Merge branch 'main' into dev

Start new development version

1 files changed, 52 insertions, 52 deletions

diff --git a/docs/articles/FOCUS_L.html b/docs/articles/FOCUS_L.html
index dabb16f2..7b5acf17 100644
--- a/docs/articles/FOCUS_L.html
+++ b/docs/articles/FOCUS_L.html
@@ -33,7 +33,7 @@
       </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">1.2.4</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">1.2.5</span>
       </span>
     </div>
 
@@ -135,7 +135,7 @@ to L3</h1>
 Ranke</h4>
             
             <h4 data-toc-skip class="date">Last change 18 May 2023
-(rebuilt 2023-05-19)</h4>
+(rebuilt 2023-08-09)</h4>
       
       <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/vignettes/FOCUS_L.rmd" class="external-link"><code>vignettes/FOCUS_L.rmd</code></a></small>
       <div class="hidden name"><code>FOCUS_L.rmd</code></div>
@@ -168,18 +168,18 @@ model fit. This covers the numerical analysis given in the FOCUS
 report.</p>
 <div class="sourceCode" id="cb2"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="va">m.L1.SFO</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="va">FOCUS_2006_L1_mkin</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
-<span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m.L1.SFO</span><span class="op">)</span></span></code></pre></div>
-<pre><code><span><span class="co">## mkin version used for fitting:    1.2.4 </span></span>
-<span><span class="co">## R version used for fitting:       4.3.0 </span></span>
-<span><span class="co">## Date of fit:     Fri May 19 09:20:25 2023 </span></span>
-<span><span class="co">## Date of summary: Fri May 19 09:20:25 2023 </span></span>
+<span><span class="fu"><a href="https://rdrr.io/r/base/summary.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m.L1.SFO</span><span class="op">)</span></span></code></pre></div>
+<pre><code><span><span class="co">## mkin version used for fitting:    1.2.5 </span></span>
+<span><span class="co">## R version used for fitting:       4.3.1 </span></span>
+<span><span class="co">## Date of fit:     Wed Aug  9 17:55:39 2023 </span></span>
+<span><span class="co">## Date of summary: Wed Aug  9 17:55:39 2023 </span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Equations:</span></span>
 <span><span class="co">## d_parent/dt = - k_parent * parent</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Model predictions using solution type analytical </span></span>
 <span><span class="co">## </span></span>
-<span><span class="co">## Fitted using 133 model solutions performed in 0.011 s</span></span>
+<span><span class="co">## Fitted using 133 model solutions performed in 0.031 s</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Error model: Constant variance </span></span>
 <span><span class="co">## </span></span>
@@ -256,7 +256,7 @@ report.</p>
 <p>A plot of the fit is obtained with the plot function for mkinfit
 objects.</p>
 <div class="sourceCode" id="cb4"><pre class="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L1.SFO</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span>, main <span class="op">=</span> <span class="st">"FOCUS L1 - SFO"</span><span class="op">)</span></span></code></pre></div>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L1.SFO</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span>, main <span class="op">=</span> <span class="st">"FOCUS L1 - SFO"</span><span class="op">)</span></span></code></pre></div>
 <p><img src="FOCUS_L_files/figure-html/unnamed-chunk-4-1.png" width="576"></p>
 <p>The residual plot can be easily obtained by</p>
 <div class="sourceCode" id="cb5"><pre class="downlit sourceCode r">
@@ -268,25 +268,25 @@ objects.</p>
 <pre><code><span><span class="co">## Warning in mkinfit("FOMC", FOCUS_2006_L1_mkin, quiet = TRUE): Optimisation did not converge:</span></span>
 <span><span class="co">## false convergence (8)</span></span></code></pre>
 <div class="sourceCode" id="cb8"><pre class="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L1.FOMC</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span>, main <span class="op">=</span> <span class="st">"FOCUS L1 - FOMC"</span><span class="op">)</span></span></code></pre></div>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L1.FOMC</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span>, main <span class="op">=</span> <span class="st">"FOCUS L1 - FOMC"</span><span class="op">)</span></span></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="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m.L1.FOMC</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/summary.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m.L1.FOMC</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
 <pre><code><span><span class="co">## Warning in sqrt(diag(covar)): NaNs produced</span></span></code></pre>
 <pre><code><span><span class="co">## Warning in sqrt(1/diag(V)): NaNs produced</span></span></code></pre>
 <pre><code><span><span class="co">## Warning in cov2cor(ans$covar): diag(.) had 0 or NA entries; non-finite result</span></span>
 <span><span class="co">## is doubtful</span></span></code></pre>
-<pre><code><span><span class="co">## mkin version used for fitting:    1.2.4 </span></span>
-<span><span class="co">## R version used for fitting:       4.3.0 </span></span>
-<span><span class="co">## Date of fit:     Fri May 19 09:20:25 2023 </span></span>
-<span><span class="co">## Date of summary: Fri May 19 09:20:25 2023 </span></span>
+<pre><code><span><span class="co">## mkin version used for fitting:    1.2.5 </span></span>
+<span><span class="co">## R version used for fitting:       4.3.1 </span></span>
+<span><span class="co">## Date of fit:     Wed Aug  9 17:55:39 2023 </span></span>
+<span><span class="co">## Date of summary: Wed Aug  9 17:55:39 2023 </span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Equations:</span></span>
 <span><span class="co">## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Model predictions using solution type analytical </span></span>
 <span><span class="co">## </span></span>
-<span><span class="co">## Fitted using 342 model solutions performed in 0.021 s</span></span>
+<span><span class="co">## Fitted using 342 model solutions performed in 0.07 s</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Error model: Constant variance </span></span>
 <span><span class="co">## </span></span>
@@ -398,7 +398,7 @@ 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="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="va">m.L2.SFO</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="va">FOCUS_2006_L2_mkin</span>, quiet<span class="op">=</span><span class="cn">TRUE</span><span class="op">)</span></span>
-<span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L2.SFO</span>, show_residuals <span class="op">=</span> <span class="cn">TRUE</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span>,</span>
+<span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L2.SFO</span>, show_residuals <span class="op">=</span> <span class="cn">TRUE</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span>,</span>
 <span>     main <span class="op">=</span> <span class="st">"FOCUS L2 - SFO"</span><span class="op">)</span></span></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%
@@ -422,22 +422,22 @@ kinetics.</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="cb16"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="va">m.L2.FOMC</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"FOMC"</span>, <span class="va">FOCUS_2006_L2_mkin</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
-<span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L2.FOMC</span>, show_residuals <span class="op">=</span> <span class="cn">TRUE</span>,</span>
+<span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L2.FOMC</span>, show_residuals <span class="op">=</span> <span class="cn">TRUE</span>,</span>
 <span>     main <span class="op">=</span> <span class="st">"FOCUS L2 - FOMC"</span><span class="op">)</span></span></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="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m.L2.FOMC</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
-<pre><code><span><span class="co">## mkin version used for fitting:    1.2.4 </span></span>
-<span><span class="co">## R version used for fitting:       4.3.0 </span></span>
-<span><span class="co">## Date of fit:     Fri May 19 09:20:25 2023 </span></span>
-<span><span class="co">## Date of summary: Fri May 19 09:20:25 2023 </span></span>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/summary.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m.L2.FOMC</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
+<pre><code><span><span class="co">## mkin version used for fitting:    1.2.5 </span></span>
+<span><span class="co">## R version used for fitting:       4.3.1 </span></span>
+<span><span class="co">## Date of fit:     Wed Aug  9 17:55:40 2023 </span></span>
+<span><span class="co">## Date of summary: Wed Aug  9 17:55:40 2023 </span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Equations:</span></span>
 <span><span class="co">## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Model predictions using solution type analytical </span></span>
 <span><span class="co">## </span></span>
-<span><span class="co">## Fitted using 239 model solutions performed in 0.013 s</span></span>
+<span><span class="co">## Fitted using 239 model solutions performed in 0.044 s</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Error model: Constant variance </span></span>
 <span><span class="co">## </span></span>
@@ -506,15 +506,15 @@ the data.</p>
 <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="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="va">m.L2.DFOP</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"DFOP"</span>, <span class="va">FOCUS_2006_L2_mkin</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
-<span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L2.DFOP</span>, show_residuals <span class="op">=</span> <span class="cn">TRUE</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span>,</span>
+<span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">m.L2.DFOP</span>, show_residuals <span class="op">=</span> <span class="cn">TRUE</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span>,</span>
 <span>     main <span class="op">=</span> <span class="st">"FOCUS L2 - DFOP"</span><span class="op">)</span></span></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="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m.L2.DFOP</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
-<pre><code><span><span class="co">## mkin version used for fitting:    1.2.4 </span></span>
-<span><span class="co">## R version used for fitting:       4.3.0 </span></span>
-<span><span class="co">## Date of fit:     Fri May 19 09:20:25 2023 </span></span>
-<span><span class="co">## Date of summary: Fri May 19 09:20:25 2023 </span></span>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/summary.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m.L2.DFOP</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
+<pre><code><span><span class="co">## mkin version used for fitting:    1.2.5 </span></span>
+<span><span class="co">## R version used for fitting:       4.3.1 </span></span>
+<span><span class="co">## Date of fit:     Wed Aug  9 17:55:40 2023 </span></span>
+<span><span class="co">## Date of summary: Wed Aug  9 17:55:40 2023 </span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Equations:</span></span>
 <span><span class="co">## d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *</span></span>
@@ -523,7 +523,7 @@ the data.</p>
 <span><span class="co">## </span></span>
 <span><span class="co">## Model predictions using solution type analytical </span></span>
 <span><span class="co">## </span></span>
-<span><span class="co">## Fitted using 581 model solutions performed in 0.038 s</span></span>
+<span><span class="co">## Fitted using 581 model solutions performed in 0.119 s</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Error model: Constant variance </span></span>
 <span><span class="co">## </span></span>
@@ -611,7 +611,7 @@ only the L3 dataset prepared above.</p>
 <code class="sourceCode R"><span><span class="co"># Only use one core here, not to offend the CRAN checks</span></span>
 <span><span class="va">mm.L3</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/mmkin.html">mmkin</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span><span class="op">)</span>, cores <span class="op">=</span> <span class="fl">1</span>,</span>
 <span>               <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span><span class="st">"FOCUS L3"</span> <span class="op">=</span> <span class="va">FOCUS_2006_L3_mkin</span><span class="op">)</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
-<span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">mm.L3</span><span class="op">)</span></span></code></pre></div>
+<span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">mm.L3</span><span class="op">)</span></span></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
@@ -627,11 +627,11 @@ as a row index and datasets as a column index.</p>
 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="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">mm.L3</span><span class="op">[[</span><span class="st">"DFOP"</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span><span class="op">)</span></span></code></pre></div>
-<pre><code><span><span class="co">## mkin version used for fitting:    1.2.4 </span></span>
-<span><span class="co">## R version used for fitting:       4.3.0 </span></span>
-<span><span class="co">## Date of fit:     Fri May 19 09:20:26 2023 </span></span>
-<span><span class="co">## Date of summary: Fri May 19 09:20:26 2023 </span></span>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/summary.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">mm.L3</span><span class="op">[[</span><span class="st">"DFOP"</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span><span class="op">)</span></span></code></pre></div>
+<pre><code><span><span class="co">## mkin version used for fitting:    1.2.5 </span></span>
+<span><span class="co">## R version used for fitting:       4.3.1 </span></span>
+<span><span class="co">## Date of fit:     Wed Aug  9 17:55:41 2023 </span></span>
+<span><span class="co">## Date of summary: Wed Aug  9 17:55:41 2023 </span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Equations:</span></span>
 <span><span class="co">## d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *</span></span>
@@ -640,7 +640,7 @@ summary and plot functions working on mkinfit objects.</p>
 <span><span class="co">## </span></span>
 <span><span class="co">## Model predictions using solution type analytical </span></span>
 <span><span class="co">## </span></span>
-<span><span class="co">## Fitted using 376 model solutions performed in 0.021 s</span></span>
+<span><span class="co">## Fitted using 376 model solutions performed in 0.075 s</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Error model: Constant variance </span></span>
 <span><span class="co">## </span></span>
@@ -715,7 +715,7 @@ summary and plot functions working on mkinfit objects.</p>
 <span><span class="co">##    91   parent     15.0     15.18 -0.18181</span></span>
 <span><span class="co">##   120   parent     12.0     10.19  1.81395</span></span></code></pre>
 <div class="sourceCode" id="cb26"><pre class="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">mm.L3</span><span class="op">[[</span><span class="st">"DFOP"</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></code></pre></div>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">mm.L3</span><span class="op">[[</span><span class="st">"DFOP"</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></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
@@ -746,7 +746,7 @@ below:</p>
 <span><span class="va">mm.L4</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/mmkin.html">mmkin</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"FOMC"</span><span class="op">)</span>, cores <span class="op">=</span> <span class="fl">1</span>,</span>
 <span>               <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span><span class="st">"FOCUS L4"</span> <span class="op">=</span> <span class="va">FOCUS_2006_L4_mkin</span><span class="op">)</span>,</span>
 <span>               quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
-<span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">mm.L4</span><span class="op">)</span></span></code></pre></div>
+<span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">mm.L4</span><span class="op">)</span></span></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
@@ -754,18 +754,18 @@ 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="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">mm.L4</span><span class="op">[[</span><span class="st">"SFO"</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
-<pre><code><span><span class="co">## mkin version used for fitting:    1.2.4 </span></span>
-<span><span class="co">## R version used for fitting:       4.3.0 </span></span>
-<span><span class="co">## Date of fit:     Fri May 19 09:20:26 2023 </span></span>
-<span><span class="co">## Date of summary: Fri May 19 09:20:26 2023 </span></span>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/summary.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">mm.L4</span><span class="op">[[</span><span class="st">"SFO"</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
+<pre><code><span><span class="co">## mkin version used for fitting:    1.2.5 </span></span>
+<span><span class="co">## R version used for fitting:       4.3.1 </span></span>
+<span><span class="co">## Date of fit:     Wed Aug  9 17:55:42 2023 </span></span>
+<span><span class="co">## Date of summary: Wed Aug  9 17:55:42 2023 </span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Equations:</span></span>
 <span><span class="co">## d_parent/dt = - k_parent * parent</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Model predictions using solution type analytical </span></span>
 <span><span class="co">## </span></span>
-<span><span class="co">## Fitted using 142 model solutions performed in 0.008 s</span></span>
+<span><span class="co">## Fitted using 142 model solutions performed in 0.027 s</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Error model: Constant variance </span></span>
 <span><span class="co">## </span></span>
@@ -819,18 +819,18 @@ appears negligible.</p>
 <span><span class="co">##        DT50 DT90</span></span>
 <span><span class="co">## parent  106  352</span></span></code></pre>
 <div class="sourceCode" id="cb31"><pre class="downlit sourceCode r">
-<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">mm.L4</span><span class="op">[[</span><span class="st">"FOMC"</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
-<pre><code><span><span class="co">## mkin version used for fitting:    1.2.4 </span></span>
-<span><span class="co">## R version used for fitting:       4.3.0 </span></span>
-<span><span class="co">## Date of fit:     Fri May 19 09:20:26 2023 </span></span>
-<span><span class="co">## Date of summary: Fri May 19 09:20:26 2023 </span></span>
+<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/summary.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">mm.L4</span><span class="op">[[</span><span class="st">"FOMC"</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span>, data <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
+<pre><code><span><span class="co">## mkin version used for fitting:    1.2.5 </span></span>
+<span><span class="co">## R version used for fitting:       4.3.1 </span></span>
+<span><span class="co">## Date of fit:     Wed Aug  9 17:55:42 2023 </span></span>
+<span><span class="co">## Date of summary: Wed Aug  9 17:55:42 2023 </span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Equations:</span></span>
 <span><span class="co">## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Model predictions using solution type analytical </span></span>
 <span><span class="co">## </span></span>
-<span><span class="co">## Fitted using 224 model solutions performed in 0.012 s</span></span>
+<span><span class="co">## Fitted using 224 model solutions performed in 0.04 s</span></span>
 <span><span class="co">## </span></span>
 <span><span class="co">## Error model: Constant variance </span></span>
 <span><span class="co">## </span></span>