">.5</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb20-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.5</span>)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_5-1.png" width="700"></p> <p>Finally, metabolite Z3 is added to the model. We use the optimised differential equation parameter values from the previous fit in order to accelerate the optimization.</p> -<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb28-1" title="1">Z.FOCUS <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb28-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb28-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a> -<a class="sourceLine" id="cb28-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> -<a class="sourceLine" id="cb28-5" title="5"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div> +<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb21-1" title="1">Z.FOCUS <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb21-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb21-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a> +<a class="sourceLine" id="cb21-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> +<a class="sourceLine" id="cb21-5" title="5"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb30"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb30-1" title="1">m.Z.FOCUS <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.FOCUS, FOCUS_<span class="dv">2006</span>_Z_mkin,</a> -<a class="sourceLine" id="cb30-2" title="2"> <span class="dt">parms.ini =</span> m.Z<span class="fl">.5</span><span class="op">$</span>bparms.ode,</a> -<a class="sourceLine" id="cb30-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.FOCUS, FOCUS_2006_Z_mkin, parms.ini = m.Z. -## 5$bparms.ode, : Observations with value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb32"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb32-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.FOCUS)</a></code></pre></div> +<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb23-1" title="1">m.Z.FOCUS <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.FOCUS, FOCUS_<span class="dv">2006</span>_Z_mkin,</a> +<a class="sourceLine" id="cb23-2" title="2"> <span class="dt">parms.ini =</span> m.Z<span class="fl">.5</span><span class="op">$</span>bparms.ode,</a> +<a class="sourceLine" id="cb23-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> +<pre><code>## Warning in mkinfit(Z.FOCUS, FOCUS_2006_Z_mkin, parms.ini = m.Z.5$bparms.ode, : Optimisation by method Port did not converge: +## false convergence (8)</code></pre> +<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb25-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.FOCUS)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_6-1.png" width="700"></p> -<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb33-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.FOCUS, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div> -<pre><code>## Estimate se_notrans t value Pr(>t) Lower Upper -## Z0_0 96.838607 1.994273 48.5584 4.0283e-42 92.826626 100.850589 -## k_Z0 2.215405 0.118459 18.7018 1.0415e-23 1.989465 2.467003 -## k_Z1 0.478300 0.028257 16.9267 6.2408e-22 0.424701 0.538662 -## k_Z2 0.451618 0.042138 10.7177 1.6308e-14 0.374328 0.544867 -## k_Z3 0.058693 0.015246 3.8498 1.7806e-04 0.034805 0.098978 -## f_Z2_to_Z3 0.471508 0.058352 8.0804 9.6648e-11 0.357735 0.588320 -## sigma 3.984431 0.383402 10.3923 4.5575e-14 3.213126 4.755736</code></pre> -<div class="sourceCode" id="cb35"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb35-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.FOCUS)</a></code></pre></div> +<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb26-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.FOCUS, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div> +<pre><code>## Estimate se_notrans t value Pr(>t) Lower Upper +## Z0_0 96.838695 2.058856 47.0352 5.5825e-44 92.705465 100.97192 +## k_Z0 2.215407 0.118130 18.7540 7.7427e-25 1.990629 2.46557 +## k_Z1 0.478300 0.029289 16.3305 3.3382e-22 0.422974 0.54086 +## k_Z2 0.451619 0.044213 10.2146 3.1113e-14 0.371037 0.54970 +## k_Z3 0.058693 0.014295 4.1058 7.2882e-05 0.035996 0.09570 +## f_Z2_to_Z3 0.471507 0.057053 8.2643 2.8118e-11 0.360388 0.58552</code></pre> +<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb28-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.FOCUS)</a></code></pre></div> <pre><code>## $ff ## Z2_Z3 Z2_sink ## 0.47151 0.52849 @@ -222,8 +212,8 @@ ## DT50 DT90 ## Z0 0.31288 1.0394 ## Z1 1.44919 4.8141 -## Z2 1.53481 5.0985 -## Z3 11.80965 39.2308</code></pre> +## Z2 1.53480 5.0985 +## Z3 11.80969 39.2310</code></pre> <p>This fit corresponds to the final result chosen in Appendix 7 of the FOCUS report. Confidence intervals returned by mkin are based on internally transformed parameters, however.</p> </div> <div id="using-the-sforb-model" class="section level1"> @@ -231,116 +221,77 @@ <a href="#using-the-sforb-model" class="anchor"></a>Using the SFORB model</h1> <p>As the FOCUS report states, there is a certain tailing of the time course of metabolite Z3. Also, the time course of the parent compound is not fitted very well using the SFO model, as residues at a certain low level remain.</p> <p>Therefore, an additional model is offered here, using the single first-order reversible binding (SFORB) model for metabolite Z3. As expected, the <span class="math inline">\(\chi^2\)</span> error level is lower for metabolite Z3 using this model and the graphical fit for Z3 is improved. However, the covariance matrix is not returned.</p> -<div class="sourceCode" id="cb37"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb37-1" title="1">Z.mkin<span class="fl">.1</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb37-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb37-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a> -<a class="sourceLine" id="cb37-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>))</a></code></pre></div> +<div class="sourceCode" id="cb30"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb30-1" title="1">Z.mkin<span class="fl">.1</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb30-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb30-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a> +<a class="sourceLine" id="cb30-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>))</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb39"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb39-1" title="1">m.Z.mkin<span class="fl">.1</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.1</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.mkin.1, FOCUS_2006_Z_mkin, quiet = TRUE): Observations -## with value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb41"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb41-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.1</span>)</a></code></pre></div> +<div class="sourceCode" id="cb32"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb32-1" title="1">m.Z.mkin<span class="fl">.1</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.1</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb32-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.1</span>)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_7-1.png" width="700"></p> -<div class="sourceCode" id="cb42"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb42-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.mkin<span class="fl">.1</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>cov.unscaled</a></code></pre></div> -<pre><code>## Z0_0 log_k_Z0_Z1 log_k_Z1_Z2 log_k_Z2_sink -## Z0_0 3.8375e+00 5.4918e-03 3.0584e-02 1.2969e-01 -## log_k_Z0_Z1 5.4918e-03 2.7613e-03 -1.8820e-04 2.6634e-04 -## log_k_Z1_Z2 3.0584e-02 -1.8820e-04 3.3807e-03 3.2177e-03 -## log_k_Z2_sink 1.2969e-01 2.6634e-04 3.2177e-03 3.4256e-02 -## log_k_Z2_Z3_free -2.4223e-02 -2.6169e-04 -1.1845e-03 -8.1134e-03 -## log_k_Z3_free_sink -6.5467e-02 -4.0815e-04 -3.2978e-03 -3.6010e-02 -## log_k_Z3_free_bound -6.0659e-02 -4.4768e-04 -3.0588e-03 -3.9074e-02 -## log_k_Z3_bound_free 5.2844e-01 4.5458e-03 7.9800e-03 4.6274e-02 -## sigma 2.0366e-10 -3.4658e-10 8.9910e-11 -2.5946e-10 -## log_k_Z2_Z3_free log_k_Z3_free_sink -## Z0_0 -2.4223e-02 -6.5467e-02 -## log_k_Z0_Z1 -2.6169e-04 -4.0815e-04 -## log_k_Z1_Z2 -1.1845e-03 -3.2978e-03 -## log_k_Z2_sink -8.1134e-03 -3.6010e-02 -## log_k_Z2_Z3_free 1.5500e-02 2.1583e-02 -## log_k_Z3_free_sink 2.1583e-02 7.5705e-02 -## log_k_Z3_free_bound 2.5836e-02 1.1964e-01 -## log_k_Z3_bound_free 5.2534e-02 2.9441e-01 -## sigma 1.3063e-10 3.4170e-10 -## log_k_Z3_free_bound log_k_Z3_bound_free sigma -## Z0_0 -6.0659e-02 5.2844e-01 2.0366e-10 -## log_k_Z0_Z1 -4.4768e-04 4.5458e-03 -3.4658e-10 -## log_k_Z1_Z2 -3.0588e-03 7.9800e-03 8.9910e-11 -## log_k_Z2_sink -3.9074e-02 4.6274e-02 -2.5946e-10 -## log_k_Z2_Z3_free 2.5836e-02 5.2534e-02 1.3063e-10 -## log_k_Z3_free_sink 1.1964e-01 2.9441e-01 3.4170e-10 -## log_k_Z3_free_bound 6.5902e-01 5.4737e+00 -6.7704e-10 -## log_k_Z3_bound_free 5.4737e+00 2.8722e+08 7.2421e-02 -## sigma -6.7704e-10 7.2421e-02 1.4170e-01</code></pre> +<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb33-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.mkin<span class="fl">.1</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>cov.unscaled</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(m.Z.mkin.1, data = FALSE): Could not estimate +## covariance matrix; singular system.</code></pre> +<pre><code>## NULL</code></pre> <p>Therefore, a further stepwise model building is performed starting from the stage of parent and two metabolites, starting from the assumption that the model fit for the parent compound can be improved by using the SFORB model.</p> -<div class="sourceCode" id="cb44"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb44-1" title="1">Z.mkin<span class="fl">.3</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb44-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb44-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div> +<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb36-1" title="1">Z.mkin<span class="fl">.3</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb36-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb36-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb46"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb46-1" title="1">m.Z.mkin<span class="fl">.3</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.3</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.mkin.3, FOCUS_2006_Z_mkin, quiet = TRUE): Observations -## with value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb48"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb48-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.3</span>)</a></code></pre></div> +<div class="sourceCode" id="cb38"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb38-1" title="1">m.Z.mkin<span class="fl">.3</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.3</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb38-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.3</span>)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png" width="700"></p> <p>This results in a much better representation of the behaviour of the parent compound Z0.</p> <p>Finally, Z3 is added as well. These models appear overparameterised (no covariance matrix returned) if the sink for Z1 is left in the models.</p> -<div class="sourceCode" id="cb49"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb49-1" title="1">Z.mkin<span class="fl">.4</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb49-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb49-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a> -<a class="sourceLine" id="cb49-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div> +<div class="sourceCode" id="cb39"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb39-1" title="1">Z.mkin<span class="fl">.4</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb39-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb39-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a> +<a class="sourceLine" id="cb39-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb51"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb51-1" title="1">m.Z.mkin<span class="fl">.4</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.4</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a> -<a class="sourceLine" id="cb51-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.3</span><span class="op">$</span>bparms.ode,</a> -<a class="sourceLine" id="cb51-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.mkin.4, FOCUS_2006_Z_mkin, parms.ini = m.Z.mkin. -## 3$bparms.ode, : Observations with value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb53"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb53-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.4</span>)</a></code></pre></div> +<div class="sourceCode" id="cb41"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb41-1" title="1">m.Z.mkin<span class="fl">.4</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.4</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a> +<a class="sourceLine" id="cb41-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.3</span><span class="op">$</span>bparms.ode,</a> +<a class="sourceLine" id="cb41-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb41-4" title="4"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.4</span>)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_10-1.png" width="700"></p> <p>The error level of the fit, but especially of metabolite Z3, can be improved if the SFORB model is chosen for this metabolite, as this model is capable of representing the tailing of the metabolite decline phase.</p> -<div class="sourceCode" id="cb54"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb54-1" title="1">Z.mkin<span class="fl">.5</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb54-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> -<a class="sourceLine" id="cb54-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a> -<a class="sourceLine" id="cb54-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>))</a></code></pre></div> +<div class="sourceCode" id="cb42"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb42-1" title="1">Z.mkin<span class="fl">.5</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb42-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a> +<a class="sourceLine" id="cb42-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a> +<a class="sourceLine" id="cb42-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>))</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb56"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb56-1" title="1">m.Z.mkin<span class="fl">.5</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a> -<a class="sourceLine" id="cb56-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.4</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">4</span>],</a> -<a class="sourceLine" id="cb56-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.mkin.5, FOCUS_2006_Z_mkin, parms.ini = m.Z.mkin. -## 4$bparms.ode[1:4], : Observations with value of zero were removed from the -## data</code></pre> -<div class="sourceCode" id="cb58"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb58-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.5</span>)</a></code></pre></div> +<div class="sourceCode" id="cb44"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb44-1" title="1">m.Z.mkin<span class="fl">.5</span> <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a> +<a class="sourceLine" id="cb44-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.4</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">4</span>],</a> +<a class="sourceLine" id="cb44-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb44-4" title="4"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.5</span>)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11-1.png" width="700"></p> <p>The summary view of the backtransformed parameters shows that we get no confidence intervals due to overparameterisation. As the optimized is excessively small, it seems reasonable to fix it to zero.</p> -<div class="sourceCode" id="cb59"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb59-1" title="1">m.Z.mkin<span class="fl">.5</span>a <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a> -<a class="sourceLine" id="cb59-2" title="2"> <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(m.Z.mkin<span class="fl">.5</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">7</span>],</a> -<a class="sourceLine" id="cb59-3" title="3"> <span class="dt">k_Z3_bound_free =</span> <span class="dv">0</span>),</a> -<a class="sourceLine" id="cb59-4" title="4"> <span class="dt">fixed_parms =</span> <span class="st">"k_Z3_bound_free"</span>,</a> -<a class="sourceLine" id="cb59-5" title="5"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div> -<pre><code>## Warning in mkinfit(Z.mkin.5, FOCUS_2006_Z_mkin, parms.ini = c(m.Z.mkin. -## 5$bparms.ode[1:7], : Observations with value of zero were removed from the -## data</code></pre> -<div class="sourceCode" id="cb61"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb61-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div> +<div class="sourceCode" id="cb45"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb45-1" title="1">m.Z.mkin<span class="fl">.5</span>a <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a> +<a class="sourceLine" id="cb45-2" title="2"> <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(m.Z.mkin<span class="fl">.5</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">7</span>],</a> +<a class="sourceLine" id="cb45-3" title="3"> <span class="dt">k_Z3_bound_free =</span> <span class="dv">0</span>),</a> +<a class="sourceLine" id="cb45-4" title="4"> <span class="dt">fixed_parms =</span> <span class="st">"k_Z3_bound_free"</span>,</a> +<a class="sourceLine" id="cb45-5" title="5"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb45-6" title="6"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11a-1.png" width="700"></p> <p>As expected, the residual plots for Z0 and Z3 are more random than in the case of the all SFO model for which they were shown above. In conclusion, the model is proposed as the best-fit model for the dataset from Appendix 7 of the FOCUS report.</p> <p>A graphical representation of the confidence intervals can finally be obtained.</p> -<div class="sourceCode" id="cb62"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb62-1" title="1"><span class="kw"><a href="../../reference/mkinparplot.html">mkinparplot</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div> +<div class="sourceCode" id="cb46"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb46-1" title="1"><span class="kw"><a href="../../reference/mkinparplot.html">mkinparplot</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div> <p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11b-1.png" width="700"></p> <p>The endpoints obtained with this model are</p> -<div class="sourceCode" id="cb63"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb63-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div> +<div class="sourceCode" id="cb47"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb47-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div> <pre><code>## $ff ## Z0_free_Z1 Z1_Z2 Z2_sink Z2_Z3_free Z3_free_sink ## 1.00000 1.00000 0.46344 0.53656 1.00000 ## ## $SFORB ## Z0_b1 Z0_b2 Z3_b1 Z3_b2 -## 2.4471381 0.0075124 0.0800075 0.0000000 +## 2.4471359 0.0075125 0.0800071 0.0000000 ## ## $distimes ## DT50 DT90 DT50_Z0_b1 DT50_Z0_b2 DT50_Z3_b1 DT50_Z3_b2 -## Z0 0.3043 1.1848 0.28325 92.267 NA NA +## Z0 0.3043 1.1848 0.28325 92.266 NA NA ## Z1 1.5148 5.0320 NA NA NA NA ## Z2 1.6414 5.4526 NA NA NA NA -## Z3 NA NA NA NA 8.6635 Inf</code></pre> +## Z3 NA NA NA NA 8.6636 Inf</code></pre> <p>It is clear the degradation rate of Z3 towards the end of the experiment is very low as DT50_Z3_b2 (the second Eigenvalue of the system of two differential equations representing the SFORB system for Z3, corresponding to the slower rate constant of the DFOP model) is reported to be infinity. However, this appears to be a feature of the data.</p> </div> <div id="references" class="section level1"> diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png Binary files differindex 471db177..2df6eb44 100644 --- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png +++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_10-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_10-1.png Binary files differindex 3c983f21..7090c421 100644 --- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_10-1.png +++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_10-1.png diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11-1.png 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a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png Binary files differindex 898e6190..c61388ab 100644 --- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png +++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png diff --git a/docs/articles/web_only/NAFTA_examples.html b/docs/articles/web_only/NAFTA_examples.html index 3f6ff8b9..c614166d 100644 --- a/docs/articles/web_only/NAFTA_examples.html +++ b/docs/articles/web_only/NAFTA_examples.html @@ -30,7 +30,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> @@ -88,7 +88,7 @@ <h1>Evaluation of example datasets from Attachment 1 to the US EPA SOP for the NAFTA guidance</h1> <h4 class="author">Johannes Ranke</h4> - <h4 class="date">2019-07-04</h4> + <h4 class="date">2019-07-05</h4> <div class="hidden name"><code>NAFTA_examples.Rmd</code></div> @@ -111,11 +111,13 @@ <h2 class="hasAnchor"> <a href="#example-on-page-5-upper-panel" class="anchor"></a>Example on page 5, upper panel</h2> <div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb1-1" title="1">p5a <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p5a"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p5a)</a></code></pre></div> +<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p5a)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p5a-1.png" width="700"></p> -<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p5a)</a></code></pre></div> +<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p5a)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 465.21753 56.27506 32.06401 @@ -126,24 +128,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 95.8401 4.67e-21 92.245 99.4357 -## k_parent_sink 0.0102 3.92e-12 0.009 0.0117 -## sigma 4.8230 3.81e-06 3.214 6.4318 +## parent_0 95.8401 1.10e-21 92.121 99.5597 +## k_parent_sink 0.0102 1.71e-12 0.009 0.0117 ## ## $IORE -## Estimate Pr(>t) Lower Upper -## parent_0 1.01e+02 NA 9.91e+01 1.02e+02 -## k__iore_parent_sink 1.54e-05 NA 4.08e-06 5.84e-05 -## N_parent 2.57e+00 NA 2.25e+00 2.89e+00 -## sigma 1.68e+00 NA 1.12e+00 2.24e+00 +## Estimate Pr(>t) Lower Upper +## parent_0 1.01e+02 2.37e-26 9.89e+01 1.03e+02 +## k__iore_parent_sink 1.54e-05 8.73e-02 3.48e-06 6.85e-05 +## N_parent 2.57e+00 1.14e-11 2.22e+00 2.92e+00 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 9.99e+01 1.41e-26 98.8116 101.0810 -## k1 2.67e-02 5.05e-06 0.0243 0.0295 -## k2 2.86e-12 5.00e-01 0.0000 Inf -## g 6.47e-01 3.67e-06 0.6248 0.6677 -## sigma 1.27e+00 8.91e-06 0.8395 1.6929 +## Estimate Pr(>t) Lower Upper +## parent_0 9.99e+01 4.33e-27 NA NA +## k1 2.67e-02 3.17e-05 NA NA +## k2 2.86e-12 5.00e-01 NA NA +## g 6.47e-01 2.13e-05 NA NA ## ## ## DTx values: @@ -153,17 +152,19 @@ ## DFOP 55.5 4.42e+11 2.42e+11 ## ## Representative half-life: -## [1] 321.51</code></pre> +## [1] 321.5119</code></pre> </div> <div id="example-on-page-5-lower-panel" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-5-lower-panel" class="anchor"></a>Example on page 5, lower panel</h2> -<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1">p5b <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p5b"</span>]])</a></code></pre></div> +<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1">p5b <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p5b"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p5b)</a></code></pre></div> +<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb12-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p5b)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p5b-1.png" width="700"></p> -<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p5b)</a></code></pre></div> +<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p5b)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 94.81123 10.10936 7.55871 @@ -174,24 +175,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 96.497 2.32e-24 94.85271 98.14155 -## k_parent_sink 0.008 3.42e-14 0.00737 0.00869 -## sigma 2.295 1.22e-05 1.47976 3.11036 +## parent_0 96.497 2.62e-25 94.77653 98.21774 +## k_parent_sink 0.008 1.35e-14 0.00736 0.00871 ## ## $IORE ## Estimate Pr(>t) Lower Upper -## parent_0 9.85e+01 1.17e-28 9.79e+01 9.92e+01 -## k__iore_parent_sink 1.53e-04 6.50e-03 7.21e-05 3.26e-04 -## N_parent 1.94e+00 5.88e-13 1.76e+00 2.12e+00 -## sigma 7.49e-01 1.63e-05 4.82e-01 1.02e+00 +## parent_0 9.85e+01 1.02e-29 9.78e+01 9.93e+01 +## k__iore_parent_sink 1.53e-04 1.15e-02 6.60e-05 3.56e-04 +## N_parent 1.94e+00 8.18e-13 1.74e+00 2.14e+00 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 9.84e+01 1.24e-27 97.8078 98.9187 -## k1 1.55e-02 4.10e-04 0.0143 0.0167 -## k2 1.16e-11 5.00e-01 0.0000 Inf -## g 6.89e-01 2.92e-03 0.6626 0.7142 -## sigma 6.48e-01 2.38e-05 0.4147 0.8813 +## Estimate Pr(>t) Lower Upper +## parent_0 9.84e+01 1.90e-28 NA NA +## k1 1.55e-02 2.83e-03 NA NA +## k2 1.16e-11 5.00e-01 NA NA +## g 6.89e-01 1.31e-02 NA NA ## ## ## DTx values: @@ -201,17 +199,19 @@ ## DFOP 83.6 9.80e+10 5.98e+10 ## ## Representative half-life: -## [1] 215.87</code></pre> +## [1] 215.8655</code></pre> </div> <div id="example-on-page-6" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-6" class="anchor"></a>Example on page 6</h2> -<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1">p6 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p6"</span>]])</a></code></pre></div> +<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb15-1" title="1">p6 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p6"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p6)</a></code></pre></div> +<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb19-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p6)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p6-1.png" width="700"></p> -<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb17-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p6)</a></code></pre></div> +<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p6)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 188.45361 51.00699 42.46931 @@ -222,24 +222,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 94.7759 7.29e-24 92.3478 97.2039 -## k_parent_sink 0.0179 8.02e-16 0.0166 0.0194 -## sigma 3.0696 3.81e-06 2.0456 4.0936 +## parent_0 94.7759 1.25e-24 92.2558 97.2960 +## k_parent_sink 0.0179 2.35e-16 0.0166 0.0194 ## ## $IORE ## Estimate Pr(>t) Lower Upper -## parent_0 97.12446 2.63e-26 95.62461 98.62431 -## k__iore_parent_sink 0.00252 1.95e-03 0.00134 0.00472 -## N_parent 1.49587 4.07e-13 1.33896 1.65279 -## sigma 1.59698 5.05e-06 1.06169 2.13227 +## parent_0 97.12446 5.62e-27 95.49343 98.75549 +## k__iore_parent_sink 0.00252 3.54e-03 0.00126 0.00502 +## N_parent 1.49587 6.13e-13 1.32380 1.66794 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 9.66e+01 1.57e-25 95.3476 97.8979 -## k1 2.55e-02 7.33e-06 0.0233 0.0278 -## k2 4.90e-11 5.00e-01 0.0000 Inf -## g 8.61e-01 7.55e-06 0.8314 0.8867 -## sigma 1.46e+00 6.93e-06 0.9661 1.9483 +## Estimate Pr(>t) Lower Upper +## parent_0 9.66e+01 4.17e-26 NA NA +## k1 2.55e-02 2.12e-05 NA NA +## k2 4.90e-11 5.00e-01 NA NA +## g 8.61e-01 2.10e-05 NA NA ## ## ## DTx values: @@ -249,17 +246,19 @@ ## DFOP 34.1 6.66e+09 1.41e+10 ## ## Representative half-life: -## [1] 53.17</code></pre> +## [1] 53.16582</code></pre> </div> <div id="example-on-page-7" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-7" class="anchor"></a>Example on page 7</h2> -<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb19-1" title="1">p7 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p7"</span>]])</a></code></pre></div> +<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1">p7 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p7"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p7)</a></code></pre></div> +<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb26-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p7)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p7-1.png" width="700"></p> -<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb23-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p7)</a></code></pre></div> +<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p7)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 3661.661 3195.030 3174.145 @@ -270,24 +269,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 96.41796 4.80e-53 93.32245 99.51347 -## k_parent_sink 0.00735 7.64e-21 0.00641 0.00843 -## sigma 7.94557 1.83e-15 6.46713 9.42401 +## parent_0 96.41796 1.52e-53 93.29554 99.54038 +## k_parent_sink 0.00735 3.59e-21 0.00641 0.00842 ## ## $IORE -## Estimate Pr(>t) Lower Upper -## parent_0 9.92e+01 NA 9.55e+01 1.03e+02 -## k__iore_parent_sink 1.60e-05 NA 1.45e-07 1.77e-03 -## N_parent 2.45e+00 NA 1.35e+00 3.54e+00 -## sigma 7.42e+00 NA 6.04e+00 8.80e+00 +## Estimate Pr(>t) Lower Upper +## parent_0 9.92e+01 7.33e-49 9.53e+01 1.03e+02 +## k__iore_parent_sink 1.60e-05 3.47e-01 9.98e-08 2.57e-03 +## N_parent 2.45e+00 6.14e-05 1.26e+00 3.63e+00 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 9.89e+01 9.44e-49 95.4640 102.2573 -## k1 1.81e-02 1.75e-01 0.0116 0.0281 -## k2 1.97e-10 5.00e-01 0.0000 Inf -## g 6.06e-01 2.19e-01 0.4826 0.7178 -## sigma 7.40e+00 2.97e-15 6.0201 8.7754 +## Estimate Pr(>t) Lower Upper +## parent_0 9.89e+01 8.13e-48 NA NA +## k1 1.81e-02 2.20e-01 NA NA +## k2 1.97e-10 5.00e-01 NA NA +## g 6.06e-01 2.60e-01 NA NA ## ## ## DTx values: @@ -297,7 +293,7 @@ ## DFOP 96.4 6.97e+09 3.52e+09 ## ## Representative half-life: -## [1] 454.55</code></pre> +## [1] 454.5528</code></pre> </div> </div> <div id="examples-where-the-representative-half-life-deviates-from-the-observed-dt50" class="section level1"> @@ -307,12 +303,17 @@ <h2 class="hasAnchor"> <a href="#example-on-page-8" class="anchor"></a>Example on page 8</h2> <p>For this dataset, the IORE fit does not converge when the default starting values used by mkin for the IORE model are used. Therefore, a lower value for the rate constant is used here.</p> -<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb25-1" title="1">p8 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p8"</span>]], <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dt">k__iore_parent_sink =</span> <span class="fl">1e-3</span>))</a></code></pre></div> +<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" title="1">p8 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p8"</span>]], <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dt">k__iore_parent_sink =</span> <span class="fl">1e-3</span>))</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system. + +## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb28-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p8)</a></code></pre></div> +<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb33-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p8)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p8-1.png" width="700"></p> -<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p8)</a></code></pre></div> +<div class="sourceCode" id="cb34"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb34-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p8)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 1996.9408 444.9237 547.5616 @@ -322,25 +323,24 @@ ## ## Parameters: ## $SFO -## Estimate Pr(>t) Lower Upper -## parent_0 88.16549 6.53e-29 83.37344 92.95754 -## k_parent_sink 0.00803 1.67e-13 0.00674 0.00957 -## sigma 7.44786 4.17e-10 5.66209 9.23363 +## Estimate Pr(>t) Lower Upper +## parent_0 88.16549 NA NA NA +## k__iore_parent_sink 0.00100 NA NA NA +## k_parent_sink 0.00803 NA NA NA ## ## $IORE ## Estimate Pr(>t) Lower Upper -## parent_0 9.77e+01 7.03e-35 9.44e+01 1.01e+02 -## k__iore_parent_sink 6.14e-05 3.20e-02 2.12e-05 1.78e-04 -## N_parent 2.27e+00 4.23e-18 2.00e+00 2.54e+00 -## sigma 3.52e+00 5.36e-10 2.67e+00 4.36e+00 +## parent_0 9.77e+01 1.05e-35 9.44e+01 1.01e+02 +## k__iore_parent_sink 6.14e-05 2.76e-02 2.21e-05 1.71e-04 +## N_parent 2.27e+00 6.00e-19 2.02e+00 2.53e+00 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 95.70619 8.99e-32 91.87941 99.53298 -## k1 0.02500 5.25e-04 0.01422 0.04394 -## k2 0.00273 6.84e-03 0.00125 0.00597 -## g 0.58835 2.84e-06 0.36595 0.77970 -## sigma 3.90001 6.94e-10 2.96260 4.83741 +## Estimate Pr(>t) Lower Upper +## parent_0 95.70619 NA NA NA +## k__iore_parent_sink 0.00100 NA NA NA +## k1 0.02500 NA NA NA +## k2 0.00273 NA NA NA +## g 0.58835 NA NA NA ## ## ## DTx values: @@ -350,7 +350,7 @@ ## DFOP 55.6 517 253.0 ## ## Representative half-life: -## [1] 201.03</code></pre> +## [1] 201.0316</code></pre> </div> </div> <div id="examples-where-sfo-was-not-selected-for-an-abiotic-study" class="section level1"> @@ -359,12 +359,14 @@ <div id="example-on-page-9-upper-panel" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-9-upper-panel" class="anchor"></a>Example on page 9, upper panel</h2> -<div class="sourceCode" id="cb31"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb31-1" title="1">p9a <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9a"</span>]])</a></code></pre></div> +<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb36-1" title="1">p9a <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9a"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb34"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb34-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p9a)</a></code></pre></div> +<div class="sourceCode" id="cb40"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb40-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p9a)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p9a-1.png" width="700"></p> -<div class="sourceCode" id="cb35"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb35-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p9a)</a></code></pre></div> +<div class="sourceCode" id="cb41"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb41-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p9a)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 839.35238 88.57064 9.93363 @@ -375,24 +377,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 88.1933 3.06e-12 79.9447 96.4419 -## k_parent_sink 0.0409 2.07e-07 0.0324 0.0516 -## sigma 7.2429 3.92e-05 4.4768 10.0090 +## parent_0 88.1933 1.12e-12 79.7671 96.6195 +## k_parent_sink 0.0409 9.50e-08 0.0326 0.0513 ## ## $IORE ## Estimate Pr(>t) Lower Upper -## parent_0 9.89e+01 1.12e-16 9.54e+01 1.02e+02 -## k__iore_parent_sink 1.93e-05 1.13e-01 3.49e-06 1.06e-04 -## N_parent 2.91e+00 1.45e-09 2.50e+00 3.32e+00 -## sigma 2.35e+00 5.31e-05 1.45e+00 3.26e+00 +## parent_0 9.89e+01 5.16e-17 9.50e+01 1.03e+02 +## k__iore_parent_sink 1.93e-05 1.48e-01 2.65e-06 1.40e-04 +## N_parent 2.91e+00 3.74e-09 2.43e+00 3.39e+00 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 9.85e+01 2.54e-20 97.390 99.672 -## k1 1.38e-01 3.52e-05 0.131 0.146 -## k2 6.02e-13 5.00e-01 0.000 Inf -## g 6.52e-01 8.13e-06 0.642 0.661 -## sigma 7.88e-01 6.13e-02 0.481 1.095 +## Estimate Pr(>t) Lower Upper +## parent_0 9.85e+01 1.31e-21 NA NA +## k1 1.38e-01 3.63e-09 NA NA +## k2 6.02e-13 5.00e-01 NA NA +## g 6.52e-01 1.50e-10 NA NA ## ## ## DTx values: @@ -402,23 +401,20 @@ ## DFOP 10.5 2.07e+12 1.15e+12 ## ## Representative half-life: -## [1] 101.43</code></pre> +## [1] 101.4264</code></pre> <p>In this example, the residuals of the SFO indicate a lack of fit of this model, so even if it was an abiotic experiment, the data do not suggest a simple exponential decline.</p> </div> <div id="example-on-page-9-lower-panel" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-9-lower-panel" class="anchor"></a>Example on page 9, lower panel</h2> -<div class="sourceCode" id="cb37"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb37-1" title="1">p9b <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9b"</span>]])</a></code></pre></div> -<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non- -## finite result is doubtful</code></pre> +<div class="sourceCode" id="cb43"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb43-1" title="1">p9b <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9b"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb44"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb44-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p9b)</a></code></pre></div> +<div class="sourceCode" id="cb47"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb47-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p9b)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p9b-1.png" width="700"></p> -<div class="sourceCode" id="cb45"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb45-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p9b)</a></code></pre></div> +<div class="sourceCode" id="cb48"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb48-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p9b)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 35.64867 23.22334 35.64867 @@ -428,25 +424,22 @@ ## ## Parameters: ## $SFO -## Estimate Pr(>t) Lower Upper -## parent_0 94.7123 2.15e-19 93.178 96.2464 -## k_parent_sink 0.0389 4.47e-14 0.037 0.0408 -## sigma 1.5957 1.28e-04 0.932 2.2595 +## Estimate Pr(>t) Lower Upper +## parent_0 94.7123 2.21e-20 93.0673 96.357 +## k_parent_sink 0.0389 1.48e-14 0.0369 0.041 ## ## $IORE ## Estimate Pr(>t) Lower Upper -## parent_0 93.863 2.32e-18 92.4565 95.269 -## k__iore_parent_sink 0.127 1.85e-02 0.0504 0.321 -## N_parent 0.711 1.88e-05 0.4843 0.937 -## sigma 1.288 1.76e-04 0.7456 1.830 +## parent_0 93.863 2.91e-19 92.2996 95.426 +## k__iore_parent_sink 0.127 2.73e-02 0.0457 0.354 +## N_parent 0.711 3.13e-05 0.4605 0.961 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 94.7123 1.61e-16 93.1355 96.2891 -## k1 0.0389 1.43e-06 0.0312 0.0485 -## k2 0.0389 6.67e-03 0.0186 0.0812 -## g 0.7742 NaN NA NA -## sigma 1.5957 2.50e-04 0.9135 2.2779 +## Estimate Pr(>t) Lower Upper +## parent_0 94.7123 NA NA NA +## k1 0.0389 NA NA NA +## k2 0.0389 NA NA NA +## g 0.7742 NA NA NA ## ## ## DTx values: @@ -456,18 +449,20 @@ ## DFOP 17.8 59.2 17.8 ## ## Representative half-life: -## [1] 14.8</code></pre> +## [1] 14.80012</code></pre> <p>Here, mkin gives a longer slow DT50 for the DFOP model (17.8 days) than PestDF (13.5 days). Presumably, this is related to the fact that PestDF gives a negative value for the proportion of the fast degradation which should be between 0 and 1, inclusive. This parameter is called f in PestDF and g in mkin. In mkin, it is restricted to the interval from 0 to 1.</p> </div> <div id="example-on-page-10" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-10" class="anchor"></a>Example on page 10</h2> -<div class="sourceCode" id="cb47"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb47-1" title="1">p10 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p10"</span>]])</a></code></pre></div> +<div class="sourceCode" id="cb50"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb50-1" title="1">p10 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p10"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb50"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb50-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p10)</a></code></pre></div> +<div class="sourceCode" id="cb54"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb54-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p10)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p10-1.png" width="700"></p> -<div class="sourceCode" id="cb51"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb51-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p10)</a></code></pre></div> +<div class="sourceCode" id="cb55"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb55-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p10)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 899.4089 336.4348 899.4089 @@ -478,24 +473,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 101.7315 6.42e-11 91.9259 111.5371 -## k_parent_sink 0.0495 1.70e-07 0.0404 0.0607 -## sigma 8.0152 1.28e-04 4.6813 11.3491 +## parent_0 101.7315 4.95e-11 90.9683 112.4947 +## k_parent_sink 0.0495 3.40e-07 0.0393 0.0624 ## ## $IORE ## Estimate Pr(>t) Lower Upper -## parent_0 96.86 3.32e-12 90.848 102.863 -## k__iore_parent_sink 2.96 7.91e-02 0.687 12.761 -## N_parent 0.00 5.00e-01 -0.372 0.372 -## sigma 4.90 1.77e-04 2.837 6.968 +## parent_0 96.86 2.71e-12 89.884 103.826 +## k__iore_parent_sink 2.96 1.31e-01 0.461 19.020 +## N_parent 0.00 5.00e-01 -0.473 0.473 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 101.7315 1.41e-09 91.6534 111.8097 -## k1 0.0495 6.42e-04 0.0301 0.0814 -## k2 0.0495 1.66e-02 0.0200 0.1225 -## g 0.6634 5.00e-01 0.0000 1.0000 -## sigma 8.0152 2.50e-04 4.5886 11.4418 +## Estimate Pr(>t) Lower Upper +## parent_0 101.7315 NA NA NA +## k1 0.0495 NA NA NA +## k2 0.0495 NA NA NA +## g 0.6634 NA NA NA ## ## ## DTx values: @@ -505,7 +497,7 @@ ## DFOP 14.0 46.5 14.00 ## ## Representative half-life: -## [1] 8.86</code></pre> +## [1] 8.862193</code></pre> <p>Here, a value below N is given for the IORE model, because the data suggests a faster decline towards the end of the experiment, which appears physically rather unlikely in the case of a photolysis study. It seems PestDF does not constrain N to values above zero, thus the slight difference in IORE model parameters between PestDF and mkin.</p> </div> </div> @@ -515,12 +507,14 @@ <div id="example-on-page-11" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-11" class="anchor"></a>Example on page 11</h2> -<div class="sourceCode" id="cb53"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb53-1" title="1">p11 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p11"</span>]])</a></code></pre></div> +<div class="sourceCode" id="cb57"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb57-1" title="1">p11 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p11"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb56"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb56-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p11)</a></code></pre></div> +<div class="sourceCode" id="cb61"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb61-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p11)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p11-1.png" width="700"></p> -<div class="sourceCode" id="cb57"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb57-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p11)</a></code></pre></div> +<div class="sourceCode" id="cb62"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb62-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p11)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 579.6805 204.7932 144.7783 @@ -531,24 +525,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 96.15820 4.83e-13 90.24934 1.02e+02 -## k_parent_sink 0.00321 4.71e-05 0.00222 4.64e-03 -## sigma 6.43473 1.28e-04 3.75822 9.11e+00 +## parent_0 96.15820 1.56e-13 89.91373 1.02e+02 +## k_parent_sink 0.00321 5.27e-05 0.00218 4.71e-03 ## ## $IORE ## Estimate Pr(>t) Lower Upper -## parent_0 1.05e+02 NA 9.90e+01 1.10e+02 -## k__iore_parent_sink 3.11e-17 NA 1.35e-20 7.18e-14 -## N_parent 8.36e+00 NA 6.62e+00 1.01e+01 -## sigma 3.82e+00 NA 2.21e+00 5.44e+00 +## parent_0 1.05e+02 NA 9.80e+01 1.11e+02 +## k__iore_parent_sink 3.11e-17 NA 6.88e-25 1.41e-09 +## N_parent 8.36e+00 NA 4.40e+00 1.23e+01 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 1.05e+02 9.47e-13 99.9990 109.1224 -## k1 4.41e-02 5.95e-03 0.0296 0.0658 -## k2 7.25e-13 5.00e-01 0.0000 Inf -## g 3.22e-01 1.45e-03 0.2814 0.3650 -## sigma 3.22e+00 3.52e-04 1.8410 4.5906 +## Estimate Pr(>t) Lower Upper +## parent_0 1.05e+02 7.50e-13 NA NA +## k1 4.41e-02 3.34e-02 NA NA +## k2 7.25e-13 5.00e-01 NA NA +## g 3.22e-01 7.87e-03 NA NA ## ## ## DTx values: @@ -569,14 +560,14 @@ <div id="example-on-page-12-upper-panel" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-12-upper-panel" class="anchor"></a>Example on page 12, upper panel</h2> -<div class="sourceCode" id="cb59"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb59-1" title="1">p12a <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p12a"</span>]])</a></code></pre></div> -<pre><code>## Warning in summary.mkinfit(x): Could not calculate correlation; no -## covariance matrix</code></pre> +<div class="sourceCode" id="cb64"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb64-1" title="1">p12a <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p12a"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb63"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb63-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p12a)</a></code></pre></div> +<div class="sourceCode" id="cb68"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb68-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p12a)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p12a-1.png" width="700"></p> -<div class="sourceCode" id="cb64"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb64-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p12a)</a></code></pre></div> +<div class="sourceCode" id="cb69"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb69-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p12a)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 695.4440 220.0685 695.4440 @@ -587,24 +578,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 100.521 8.75e-12 92.461 108.581 -## k_parent_sink 0.124 3.61e-08 0.104 0.148 -## sigma 7.048 1.28e-04 4.116 9.980 +## parent_0 100.521 5.61e-12 91.687 109.355 +## k_parent_sink 0.124 7.24e-08 0.102 0.152 ## ## $IORE -## Estimate Pr(>t) Lower Upper -## parent_0 96.823 NA NA NA -## k__iore_parent_sink 2.436 NA NA NA -## N_parent 0.263 NA NA NA -## sigma 3.965 NA NA NA +## Estimate Pr(>t) Lower Upper +## parent_0 96.823 1.24e-13 91.5691 102.078 +## k__iore_parent_sink 2.436 3.89e-02 0.7854 7.556 +## N_parent 0.263 3.64e-02 -0.0288 0.554 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 100.521 2.74e-10 92.2366 108.805 -## k1 0.124 5.74e-06 0.0958 0.161 -## k2 0.124 6.61e-02 0.0319 0.484 -## g 0.877 5.00e-01 0.0000 1.000 -## sigma 7.048 2.50e-04 4.0349 10.061 +## Estimate Pr(>t) Lower Upper +## parent_0 100.521 NA NA NA +## k1 0.124 NA NA NA +## k2 0.124 NA NA NA +## g 0.877 NA NA NA ## ## ## DTx values: @@ -614,25 +602,19 @@ ## DFOP 5.58 18.5 5.58 ## ## Representative half-life: -## [1] 3.99</code></pre> +## [1] 3.987308</code></pre> </div> <div id="example-on-page-12-lower-panel" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-12-lower-panel" class="anchor"></a>Example on page 12, lower panel</h2> -<div class="sourceCode" id="cb66"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb66-1" title="1">p12b <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p12b"</span>]])</a></code></pre></div> -<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in qt(alpha/2, rdf): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in qt(1 - alpha/2, rdf): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in pt(abs(tval), rdf, lower.tail = FALSE): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non- -## finite result is doubtful</code></pre> +<div class="sourceCode" id="cb71"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb71-1" title="1">p12b <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p12b"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb76"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb76-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p12b)</a></code></pre></div> +<div class="sourceCode" id="cb75"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb75-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p12b)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p12b-1.png" width="700"></p> -<div class="sourceCode" id="cb77"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb77-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p12b)</a></code></pre></div> +<div class="sourceCode" id="cb76"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb76-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p12b)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 58.90242 19.06353 58.90242 @@ -642,25 +624,22 @@ ## ## Parameters: ## $SFO -## Estimate Pr(>t) Lower Upper -## parent_0 97.6840 0.00039 85.9388 109.4292 -## k_parent_sink 0.0589 0.00261 0.0431 0.0805 -## sigma 3.4323 0.04356 -1.2377 8.1023 +## Estimate Pr(>t) Lower Upper +## parent_0 97.6840 5.36e-05 86.3205 109.0475 +## k_parent_sink 0.0589 9.87e-04 0.0432 0.0803 ## ## $IORE -## Estimate Pr(>t) Lower Upper -## parent_0 95.523 0.0055 74.539157 116.51 -## k__iore_parent_sink 0.333 0.1433 0.000717 154.57 -## N_parent 0.568 0.0677 -0.989464 2.13 -## sigma 1.953 0.0975 -5.893100 9.80 +## Estimate Pr(>t) Lower Upper +## parent_0 95.523 0.000386 84.0963 106.95 +## k__iore_parent_sink 0.333 0.170886 0.0103 10.80 +## N_parent 0.568 0.054881 -0.3161 1.45 ## ## $DFOP ## Estimate Pr(>t) Lower Upper -## parent_0 97.6840 NaN NaN NaN -## k1 0.0589 NaN NA NA -## k2 0.0589 NaN NA NA -## g 0.6902 NaN NA NA -## sigma 3.4323 NaN NaN NaN +## parent_0 97.6840 NA NA NA +## k1 0.0589 NA NA NA +## k2 0.0589 NA NA NA +## g 0.6902 NA NA NA ## ## ## DTx values: @@ -670,21 +649,19 @@ ## DFOP 11.8 39.1 11.80 ## ## Representative half-life: -## [1] 9.46</code></pre> +## [1] 9.461912</code></pre> </div> <div id="example-on-page-13" class="section level2"> <h2 class="hasAnchor"> <a href="#example-on-page-13" class="anchor"></a>Example on page 13</h2> -<div class="sourceCode" id="cb79"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb79-1" title="1">p13 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p13"</span>]])</a></code></pre></div> -<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non- -## finite result is doubtful</code></pre> +<div class="sourceCode" id="cb78"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb78-1" title="1">p13 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p13"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb85"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb85-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p13)</a></code></pre></div> +<div class="sourceCode" id="cb82"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb82-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p13)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p13-1.png" width="700"></p> -<div class="sourceCode" id="cb86"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb86-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p13)</a></code></pre></div> +<div class="sourceCode" id="cb83"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb83-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p13)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 174.5971 142.3951 174.5971 @@ -694,25 +671,22 @@ ## ## Parameters: ## $SFO -## Estimate Pr(>t) Lower Upper -## parent_0 92.73500 5.99e-17 89.61936 95.85065 -## k_parent_sink 0.00258 2.42e-09 0.00223 0.00299 -## sigma 3.41172 7.07e-05 2.05455 4.76888 +## Estimate Pr(>t) Lower Upper +## parent_0 92.73500 1.45e-17 89.3891 96.08094 +## k_parent_sink 0.00258 2.63e-09 0.0022 0.00303 ## ## $IORE -## Estimate Pr(>t) Lower Upper -## parent_0 91.6016 6.34e-16 88.53086 94.672 -## k__iore_parent_sink 0.0396 2.36e-01 0.00207 0.759 -## N_parent 0.3541 1.46e-01 -0.35153 1.060 -## sigma 3.0811 9.64e-05 1.84296 4.319 +## Estimate Pr(>t) Lower Upper +## parent_0 91.6016 2.93e-16 88.08711 95.12 +## k__iore_parent_sink 0.0396 2.81e-01 0.00102 1.53 +## N_parent 0.3541 1.97e-01 -0.51943 1.23 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 92.73500 9.25e-15 8.95e+01 9.59e+01 -## k1 0.00258 4.28e-01 1.70e-08 3.92e+02 -## k2 0.00258 3.69e-08 2.20e-03 3.03e-03 -## g 0.00442 5.00e-01 NA NA -## sigma 3.41172 1.35e-04 2.02e+00 4.80e+00 +## Estimate Pr(>t) Lower Upper +## parent_0 92.73500 NA NA NA +## k1 0.00258 NA NA NA +## k2 0.00258 NA NA NA +## g 0.00442 NA NA NA ## ## ## DTx values: @@ -722,22 +696,20 @@ ## DFOP 269 892 269 ## ## Representative half-life: -## [1] 168.51</code></pre> +## [1] 168.5123</code></pre> </div> </div> <div id="dt50-not-observed-in-the-study-and-dfop-problems-in-pestdf" class="section level1"> <h1 class="hasAnchor"> <a href="#dt50-not-observed-in-the-study-and-dfop-problems-in-pestdf" class="anchor"></a>DT50 not observed in the study and DFOP problems in PestDF</h1> -<div class="sourceCode" id="cb88"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb88-1" title="1">p14 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p14"</span>]])</a></code></pre></div> -<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non- -## finite result is doubtful</code></pre> +<div class="sourceCode" id="cb85"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb85-1" title="1">p14 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p14"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb94"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb94-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p14)</a></code></pre></div> +<div class="sourceCode" id="cb89"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb89-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p14)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p14-1.png" width="700"></p> -<div class="sourceCode" id="cb95"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb95-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p14)</a></code></pre></div> +<div class="sourceCode" id="cb90"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb90-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p14)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 48.43249 28.67746 27.26248 @@ -748,24 +720,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 99.47124 2.06e-30 98.42254 1.01e+02 -## k_parent_sink 0.00279 3.75e-15 0.00256 3.04e-03 -## sigma 1.55616 3.81e-06 1.03704 2.08e+00 +## parent_0 99.47124 1.71e-31 98.37313 1.01e+02 +## k_parent_sink 0.00279 2.22e-15 0.00255 3.05e-03 ## ## $IORE -## Estimate Pr(>t) Lower Upper -## parent_0 1.00e+02 NA NaN NaN -## k__iore_parent_sink 9.44e-08 NA NaN NaN -## N_parent 3.31e+00 NA NaN NaN -## sigma 1.20e+00 NA 0.796 1.6 +## Estimate Pr(>t) Lower Upper +## parent_0 1.00e+02 NA 9.93e+01 1.01e+02 +## k__iore_parent_sink 9.44e-08 NA 6.81e-11 1.31e-04 +## N_parent 3.31e+00 NA 1.69e+00 4.93e+00 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 1.00e+02 2.96e-28 99.40280 101.2768 -## k1 9.53e-03 1.20e-01 0.00638 0.0143 -## k2 7.29e-12 5.00e-01 0.00000 Inf -## g 3.98e-01 2.19e-01 0.30481 0.4998 -## sigma 1.17e+00 7.68e-06 0.77406 1.5610 +## Estimate Pr(>t) Lower Upper +## parent_0 1.00e+02 2.70e-28 NA NA +## k1 9.53e-03 3.39e-01 NA NA +## k2 7.29e-12 5.00e-01 NA NA +## g 3.98e-01 3.92e-01 NA NA ## ## ## DTx values: @@ -775,23 +744,20 @@ ## DFOP 2.54e+10 2.46e+11 9.51e+10 ## ## Representative half-life: -## [1] 6697.44</code></pre> +## [1] 6697.437</code></pre> <p>The slower rate constant reported by PestDF is negative, which is not physically realistic, and not possible in mkin. The other fits give the same results in mkin and PestDF.</p> </div> <div id="n-is-less-than-1-and-dfop-fraction-parameter-is-below-zero" class="section level1"> <h1 class="hasAnchor"> <a href="#n-is-less-than-1-and-dfop-fraction-parameter-is-below-zero" class="anchor"></a>N is less than 1 and DFOP fraction parameter is below zero</h1> -<div class="sourceCode" id="cb97"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb97-1" title="1">p15a <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15a"</span>]])</a></code></pre></div> -<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non- -## finite result is doubtful</code></pre> +<div class="sourceCode" id="cb92"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb92-1" title="1">p15a <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15a"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb104"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb104-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p15a)</a></code></pre></div> +<div class="sourceCode" id="cb96"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb96-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p15a)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p15a-1.png" width="700"></p> -<div class="sourceCode" id="cb105"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb105-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p15a)</a></code></pre></div> +<div class="sourceCode" id="cb97"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb97-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p15a)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 245.5248 135.0132 245.5248 @@ -801,25 +767,22 @@ ## ## Parameters: ## $SFO -## Estimate Pr(>t) Lower Upper -## parent_0 97.96751 2.00e-15 94.32049 101.615 -## k_parent_sink 0.00952 4.93e-09 0.00824 0.011 -## sigma 4.18778 1.28e-04 2.44588 5.930 +## Estimate Pr(>t) Lower Upper +## parent_0 97.96751 4.98e-16 94.03829 101.8967 +## k_parent_sink 0.00952 5.24e-09 0.00813 0.0112 ## ## $IORE -## Estimate Pr(>t) Lower Upper -## parent_0 95.874 2.94e-15 92.937 98.811 -## k__iore_parent_sink 0.629 2.11e-01 0.044 8.982 -## N_parent 0.000 5.00e-01 -0.642 0.642 -## sigma 3.105 1.78e-04 1.795 4.416 +## Estimate Pr(>t) Lower Upper +## parent_0 95.874 8.30e-16 92.5802 99.167 +## k__iore_parent_sink 0.629 2.39e-01 0.0316 12.519 +## N_parent 0.000 5.00e-01 -0.7219 0.722 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 97.96752 2.85e-13 94.21914 101.7159 -## k1 0.00952 6.80e-02 0.00277 0.0327 -## k2 0.00952 3.82e-06 0.00902 0.0100 -## g 0.17247 NaN NA NA -## sigma 4.18778 2.50e-04 2.39747 5.9781 +## Estimate Pr(>t) Lower Upper +## parent_0 97.96752 NA NA NA +## k1 0.00952 NA NA NA +## k2 0.00952 NA NA NA +## g 0.17247 NA NA NA ## ## ## DTx values: @@ -829,17 +792,15 @@ ## DFOP 72.8 242 72.8 ## ## Representative half-life: -## [1] 41.33</code></pre> -<div class="sourceCode" id="cb107"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb107-1" title="1">p15b <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15b"</span>]])</a></code></pre></div> -<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre> -<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non- -## finite result is doubtful</code></pre> +## [1] 41.32749</code></pre> +<div class="sourceCode" id="cb99"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb99-1" title="1">p15b <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15b"</span>]])</a></code></pre></div> +<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix; +## singular system.</code></pre> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The half-life obtained from the IORE model may be used</code></pre> -<div class="sourceCode" id="cb113"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb113-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p15b)</a></code></pre></div> +<div class="sourceCode" id="cb103"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb103-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p15b)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p15b-1.png" width="700"></p> -<div class="sourceCode" id="cb114"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb114-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p15b)</a></code></pre></div> +<div class="sourceCode" id="cb104"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb104-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p15b)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 106.91629 68.55574 106.91629 @@ -850,24 +811,21 @@ ## Parameters: ## $SFO ## Estimate Pr(>t) Lower Upper -## parent_0 1.01e+02 3.06e-17 98.31594 1.03e+02 -## k_parent_sink 4.86e-03 2.48e-10 0.00435 5.42e-03 -## sigma 2.76e+00 1.28e-04 1.61402 3.91e+00 +## parent_0 1.01e+02 4.99e-18 98.12761 1.04e+02 +## k_parent_sink 4.86e-03 1.76e-10 0.00432 5.46e-03 ## ## $IORE -## Estimate Pr(>t) Lower Upper -## parent_0 99.83 1.81e-16 97.51349 102.14 -## k__iore_parent_sink 0.38 3.22e-01 0.00352 41.05 -## N_parent 0.00 5.00e-01 -1.07695 1.08 -## sigma 2.21 2.57e-04 1.23245 3.19 +## Estimate Pr(>t) Lower Upper +## parent_0 99.83 4.49e-17 97.19753 102.5 +## k__iore_parent_sink 0.38 3.41e-01 0.00206 70.0 +## N_parent 0.00 5.00e-01 -1.20105 1.2 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 1.01e+02 NA 9.82e+01 1.04e+02 -## k1 4.86e-03 NA 6.75e-04 3.49e-02 -## k2 4.86e-03 NA 3.37e-03 6.99e-03 -## g 1.50e-01 NA NA NA -## sigma 2.76e+00 NA 1.58e+00 3.94e+00 +## Estimate Pr(>t) Lower Upper +## parent_0 1.01e+02 NA NA NA +## k1 4.86e-03 NA NA NA +## k2 4.86e-03 NA NA NA +## g 1.50e-01 NA NA NA ## ## ## DTx values: @@ -877,20 +835,20 @@ ## DFOP 143 474 143.0 ## ## Representative half-life: -## [1] 71.18</code></pre> +## [1] 71.18014</code></pre> <p>In mkin, only the IORE fit is affected (deemed unrealistic), as the fraction parameter of the DFOP model is restricted to the interval between 0 and 1 in mkin. The SFO fits give the same results for both mkin and PestDF.</p> </div> <div id="the-dfop-fraction-parameter-is-greater-than-1" class="section level1"> <h1 class="hasAnchor"> <a href="#the-dfop-fraction-parameter-is-greater-than-1" class="anchor"></a>The DFOP fraction parameter is greater than 1</h1> -<div class="sourceCode" id="cb116"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb116-1" title="1">p16 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p16"</span>]])</a></code></pre></div> +<div class="sourceCode" id="cb106"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb106-1" title="1">p16 <-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p16"</span>]])</a></code></pre></div> <pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre> <pre><code>## The representative half-life of the IORE model is longer than the one corresponding</code></pre> <pre><code>## to the terminal degradation rate found with the DFOP model.</code></pre> <pre><code>## The representative half-life obtained from the DFOP model may be used</code></pre> -<div class="sourceCode" id="cb121"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb121-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p16)</a></code></pre></div> +<div class="sourceCode" id="cb111"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb111-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p16)</a></code></pre></div> <p><img src="NAFTA_examples_files/figure-html/p16-1.png" width="700"></p> -<div class="sourceCode" id="cb122"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb122-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p16)</a></code></pre></div> +<div class="sourceCode" id="cb112"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb112-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p16)</a></code></pre></div> <pre><code>## Sums of squares: ## SFO IORE DFOP ## 3831.804 2062.008 1550.980 @@ -900,25 +858,22 @@ ## ## Parameters: ## $SFO -## Estimate Pr(>t) Lower Upper -## parent_0 71.953 2.33e-13 60.509 83.40 -## k_parent_sink 0.159 4.86e-05 0.102 0.25 -## sigma 11.302 1.25e-08 8.308 14.30 +## Estimate Pr(>t) Lower Upper +## parent_0 71.953 3.92e-14 61.087 82.819 +## k_parent_sink 0.159 2.27e-06 0.111 0.229 ## ## $IORE ## Estimate Pr(>t) Lower Upper -## parent_0 8.74e+01 2.48e-16 7.72e+01 97.52972 -## k__iore_parent_sink 4.55e-04 2.16e-01 3.48e-05 0.00595 -## N_parent 2.70e+00 1.21e-08 1.99e+00 3.40046 -## sigma 8.29e+00 1.61e-08 6.09e+00 10.49062 +## parent_0 8.74e+01 1.74e-16 7.71e+01 97.70701 +## k__iore_parent_sink 4.55e-04 2.28e-01 3.01e-05 0.00688 +## N_parent 2.70e+00 1.87e-08 1.97e+00 3.42611 ## ## $DFOP -## Estimate Pr(>t) Lower Upper -## parent_0 88.5333 7.40e-18 79.9836 97.083 -## k1 18.5561 5.00e-01 0.0000 Inf -## k2 0.0776 1.41e-05 0.0518 0.116 -## g 0.4733 1.41e-09 0.3674 0.582 -## sigma 7.1902 2.11e-08 5.2785 9.102 +## Estimate Pr(>t) Lower Upper +## parent_0 88.5333 NA 79.3673 97.699 +## k1 18.5561 NA 0.0000 Inf +## k2 0.0776 NA 0.0471 0.128 +## g 0.4733 NA 0.3138 0.639 ## ## ## DTx values: @@ -928,7 +883,7 @@ ## DFOP 0.67 21.4 8.93 ## ## Representative half-life: -## [1] 8.93</code></pre> +## [1] 8.932679</code></pre> <p>In PestDF, the DFOP fit seems to have stuck in a local minimum, as mkin finds a solution with a much lower <span class="math inline">\(\chi^2\)</span> error level. As the half-life from the slower rate constant of the DFOP model is larger than the IORE derived half-life, the NAFTA recommendation obtained with mkin is to use the DFOP representative half-life of 8.9 days.</p> </div> <div id="conclusions" class="section level1"> diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p13-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p13-1.png Binary files differindex d0f89858..4cf9c8ea 100644 --- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p13-1.png +++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p13-1.png diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p5a-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p5a-1.png Binary files differindex 596a33b2..c1f61bab 100644 --- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p5a-1.png +++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p5a-1.png diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p8-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p8-1.png Binary files differindex fa8621e7..2747b2d6 100644 --- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p8-1.png +++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p8-1.png diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p9a-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p9a-1.png Binary files differindex aac3600b..32b3bf29 100644 --- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p9a-1.png +++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p9a-1.png diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p9b-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p9b-1.png Binary files differindex cb52aecd..8b8ea5aa 100644 --- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p9b-1.png +++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p9b-1.png diff --git a/docs/articles/web_only/benchmarks.html b/docs/articles/web_only/benchmarks.html index 005834cc..eacecc2f 100644 --- a/docs/articles/web_only/benchmarks.html +++ b/docs/articles/web_only/benchmarks.html @@ -30,7 +30,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> @@ -88,7 +88,7 @@ <h1>Benchmark timings for mkin on various systems</h1> <h4 class="author">Johannes Ranke</h4> - <h4 class="date">2019-07-04</h4> + <h4 class="date">2019-07-05</h4> <div class="hidden name"><code>benchmarks.Rmd</code></div> @@ -116,8 +116,17 @@ <div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb2-1" title="1"><span class="co"># Parent only</span></a> <a class="sourceLine" id="cb2-2" title="2">t1 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>, <span class="st">"HS"</span>), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_C, FOCUS_<span class="dv">2006</span>_D)))[[<span class="st">"elapsed"</span>]]</a> <a class="sourceLine" id="cb2-3" title="3">t2 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>, <span class="st">"HS"</span>), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_C, FOCUS_<span class="dv">2006</span>_D), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[[<span class="st">"elapsed"</span>]]</a></code></pre></div> -<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): Optimisation did not converge: -## iteration limit reached without convergence (10)</code></pre> +<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): Optimisation by method Port did not converge: +## false convergence (8) + +## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): Optimisation by method Port did not converge: +## false convergence (8) + +## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): Optimisation by method Port did not converge: +## false convergence (8) + +## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): Optimisation by method Port did not converge: +## false convergence (8)</code></pre> <div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" title="1"><span class="co"># One metabolite</span></a> <a class="sourceLine" id="cb4-2" title="2">SFO_SFO <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(</a> <a class="sourceLine" id="cb4-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"m1"</span>),</a> @@ -131,149 +140,124 @@ <a class="sourceLine" id="cb8-2" title="2"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),</a> <a class="sourceLine" id="cb8-3" title="3"> <span class="dt">m1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1">t3 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_D)))[[<span class="st">"elapsed"</span>]]</a></code></pre></div> -<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): -## Observations with value of zero were removed from the data</code></pre> -<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): -## Observations with value of zero were removed from the data - -## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): -## Observations with value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1">t4 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/subset">subset</a></span>(FOCUS_<span class="dv">2006</span>_D, value <span class="op">!=</span><span class="st"> </span><span class="dv">0</span>)), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[[<span class="st">"elapsed"</span>]]</a> -<a class="sourceLine" id="cb13-2" title="2">t5 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_D), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[[<span class="st">"elapsed"</span>]]</a></code></pre></div> -<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): -## Observations with value of zero were removed from the data - -## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): -## Observations with value of zero were removed from the data - -## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): -## Observations with value of zero were removed from the data</code></pre> -<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb15-1" title="1"><span class="co"># Two metabolites, synthetic data</span></a> -<a class="sourceLine" id="cb15-2" title="2">m_synth_SFO_lin <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M1"</span>),</a> -<a class="sourceLine" id="cb15-3" title="3"> <span class="dt">M1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M2"</span>),</a> -<a class="sourceLine" id="cb15-4" title="4"> <span class="dt">M2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> -<a class="sourceLine" id="cb15-5" title="5"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> -<a class="sourceLine" id="cb15-6" title="6"></a> -<a class="sourceLine" id="cb15-7" title="7">m_synth_DFOP_par <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"DFOP"</span>, <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"M1"</span>, <span class="st">"M2"</span>)),</a> -<a class="sourceLine" id="cb15-8" title="8"> <span class="dt">M1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> -<a class="sourceLine" id="cb15-9" title="9"> <span class="dt">M2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> -<a class="sourceLine" id="cb15-10" title="10"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> -<a class="sourceLine" id="cb15-11" title="11"></a> -<a class="sourceLine" id="cb15-12" title="12">SFO_lin_a <-<span class="st"> </span>synthetic_data_for_UBA_<span class="dv">2014</span>[[<span class="dv">1</span>]]<span class="op">$</span>data</a> -<a class="sourceLine" id="cb15-13" title="13"></a> -<a class="sourceLine" id="cb15-14" title="14">DFOP_par_c <-<span class="st"> </span>synthetic_data_for_UBA_<span class="dv">2014</span>[[<span class="dv">12</span>]]<span class="op">$</span>data</a> -<a class="sourceLine" id="cb15-15" title="15"></a> -<a class="sourceLine" id="cb15-16" title="16">t6 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a)))[<span class="st">"elapsed"</span>]</a> -<a class="sourceLine" id="cb15-17" title="17">t7 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c)))[<span class="st">"elapsed"</span>]</a> -<a class="sourceLine" id="cb15-18" title="18"></a> -<a class="sourceLine" id="cb15-19" title="19">t8 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[<span class="st">"elapsed"</span>]</a> -<a class="sourceLine" id="cb15-20" title="20">t9 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[<span class="st">"elapsed"</span>]</a> -<a class="sourceLine" id="cb15-21" title="21"></a> -<a class="sourceLine" id="cb15-22" title="22">t10 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[<span class="st">"elapsed"</span>]</a> -<a class="sourceLine" id="cb15-23" title="23">t11 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[<span class="st">"elapsed"</span>]</a> -<a class="sourceLine" id="cb15-24" title="24"></a> -<a class="sourceLine" id="cb15-25" title="25">mkin_benchmarks[system_string, <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/paste">paste0</a></span>(<span class="st">"t"</span>, <span class="dv">1</span><span class="op">:</span><span class="dv">11</span>)] <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11)</a> -<a class="sourceLine" id="cb15-26" title="26">mkin_benchmarks</a></code></pre></div> +<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1">t3 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_D)))[[<span class="st">"elapsed"</span>]]</a> +<a class="sourceLine" id="cb10-2" title="2">t4 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/subset">subset</a></span>(FOCUS_<span class="dv">2006</span>_D, value <span class="op">!=</span><span class="st"> </span><span class="dv">0</span>)), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[[<span class="st">"elapsed"</span>]]</a> +<a class="sourceLine" id="cb10-3" title="3">t5 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_D), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[[<span class="st">"elapsed"</span>]]</a> +<a class="sourceLine" id="cb10-4" title="4"></a> +<a class="sourceLine" id="cb10-5" title="5"><span class="co"># Two metabolites, synthetic data</span></a> +<a class="sourceLine" id="cb10-6" title="6">m_synth_SFO_lin <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M1"</span>),</a> +<a class="sourceLine" id="cb10-7" title="7"> <span class="dt">M1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M2"</span>),</a> +<a class="sourceLine" id="cb10-8" title="8"> <span class="dt">M2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> +<a class="sourceLine" id="cb10-9" title="9"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb10-10" title="10"></a> +<a class="sourceLine" id="cb10-11" title="11">m_synth_DFOP_par <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"DFOP"</span>, <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"M1"</span>, <span class="st">"M2"</span>)),</a> +<a class="sourceLine" id="cb10-12" title="12"> <span class="dt">M1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> +<a class="sourceLine" id="cb10-13" title="13"> <span class="dt">M2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a> +<a class="sourceLine" id="cb10-14" title="14"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a> +<a class="sourceLine" id="cb10-15" title="15"></a> +<a class="sourceLine" id="cb10-16" title="16">SFO_lin_a <-<span class="st"> </span>synthetic_data_for_UBA_<span class="dv">2014</span>[[<span class="dv">1</span>]]<span class="op">$</span>data</a> +<a class="sourceLine" id="cb10-17" title="17"></a> +<a class="sourceLine" id="cb10-18" title="18">DFOP_par_c <-<span class="st"> </span>synthetic_data_for_UBA_<span class="dv">2014</span>[[<span class="dv">12</span>]]<span class="op">$</span>data</a> +<a class="sourceLine" id="cb10-19" title="19"></a> +<a class="sourceLine" id="cb10-20" title="20">t6 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a)))[<span class="st">"elapsed"</span>]</a> +<a class="sourceLine" id="cb10-21" title="21">t7 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c)))[<span class="st">"elapsed"</span>]</a> +<a class="sourceLine" id="cb10-22" title="22"></a> +<a class="sourceLine" id="cb10-23" title="23">t8 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[<span class="st">"elapsed"</span>]</a></code></pre></div> +<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): Optimisation by method Port did not converge: +## false convergence (8)</code></pre> +<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb12-1" title="1">t9 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[<span class="st">"elapsed"</span>]</a> +<a class="sourceLine" id="cb12-2" title="2"></a> +<a class="sourceLine" id="cb12-3" title="3">t10 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[<span class="st">"elapsed"</span>]</a> +<a class="sourceLine" id="cb12-4" title="4">t11 <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[<span class="st">"elapsed"</span>]</a></code></pre></div> +<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...): Optimisation by method Port did not converge: +## false convergence (8)</code></pre> +<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1">mkin_benchmarks[system_string, <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/paste">paste0</a></span>(<span class="st">"t"</span>, <span class="dv">1</span><span class="op">:</span><span class="dv">11</span>)] <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11)</a> +<a class="sourceLine" id="cb14-2" title="2">mkin_benchmarks</a></code></pre></div> <pre><code>## CPU ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 AMD Ryzen 7 1700 Eight-Core Processor ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 AMD Ryzen 7 1700 Eight-Core Processor ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 AMD Ryzen 7 1700 Eight-Core Processor ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 AMD Ryzen 7 1700 Eight-Core Processor ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 AMD Ryzen 7 1700 Eight-Core Processor -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 AMD Ryzen 7 1700 Eight-Core Processor ## OS ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 Linux ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 Linux ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 Linux ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 Linux ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 Linux -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 Linux ## mkin ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 0.9.48.1 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 0.9.49.1 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 0.9.49.2 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 0.9.49.3 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 0.9.49.4 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 0.9.49.5 ## t1 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 3.610 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 3.107 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 8.184 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 7.064 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.296 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 5.936 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 5.843 ## t2 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 11.019 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 10.105 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 22.889 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 12.558 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 21.239 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 20.545 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 35.863 ## t3 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 3.764 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 3.415 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 4.649 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 4.786 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 4.510 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 4.446 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 4.417 ## t4 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 14.347 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 13.228 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 13.789 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 8.461 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 13.805 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 15.335 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 30.484 -## t5 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 9.495 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 6.395 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 5.675 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.386 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 6.002 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 10.307 +## t5 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 8.511 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 6.395 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 5.675 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.386 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 6.002 ## t6 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 2.623 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 2.368 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 2.542 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 2.723 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 2.643 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 2.635 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 2.538 ## t7 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 4.587 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 4.12 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 4.128 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 4.478 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 4.374 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 4.259 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 4.196 ## t8 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 7.525 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 6.357 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 4.632 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 4.862 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.02 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 4.737 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 7.853 ## t9 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 16.621 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 15.42 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 8.171 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 7.618 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 11.124 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 7.763 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 15.643 ## t10 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 8.576 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 7.868 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 3.676 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 3.579 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 5.388 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 3.427 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 7.733 ## t11 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 31.267 +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 28.858 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 5.636 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 5.574 ## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.365 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 5.626 -## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.5 10.511</code></pre> -<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb17-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/save">save</a></span>(mkin_benchmarks, <span class="dt">file =</span> <span class="st">"~/git/mkin/vignettes/mkin_benchmarks.rda"</span>)</a></code></pre></div> +## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 5.626</code></pre> +<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/save">save</a></span>(mkin_benchmarks, <span class="dt">file =</span> <span class="st">"~/git/mkin/vignettes/mkin_benchmarks.rda"</span>)</a></code></pre></div> </div> </div> diff --git a/docs/articles/web_only/compiled_models.html b/docs/articles/web_only/compiled_models.html index 3fc54cfa..ca883f17 100644 --- a/docs/articles/web_only/compiled_models.html +++ b/docs/articles/web_only/compiled_models.html @@ -30,7 +30,7 @@ </button> <span class="navbar-brand"> <a class="navbar-link" href="../../index.html">mkin</a> - <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.5</span> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span> </span> </div> @@ -88,7 +88,7 @@ <h1>Performance benefit by using compiled model definitions in mkin</h1> <h4 class="author">Johannes Ranke</h4> - <h4 class="date">2019-07-04</h4> + <h4 class="date">2019-07-05</h4> <div class="hidden name"><code>compiled_models.Rmd</code></div> @@ -128,99 +128,45 @@ <a class="sourceLine" id="cb5-15" title="15"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(<span class="st">"R package rbenchmark is not available"</span>)</a> <a class="sourceLine" id="cb5-16" title="16">}</a></code></pre></div> <pre><code>## Lade nötiges Paket: rbenchmark</code></pre> -<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", -## use_compiled = FALSE, : Observations with value of zero were removed from -## the data</code></pre> -<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "eigen", quiet = -## TRUE): Observations with value of zero were removed from the data</code></pre> -<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", quiet -## = TRUE): Observations with value of zero were removed from the data</code></pre> -<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", -## use_compiled = FALSE, : Observations with value of zero were removed from -## the data - -## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", -## use_compiled = FALSE, : Observations with value of zero were removed from -## the data - -## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", -## use_compiled = FALSE, : Observations with value of zero were removed from -## the data</code></pre> -<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "eigen", quiet = -## TRUE): Observations with value of zero were removed from the data - -## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "eigen", quiet = -## TRUE): Observations with value of zero were removed from the data - -## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "eigen", quiet = -## TRUE): Observations with value of zero were removed from the data</code></pre> -<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", quiet -## = TRUE): Observations with value of zero were removed from the data - -## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", quiet -## = TRUE): Observations with value of zero were removed from the data - -## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", quiet -## = TRUE): Observations with value of zero were removed from the data</code></pre> <pre><code>## test replications elapsed relative user.self sys.self -## 3 deSolve, compiled 3 3.061 1.000 3.059 0 -## 1 deSolve, not compiled 3 28.502 9.311 28.487 0 -## 2 Eigenvalue based 3 4.321 1.412 4.318 0 +## 3 deSolve, compiled 3 2.147 1.000 2.145 0 +## 1 deSolve, not compiled 3 12.653 5.893 12.646 0 +## 2 Eigenvalue based 3 2.690 1.253 2.688 0 ## user.child sys.child ## 3 0 0 ## 1 0 0 ## 2 0 0</code></pre> -<p>We see that using the compiled model is by a factor of around 9 faster than using the R version with the default ode solver, and it is even faster than the Eigenvalue based solution implemented in R which does not need iterative solution of the ODEs.</p> +<p>We see that using the compiled model is by a factor of around 6 faster than using the R version with the default ode solver, and it is even faster than the Eigenvalue based solution implemented in R which does not need iterative solution of the ODEs.</p> </div> <div id="model-that-can-not-be-solved-with-eigenvalues" class="section level2"> <h2 class="hasAnchor"> <a href="#model-that-can-not-be-solved-with-eigenvalues" class="anchor"></a>Model that can not be solved with Eigenvalues</h2> <p>This evaluation is also taken from the example section of mkinfit.</p> -<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1"><span class="cf">if</span> (<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/library">require</a></span>(rbenchmark)) {</a> -<a class="sourceLine" id="cb14-2" title="2"> FOMC_SFO <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(</a> -<a class="sourceLine" id="cb14-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),</a> -<a class="sourceLine" id="cb14-4" title="4"> <span class="dt">m1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>( <span class="st">"SFO"</span>))</a> -<a class="sourceLine" id="cb14-5" title="5"></a> -<a class="sourceLine" id="cb14-6" title="6"> b<span class="fl">.2</span> <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/rbenchmark/topics/benchmark">benchmark</a></span>(</a> -<a class="sourceLine" id="cb14-7" title="7"> <span class="st">"deSolve, not compiled"</span> =<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(FOMC_SFO, FOCUS_<span class="dv">2006</span>_D,</a> -<a class="sourceLine" id="cb14-8" title="8"> <span class="dt">use_compiled =</span> <span class="ot">FALSE</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>),</a> -<a class="sourceLine" id="cb14-9" title="9"> <span class="st">"deSolve, compiled"</span> =<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(FOMC_SFO, FOCUS_<span class="dv">2006</span>_D, <span class="dt">quiet =</span> <span class="ot">TRUE</span>),</a> -<a class="sourceLine" id="cb14-10" title="10"> <span class="dt">replications =</span> <span class="dv">3</span>)</a> -<a class="sourceLine" id="cb14-11" title="11"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(b<span class="fl">.2</span>)</a> -<a class="sourceLine" id="cb14-12" title="12"> factor_FOMC_SFO <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/Round">round</a></span>(b<span class="fl">.2</span>[<span class="st">"1"</span>, <span class="st">"relative"</span>])</a> -<a class="sourceLine" id="cb14-13" title="13">} <span class="cf">else</span> {</a> -<a class="sourceLine" id="cb14-14" title="14"> factor_FOMC_SFO <-<span class="st"> </span><span class="ot">NA</span></a> -<a class="sourceLine" id="cb14-15" title="15"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(<span class="st">"R package benchmark is not available"</span>)</a> -<a class="sourceLine" id="cb14-16" title="16">}</a></code></pre></div> +<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1"><span class="cf">if</span> (<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/library">require</a></span>(rbenchmark)) {</a> +<a class="sourceLine" id="cb8-2" title="2"> FOMC_SFO <-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(</a> +<a class="sourceLine" id="cb8-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),</a> +<a class="sourceLine" id="cb8-4" title="4"> <span class="dt">m1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>( <span class="st">"SFO"</span>))</a> +<a class="sourceLine" id="cb8-5" title="5"></a> +<a class="sourceLine" id="cb8-6" title="6"> b<span class="fl">.2</span> <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/rbenchmark/topics/benchmark">benchmark</a></span>(</a> +<a class="sourceLine" id="cb8-7" title="7"> <span class="st">"deSolve, not compiled"</span> =<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(FOMC_SFO, FOCUS_<span class="dv">2006</span>_D,</a> +<a class="sourceLine" id="cb8-8" title="8"> <span class="dt">use_compiled =</span> <span class="ot">FALSE</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>),</a> +<a class="sourceLine" id="cb8-9" title="9"> <span class="st">"deSolve, compiled"</span> =<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(FOMC_SFO, FOCUS_<span class="dv">2006</span>_D, <span class="dt">quiet =</span> <span class="ot">TRUE</span>),</a> +<a class="sourceLine" id="cb8-10" title="10"> <span class="dt">replications =</span> <span class="dv">3</span>)</a> +<a class="sourceLine" id="cb8-11" title="11"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(b<span class="fl">.2</span>)</a> +<a class="sourceLine" id="cb8-12" title="12"> factor_FOMC_SFO <-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/Round">round</a></span>(b<span class="fl">.2</span>[<span class="st">"1"</span>, <span class="st">"relative"</span>])</a> +<a class="sourceLine" id="cb8-13" title="13">} <span class="cf">else</span> {</a> +<a class="sourceLine" id="cb8-14" title="14"> factor_FOMC_SFO <-<span class="st"> </span><span class="ot">NA</span></a> +<a class="sourceLine" id="cb8-15" title="15"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(<span class="st">"R package benchmark is not available"</span>)</a> +<a class="sourceLine" id="cb8-16" title="16">}</a></code></pre></div> <pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre> -<pre><code>## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, use_compiled = FALSE, quiet = -## TRUE): Observations with value of zero were removed from the data</code></pre> -<pre><code>## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, quiet = TRUE): Observations with -## value of zero were removed from the data</code></pre> -<pre><code>## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, use_compiled = FALSE, quiet = -## TRUE): Observations with value of zero were removed from the data - -## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, use_compiled = FALSE, quiet = -## TRUE): Observations with value of zero were removed from the data - -## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, use_compiled = FALSE, quiet = -## TRUE): Observations with value of zero were removed from the data</code></pre> -<pre><code>## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, quiet = TRUE): Observations with -## value of zero were removed from the data - -## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, quiet = TRUE): Observations with -## value of zero were removed from the data - -## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, quiet = TRUE): Observations with -## value of zero were removed from the data</code></pre> <pre><code>## test replications elapsed relative user.self sys.self -## 2 deSolve, compiled 3 4.818 1.000 4.814 0 -## 1 deSolve, not compiled 3 53.275 11.057 53.249 0 +## 2 deSolve, compiled 3 3.773 1.000 3.770 0 +## 1 deSolve, not compiled 3 27.812 7.371 27.798 0 ## user.child sys.child ## 2 0 0 ## 1 0 0</code></pre> -<p>Here we get a performance benefit of a factor of 11 using the version of the differential equation model compiled from C code!</p> -<p>This vignette was built with mkin 0.9.49.5 on</p> +<p>Here we get a performance benefit of a factor of 7 using the version of the differential equation model compiled from C code!</p> +<p>This vignette was built with mkin 0.9.48.1 on</p> <pre><code>## R version 3.6.0 (2019-04-26) ## Platform: x86_64-pc-linux-gnu (64-bit) ## Running under: Debian GNU/Linux 10 (buster)</code></pre> |
