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-object. An mmkin row object is essentially a list of mkinfit objects that
-have been obtained by fitting the same model to a list of datasets."><meta name="robots" content="noindex"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
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- <li>
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- <a href="../articles/prebuilt/2022_dmta_parent.html">Testing hierarchical parent degradation kinetics with residue data on dimethenamid and dimethenamid-P</a>
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- <div class="page-header">
- <h1>Create an nlme model for an mmkin row object</h1>
- <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/nlme.mmkin.R" class="external-link"><code>R/nlme.mmkin.R</code></a></small>
- <div class="hidden name"><code>nlme.mmkin.Rd</code></div>
- </div>
-
- <div class="ref-description">
- <p>This functions sets up a nonlinear mixed effects model for an mmkin row
-object. An mmkin row object is essentially a list of mkinfit objects that
-have been obtained by fitting the same model to a list of datasets.</p>
- </div>
-
- <div id="ref-usage">
- <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="co"># S3 method for mmkin</span></span>
-<span><span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span></span>
-<span> <span class="va">model</span>,</span>
-<span> data <span class="op">=</span> <span class="st">"auto"</span>,</span>
-<span> fixed <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">as.list</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/names.html" class="external-link">names</a></span><span class="op">(</span><span class="fu"><a href="mean_degparms.html">mean_degparms</a></span><span class="op">(</span><span class="va">model</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>, <span class="kw">function</span><span class="op">(</span><span class="va">el</span><span class="op">)</span> <span class="fu"><a href="https://rdrr.io/r/base/eval.html" class="external-link">eval</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/parse.html" class="external-link">parse</a></span><span class="op">(</span>text <span class="op">=</span></span>
-<span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste</a></span><span class="op">(</span><span class="va">el</span>, <span class="fl">1</span>, sep <span class="op">=</span> <span class="st">"~"</span><span class="op">)</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>,</span>
-<span> random <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/pdDiag.html" class="external-link">pdDiag</a></span><span class="op">(</span><span class="va">fixed</span><span class="op">)</span>,</span>
-<span> <span class="va">groups</span>,</span>
-<span> start <span class="op">=</span> <span class="fu"><a href="mean_degparms.html">mean_degparms</a></span><span class="op">(</span><span class="va">model</span>, random <span class="op">=</span> <span class="cn">TRUE</span>, test_log_parms <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span>,</span>
-<span> correlation <span class="op">=</span> <span class="cn">NULL</span>,</span>
-<span> weights <span class="op">=</span> <span class="cn">NULL</span>,</span>
-<span> <span class="va">subset</span>,</span>
-<span> method <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">"ML"</span>, <span class="st">"REML"</span><span class="op">)</span>,</span>
-<span> na.action <span class="op">=</span> <span class="va">na.fail</span>,</span>
-<span> <span class="va">naPattern</span>,</span>
-<span> control <span class="op">=</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="op">)</span>,</span>
-<span> verbose <span class="op">=</span> <span class="cn">FALSE</span></span>
-<span><span class="op">)</span></span>
-<span></span>
-<span><span class="co"># S3 method for nlme.mmkin</span></span>
-<span><span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">x</span>, digits <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fu"><a href="https://rdrr.io/r/base/options.html" class="external-link">getOption</a></span><span class="op">(</span><span class="st">"digits"</span><span class="op">)</span> <span class="op">-</span> <span class="fl">3</span><span class="op">)</span>, <span class="va">...</span><span class="op">)</span></span>
-<span></span>
-<span><span class="co"># S3 method for nlme.mmkin</span></span>
-<span><span class="fu"><a href="https://rdrr.io/r/stats/update.html" class="external-link">update</a></span><span class="op">(</span><span class="va">object</span>, <span class="va">...</span><span class="op">)</span></span></code></pre></div>
- </div>
-
- <div id="arguments">
- <h2>Arguments</h2>
- <dl><dt>model</dt>
-<dd><p>An <a href="mmkin.html">mmkin</a> row object.</p></dd>
-
-
-<dt>data</dt>
-<dd><p>Ignored, data are taken from the mmkin model</p></dd>
-
-
-<dt>fixed</dt>
-<dd><p>Ignored, all degradation parameters fitted in the
-mmkin model are used as fixed parameters</p></dd>
-
-
-<dt>random</dt>
-<dd><p>If not specified, no correlations between random effects are
-set up for the optimised degradation model parameters. This is
-achieved by using the <a href="https://rdrr.io/pkg/nlme/man/pdDiag.html" class="external-link">nlme::pdDiag</a> method.</p></dd>
-
-
-<dt>groups</dt>
-<dd><p>See the documentation of nlme</p></dd>
-
-
-<dt>start</dt>
-<dd><p>If not specified, mean values of the fitted degradation
-parameters taken from the mmkin object are used</p></dd>
-
-
-<dt>correlation</dt>
-<dd><p>See the documentation of nlme</p></dd>
-
-
-<dt>weights</dt>
-<dd><p>passed to nlme</p></dd>
-
-
-<dt>subset</dt>
-<dd><p>passed to nlme</p></dd>
-
-
-<dt>method</dt>
-<dd><p>passed to nlme</p></dd>
-
-
-<dt>na.action</dt>
-<dd><p>passed to nlme</p></dd>
-
-
-<dt>naPattern</dt>
-<dd><p>passed to nlme</p></dd>
-
-
-<dt>control</dt>
-<dd><p>passed to nlme</p></dd>
-
-
-<dt>verbose</dt>
-<dd><p>passed to nlme</p></dd>
-
-
-<dt>x</dt>
-<dd><p>An nlme.mmkin object to print</p></dd>
-
-
-<dt>digits</dt>
-<dd><p>Number of digits to use for printing</p></dd>
-
-
-<dt>...</dt>
-<dd><p>Update specifications passed to update.nlme</p></dd>
-
-
-<dt>object</dt>
-<dd><p>An nlme.mmkin object to update</p></dd>
-
-</dl></div>
- <div id="value">
- <h2>Value</h2>
-
-
-<p>Upon success, a fitted 'nlme.mmkin' object, which is an nlme object
-with additional elements. It also inherits from 'mixed.mmkin'.</p>
- </div>
- <div id="details">
- <h2>Details</h2>
- <p>Note that the convergence of the nlme algorithms depends on the quality
-of the data. In degradation kinetics, we often only have few datasets
-(e.g. data for few soils) and complicated degradation models, which may
-make it impossible to obtain convergence with nlme.</p>
- </div>
- <div id="note">
- <h2>Note</h2>
- <p>As the object inherits from <a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme::nlme</a>, there is a wealth of
-methods that will automatically work on 'nlme.mmkin' objects, such as
-<code><a href="https://rdrr.io/pkg/nlme/man/intervals.html" class="external-link">nlme::intervals()</a></code>, <code><a href="https://rdrr.io/pkg/nlme/man/anova.lme.html" class="external-link">nlme::anova.lme()</a></code> and <code><a href="https://rdrr.io/pkg/nlme/man/coef.lme.html" class="external-link">nlme::coef.lme()</a></code>.</p>
- </div>
- <div id="see-also">
- <h2>See also</h2>
- <div class="dont-index"><p><code><a href="nlme.html">nlme_function()</a></code>, <a href="plot.mixed.mmkin.html">plot.mixed.mmkin</a>, <a href="summary.nlme.mmkin.html">summary.nlme.mmkin</a></p></div>
- </div>
-
- <div id="ref-examples">
- <h2>Examples</h2>
- <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="va">ds</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="va">experimental_data_for_UBA_2019</span><span class="op">[</span><span class="fl">6</span><span class="op">:</span><span class="fl">10</span><span class="op">]</span>,</span></span>
-<span class="r-in"><span> <span class="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="fu"><a href="https://rdrr.io/r/base/subset.html" class="external-link">subset</a></span><span class="op">(</span><span class="va">x</span><span class="op">$</span><span class="va">data</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">"name"</span>, <span class="st">"time"</span>, <span class="st">"value"</span><span class="op">)</span><span class="op">]</span>, <span class="va">name</span> <span class="op">==</span> <span class="st">"parent"</span><span class="op">)</span><span class="op">)</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># \dontrun{</span></span></span>
-<span class="r-in"><span> <span class="va">f</span> <span class="op">&lt;-</span> <span class="fu"><a href="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">"DFOP"</span><span class="op">)</span>, <span class="va">ds</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span>, cores <span class="op">=</span> <span class="fl">1</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://svn.r-project.org/R-packages/trunk/nlme/" class="external-link">nlme</a></span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="va">f_nlme_sfo</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f</span><span class="op">[</span><span class="st">"SFO"</span>, <span class="op">]</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="va">f_nlme_dfop</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f</span><span class="op">[</span><span class="st">"DFOP"</span>, <span class="op">]</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/stats/anova.html" class="external-link">anova</a></span><span class="op">(</span><span class="va">f_nlme_sfo</span>, <span class="va">f_nlme_dfop</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Model df AIC BIC logLik Test L.Ratio p-value</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> f_nlme_sfo 1 5 625.0539 637.5529 -307.5269 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> f_nlme_dfop 2 9 495.1270 517.6253 -238.5635 1 vs 2 137.9268 &lt;.0001</span>
-<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">f_nlme_dfop</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Kinetic nonlinear mixed-effects model fit by maximum likelihood</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Structural model:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> * parent</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Data:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 90 observations of 1 variable(s) grouped in 5 datasets</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Log-likelihood: -238.6</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Fixed effects:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1) </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 log_k1 log_k2 g_qlogis </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 94.1702 -1.8002 -4.1474 0.0324 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Random effects:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Formula: list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1)</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Level: ds</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Structure: Diagonal</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 log_k1 log_k2 g_qlogis Residual</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> StdDev: 2.488 0.8447 1.33 0.4652 2.321</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><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">f_nlme_dfop</span><span class="op">)</span></span></span>
-<span class="r-plt img"><img src="nlme.mmkin-1.png" alt="" width="700" height="433"></span>
-<span class="r-in"><span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">f_nlme_dfop</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> $distimes</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> DT50 DT90 DT50back DT50_k1 DT50_k2</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent 10.79857 100.7937 30.34192 4.193936 43.85441</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="va">ds_2</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="va">experimental_data_for_UBA_2019</span><span class="op">[</span><span class="fl">6</span><span class="op">:</span><span class="fl">10</span><span class="op">]</span>,</span></span>
-<span class="r-in"><span> <span class="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="va">x</span><span class="op">$</span><span class="va">data</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">"name"</span>, <span class="st">"time"</span>, <span class="st">"value"</span><span class="op">)</span><span class="op">]</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="va">m_sfo_sfo</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"A1"</span><span class="op">)</span>,</span></span>
-<span class="r-in"><span> A1 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span>, use_of_ff <span class="op">=</span> <span class="st">"min"</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="va">m_sfo_sfo_ff</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"A1"</span><span class="op">)</span>,</span></span>
-<span class="r-in"><span> A1 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span>, use_of_ff <span class="op">=</span> <span class="st">"max"</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="va">m_dfop_sfo</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"DFOP"</span>, <span class="st">"A1"</span><span class="op">)</span>,</span></span>
-<span class="r-in"><span> A1 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="va">f_2</span> <span class="op">&lt;-</span> <span class="fu"><a href="mmkin.html">mmkin</a></span><span class="op">(</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">"SFO-SFO"</span> <span class="op">=</span> <span class="va">m_sfo_sfo</span>,</span></span>
-<span class="r-in"><span> <span class="st">"SFO-SFO-ff"</span> <span class="op">=</span> <span class="va">m_sfo_sfo_ff</span>,</span></span>
-<span class="r-in"><span> <span class="st">"DFOP-SFO"</span> <span class="op">=</span> <span class="va">m_dfop_sfo</span><span class="op">)</span>,</span></span>
-<span class="r-in"><span> <span class="va">ds_2</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="va">f_nlme_sfo_sfo</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f_2</span><span class="op">[</span><span class="st">"SFO-SFO"</span>, <span class="op">]</span><span class="op">)</span></span></span>
-<span class="r-in"><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">f_nlme_sfo_sfo</span><span class="op">)</span></span></span>
-<span class="r-plt img"><img src="nlme.mmkin-2.png" alt="" width="700" height="433"></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="co"># With formation fractions this does not coverge with defaults</span></span></span>
-<span class="r-in"><span> <span class="co"># f_nlme_sfo_sfo_ff &lt;- nlme(f_2["SFO-SFO-ff", ])</span></span></span>
-<span class="r-in"><span> <span class="co">#plot(f_nlme_sfo_sfo_ff)</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="co"># For the following, we need to increase pnlsMaxIter and the tolerance</span></span></span>
-<span class="r-in"><span> <span class="co"># to get convergence</span></span></span>
-<span class="r-in"><span> <span class="va">f_nlme_dfop_sfo</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f_2</span><span class="op">[</span><span class="st">"DFOP-SFO"</span>, <span class="op">]</span>,</span></span>
-<span class="r-in"><span> control <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>pnlsMaxIter <span class="op">=</span> <span class="fl">120</span>, tolerance <span class="op">=</span> <span class="fl">5e-4</span><span class="op">)</span><span class="op">)</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><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">f_nlme_dfop_sfo</span><span class="op">)</span></span></span>
-<span class="r-plt img"><img src="nlme.mmkin-3.png" alt="" width="700" height="433"></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/stats/anova.html" class="external-link">anova</a></span><span class="op">(</span><span class="va">f_nlme_dfop_sfo</span>, <span class="va">f_nlme_sfo_sfo</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Model df AIC BIC logLik Test L.Ratio p-value</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> f_nlme_dfop_sfo 1 13 843.8547 884.6201 -408.9274 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> f_nlme_sfo_sfo 2 9 1085.1821 1113.4043 -533.5910 1 vs 2 249.3274 &lt;.0001</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">f_nlme_sfo_sfo</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> $ff</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent_sink parent_A1 A1_sink </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 0.5912432 0.4087568 1.0000000 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> $distimes</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> DT50 DT90</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent 19.13518 63.5657</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> A1 66.02155 219.3189</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">f_nlme_dfop_sfo</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> $ff</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent_A1 parent_sink </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 0.2768575 0.7231425 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> $distimes</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> DT50 DT90 DT50back DT50_k1 DT50_k2</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent 11.07091 104.6320 31.49737 4.462384 46.20825</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> A1 162.30507 539.1658 NA NA NA</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="kw">if</span> <span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/length.html" class="external-link">length</a></span><span class="op">(</span><span class="fu">findFunction</span><span class="op">(</span><span class="st">"varConstProp"</span><span class="op">)</span><span class="op">)</span> <span class="op">&gt;</span> <span class="fl">0</span><span class="op">)</span> <span class="op">{</span> <span class="co"># tc error model for nlme available</span></span></span>
-<span class="r-in"><span> <span class="co"># Attempts to fit metabolite kinetics with the tc error model are possible,</span></span></span>
-<span class="r-in"><span> <span class="co"># but need tweeking of control values and sometimes do not converge</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="va">f_tc</span> <span class="op">&lt;-</span> <span class="fu"><a href="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">"DFOP"</span><span class="op">)</span>, <span class="va">ds</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span>, error_model <span class="op">=</span> <span class="st">"tc"</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="va">f_nlme_sfo_tc</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f_tc</span><span class="op">[</span><span class="st">"SFO"</span>, <span class="op">]</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="va">f_nlme_dfop_tc</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f_tc</span><span class="op">[</span><span class="st">"DFOP"</span>, <span class="op">]</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">AIC</a></span><span class="op">(</span><span class="va">f_nlme_sfo</span>, <span class="va">f_nlme_sfo_tc</span>, <span class="va">f_nlme_dfop</span>, <span class="va">f_nlme_dfop_tc</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">f_nlme_dfop_tc</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="op">}</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Kinetic nonlinear mixed-effects model fit by maximum likelihood</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Structural model:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> * parent</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Data:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 90 observations of 1 variable(s) grouped in 5 datasets</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Log-likelihood: -238.4</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Fixed effects:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1) </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 log_k1 log_k2 g_qlogis </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 94.04773 -1.82340 -4.16716 0.05686 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Random effects:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Formula: list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1)</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Level: ds</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Structure: Diagonal</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 log_k1 log_k2 g_qlogis Residual</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> StdDev: 2.474 0.85 1.337 0.4659 1</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Variance function:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Structure: Constant plus proportion of variance covariate</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Formula: ~fitted(.) </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Parameter estimates:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> const prop </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 2.23223593 0.01262367 </span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="va">f_2_obs</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/stats/update.html" class="external-link">update</a></span><span class="op">(</span><span class="va">f_2</span>, error_model <span class="op">=</span> <span class="st">"obs"</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="va">f_nlme_sfo_sfo_obs</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f_2_obs</span><span class="op">[</span><span class="st">"SFO-SFO"</span>, <span class="op">]</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">f_nlme_sfo_sfo_obs</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Kinetic nonlinear mixed-effects model fit by maximum likelihood</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Structural model:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> d_parent/dt = - k_parent_sink * parent - k_parent_A1 * parent</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> d_A1/dt = + k_parent_A1 * parent - k_A1_sink * A1</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Data:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 170 observations of 2 variable(s) grouped in 5 datasets</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Log-likelihood: -473</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Fixed effects:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> list(parent_0 ~ 1, log_k_parent_sink ~ 1, log_k_parent_A1 ~ 1, log_k_A1_sink ~ 1) </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 log_k_parent_sink log_k_parent_A1 log_k_A1_sink </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 87.976 -3.670 -4.164 -4.645 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Random effects:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Formula: list(parent_0 ~ 1, log_k_parent_sink ~ 1, log_k_parent_A1 ~ 1, log_k_A1_sink ~ 1)</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Level: ds</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Structure: Diagonal</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 log_k_parent_sink log_k_parent_A1 log_k_A1_sink Residual</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> StdDev: 3.992 1.777 1.055 0.4821 6.483</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Variance function:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Structure: Different standard deviations per stratum</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Formula: ~1 | name </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Parameter estimates:</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> parent A1 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 1.0000000 0.2049994 </span>
-<span class="r-in"><span> <span class="va">f_nlme_dfop_sfo_obs</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f_2_obs</span><span class="op">[</span><span class="st">"DFOP-SFO"</span>, <span class="op">]</span>,</span></span>
-<span class="r-in"><span> control <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>pnlsMaxIter <span class="op">=</span> <span class="fl">120</span>, tolerance <span class="op">=</span> <span class="fl">5e-4</span><span class="op">)</span><span class="op">)</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="va">f_2_tc</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/stats/update.html" class="external-link">update</a></span><span class="op">(</span><span class="va">f_2</span>, error_model <span class="op">=</span> <span class="st">"tc"</span><span class="op">)</span></span></span>
-<span class="r-in"><span> <span class="co"># f_nlme_sfo_sfo_tc &lt;- nlme(f_2_tc["SFO-SFO", ]) # No convergence with 50 iterations</span></span></span>
-<span class="r-in"><span> <span class="co"># f_nlme_dfop_sfo_tc &lt;- nlme(f_2_tc["DFOP-SFO", ],</span></span></span>
-<span class="r-in"><span> <span class="co"># control = list(pnlsMaxIter = 120, tolerance = 5e-4)) # Error in X[, fmap[[nm]]] &lt;- gradnm</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/stats/anova.html" class="external-link">anova</a></span><span class="op">(</span><span class="va">f_nlme_dfop_sfo</span>, <span class="va">f_nlme_dfop_sfo_obs</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Model df AIC BIC logLik Test L.Ratio</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> f_nlme_dfop_sfo 1 13 843.8547 884.6201 -408.9274 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> f_nlme_dfop_sfo_obs 2 14 817.5338 861.4350 -394.7669 1 vs 2 28.32093</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> p-value</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> f_nlme_dfop_sfo </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> f_nlme_dfop_sfo_obs &lt;.0001</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># }</span></span></span>
-</code></pre></div>
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