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+an increasing rate constant, supposedly caused by microbial growth"><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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@@ -73,23 +18,21 @@ an increasing rate constant, supposedly caused by microbial growth" />
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- <span class="version label label-info" data-toggle="tooltip" data-placement="bottom" title="In-development version">1.0.3.9000</span>
+ <span class="version label label-info" data-toggle="tooltip" data-placement="bottom" title="In-development version">1.2.0</span>
</span>
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+ <ul class="nav navbar-nav"><li>
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@@ -99,12 +42,18 @@ an increasing rate constant, supposedly caused by microbial growth" />
<a href="../articles/FOCUS_L.html">Example evaluation of FOCUS Laboratory Data L1 to L3</a>
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- <a href="../articles/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a>
+ <a href="../articles/web_only/dimethenamid_2018.html">Example evaluations of dimethenamid data from 2018 with nonlinear mixed-effects models</a>
+ </li>
+ <li>
+ <a href="../articles/web_only/multistart.html">Short demo of the multistart method</a>
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+ <li>
<a href="../articles/twa.html">Calculation of time weighted average concentrations with mkin</a>
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@@ -113,34 +62,27 @@ an increasing rate constant, supposedly caused by microbial growth" />
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<div class="page-header">
<h1>Logistic kinetics</h1>
- <small class="dont-index">Source: <a href='https://github.com/jranke/mkin/blob/master/R/parent_solutions.R'><code>R/parent_solutions.R</code></a></small>
+ <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/parent_solutions.R" class="external-link"><code>R/parent_solutions.R</code></a></small>
<div class="hidden name"><code>logistic.solution.Rd</code></div>
</div>
@@ -149,136 +91,143 @@ an increasing rate constant, supposedly caused by microbial growth" />
an increasing rate constant, supposedly caused by microbial growth</p>
</div>
- <pre class="usage"><span class='fu'>logistic.solution</span><span class='op'>(</span><span class='va'>t</span>, <span class='va'>parent_0</span>, <span class='va'>kmax</span>, <span class='va'>k0</span>, <span class='va'>r</span><span class='op'>)</span></pre>
+ <div id="ref-usage">
+ <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">logistic.solution</span><span class="op">(</span><span class="va">t</span>, <span class="va">parent_0</span>, <span class="va">kmax</span>, <span class="va">k0</span>, <span class="va">r</span><span class="op">)</span></span></code></pre></div>
+ </div>
- <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
- <table class="ref-arguments">
- <colgroup><col class="name" /><col class="desc" /></colgroup>
- <tr>
- <th>t</th>
- <td><p>Time.</p></td>
- </tr>
- <tr>
- <th>parent_0</th>
- <td><p>Starting value for the response variable at time zero.</p></td>
- </tr>
- <tr>
- <th>kmax</th>
- <td><p>Maximum rate constant.</p></td>
- </tr>
- <tr>
- <th>k0</th>
- <td><p>Minimum rate constant effective at time zero.</p></td>
- </tr>
- <tr>
- <th>r</th>
- <td><p>Growth rate of the increase in the rate constant.</p></td>
- </tr>
- </table>
+ <div id="arguments">
+ <h2>Arguments</h2>
+ <dl><dt>t</dt>
+<dd><p>Time.</p></dd>
- <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
- <p>The value of the response variable at time <code>t</code>.</p>
- <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>Note</h2>
+<dt>parent_0</dt>
+<dd><p>Starting value for the response variable at time zero.</p></dd>
- <p>The solution of the logistic model reduces to the
-<code><a href='SFO.solution.html'>SFO.solution</a></code> if <code>k0</code> is equal to <code>kmax</code>.</p>
- <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2>
- <p>FOCUS (2006) &#8220;Guidance Document on Estimating Persistence
+<dt>kmax</dt>
+<dd><p>Maximum rate constant.</p></dd>
+
+
+<dt>k0</dt>
+<dd><p>Minimum rate constant effective at time zero.</p></dd>
+
+
+<dt>r</dt>
+<dd><p>Growth rate of the increase in the rate constant.</p></dd>
+
+</dl></div>
+ <div id="value">
+ <h2>Value</h2>
+
+
+<p>The value of the response variable at time <code>t</code>.</p>
+ </div>
+ <div id="note">
+ <h2>Note</h2>
+ <p>The solution of the logistic model reduces to the
+<code><a href="SFO.solution.html">SFO.solution</a></code> if <code>k0</code> is equal to <code>kmax</code>.</p>
+ </div>
+ <div id="references">
+ <h2>References</h2>
+ <p>FOCUS (2006) “Guidance Document on Estimating Persistence
and Degradation Kinetics from Environmental Fate Studies on Pesticides in
-EU Registration&#8221; Report of the FOCUS Work Group on Degradation Kinetics,
+EU Registration” Report of the FOCUS Work Group on Degradation Kinetics,
EC Document Reference Sanco/10058/2005 version 2.0, 434 pp,
-<a href='http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics'>http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a>
-FOCUS (2014) &#8220;Generic guidance for Estimating Persistence
+<a href="http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics" class="external-link">http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a>
+FOCUS (2014) “Generic guidance for Estimating Persistence
and Degradation Kinetics from Environmental Fate Studies on Pesticides in
-EU Registration&#8221; Report of the FOCUS Work Group on Degradation Kinetics,
+EU Registration” Report of the FOCUS Work Group on Degradation Kinetics,
Version 1.1, 18 December 2014
-<a href='http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics'>http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a></p>
- <h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>See also</h2>
-
- <div class='dont-index'><p>Other parent solutions:
-<code><a href='DFOP.solution.html'>DFOP.solution</a>()</code>,
-<code><a href='FOMC.solution.html'>FOMC.solution</a>()</code>,
-<code><a href='HS.solution.html'>HS.solution</a>()</code>,
-<code><a href='IORE.solution.html'>IORE.solution</a>()</code>,
-<code><a href='SFO.solution.html'>SFO.solution</a>()</code>,
-<code><a href='SFORB.solution.html'>SFORB.solution</a>()</code></p></div>
-
- <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
- <pre class="examples"><div class='input'>
- <span class='co'># Reproduce the plot on page 57 of FOCUS (2014)</span>
- <span class='fu'><a href='https://rdrr.io/r/graphics/plot.default.html'>plot</a></span><span class='op'>(</span><span class='kw'>function</span><span class='op'>(</span><span class='va'>x</span><span class='op'>)</span> <span class='fu'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.2</span><span class='op'>)</span>,
- from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, ylim <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='fl'>0</span>, <span class='fl'>100</span><span class='op'>)</span>,
- xlab <span class='op'>=</span> <span class='st'>"Time"</span>, ylab <span class='op'>=</span> <span class='st'>"Residue"</span><span class='op'>)</span>
-</div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/graphics/plot.default.html'>plot</a></span><span class='op'>(</span><span class='kw'>function</span><span class='op'>(</span><span class='va'>x</span><span class='op'>)</span> <span class='fu'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.4</span><span class='op'>)</span>,
- from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, add <span class='op'>=</span> <span class='cn'>TRUE</span>, lty <span class='op'>=</span> <span class='fl'>2</span>, col <span class='op'>=</span> <span class='fl'>2</span><span class='op'>)</span>
-</div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/graphics/plot.default.html'>plot</a></span><span class='op'>(</span><span class='kw'>function</span><span class='op'>(</span><span class='va'>x</span><span class='op'>)</span> <span class='fu'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.8</span><span class='op'>)</span>,
- from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, add <span class='op'>=</span> <span class='cn'>TRUE</span>, lty <span class='op'>=</span> <span class='fl'>3</span>, col <span class='op'>=</span> <span class='fl'>3</span><span class='op'>)</span>
-</div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/graphics/plot.default.html'>plot</a></span><span class='op'>(</span><span class='kw'>function</span><span class='op'>(</span><span class='va'>x</span><span class='op'>)</span> <span class='fu'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.001</span>, <span class='fl'>0.2</span><span class='op'>)</span>,
- from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, add <span class='op'>=</span> <span class='cn'>TRUE</span>, lty <span class='op'>=</span> <span class='fl'>4</span>, col <span class='op'>=</span> <span class='fl'>4</span><span class='op'>)</span>
-</div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/graphics/plot.default.html'>plot</a></span><span class='op'>(</span><span class='kw'>function</span><span class='op'>(</span><span class='va'>x</span><span class='op'>)</span> <span class='fu'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.08</span>, <span class='fl'>0.2</span><span class='op'>)</span>,
- from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, add <span class='op'>=</span> <span class='cn'>TRUE</span>, lty <span class='op'>=</span> <span class='fl'>5</span>, col <span class='op'>=</span> <span class='fl'>5</span><span class='op'>)</span>
-</div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/graphics/legend.html'>legend</a></span><span class='op'>(</span><span class='st'>"topright"</span>, inset <span class='op'>=</span> <span class='fl'>0.05</span>,
- legend <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/paste.html'>paste0</a></span><span class='op'>(</span><span class='st'>"k0 = "</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='fl'>0.0001</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.001</span>, <span class='fl'>0.08</span><span class='op'>)</span>,
- <span class='st'>", r = "</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='fl'>0.2</span>, <span class='fl'>0.4</span>, <span class='fl'>0.8</span>, <span class='fl'>0.2</span>, <span class='fl'>0.2</span><span class='op'>)</span><span class='op'>)</span>,
- lty <span class='op'>=</span> <span class='fl'>1</span><span class='op'>:</span><span class='fl'>5</span>, col <span class='op'>=</span> <span class='fl'>1</span><span class='op'>:</span><span class='fl'>5</span><span class='op'>)</span>
-</div><div class='img'><img src='logistic.solution-1.png' alt='' width='700' height='433' /></div><div class='input'>
- <span class='co'># Fit with synthetic data</span>
- <span class='va'>logistic</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'>"logistic"</span><span class='op'>)</span><span class='op'>)</span>
-
- <span class='va'>sampling_times</span> <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='fl'>0</span>, <span class='fl'>1</span>, <span class='fl'>3</span>, <span class='fl'>7</span>, <span class='fl'>14</span>, <span class='fl'>28</span>, <span class='fl'>60</span>, <span class='fl'>90</span>, <span class='fl'>120</span><span class='op'>)</span>
- <span class='va'>parms_logistic</span> <span class='op'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span>kmax <span class='op'>=</span> <span class='fl'>0.08</span>, k0 <span class='op'>=</span> <span class='fl'>0.0001</span>, r <span class='op'>=</span> <span class='fl'>0.2</span><span class='op'>)</span>
- <span class='va'>d_logistic</span> <span class='op'>&lt;-</span> <span class='fu'><a href='mkinpredict.html'>mkinpredict</a></span><span class='op'>(</span><span class='va'>logistic</span>,
- <span class='va'>parms_logistic</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span>parent <span class='op'>=</span> <span class='fl'>100</span><span class='op'>)</span>,
- <span class='va'>sampling_times</span><span class='op'>)</span>
- <span class='va'>d_2_1</span> <span class='op'>&lt;-</span> <span class='fu'><a href='add_err.html'>add_err</a></span><span class='op'>(</span><span class='va'>d_logistic</span>,
- sdfunc <span class='op'>=</span> <span class='kw'>function</span><span class='op'>(</span><span class='va'>x</span><span class='op'>)</span> <span class='fu'><a href='sigma_twocomp.html'>sigma_twocomp</a></span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>0.5</span>, <span class='fl'>0.07</span><span class='op'>)</span>,
- n <span class='op'>=</span> <span class='fl'>1</span>, reps <span class='op'>=</span> <span class='fl'>2</span>, digits <span class='op'>=</span> <span class='fl'>5</span>, LOD <span class='op'>=</span> <span class='fl'>0.1</span>, seed <span class='op'>=</span> <span class='fl'>123456</span><span class='op'>)</span><span class='op'>[[</span><span class='fl'>1</span><span class='op'>]</span><span class='op'>]</span>
+<a href="http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics" class="external-link">http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a></p>
+ </div>
+ <div id="see-also">
+ <h2>See also</h2>
+ <div class="dont-index"><p>Other parent solutions:
+<code><a href="DFOP.solution.html">DFOP.solution</a>()</code>,
+<code><a href="FOMC.solution.html">FOMC.solution</a>()</code>,
+<code><a href="HS.solution.html">HS.solution</a>()</code>,
+<code><a href="IORE.solution.html">IORE.solution</a>()</code>,
+<code><a href="SFO.solution.html">SFO.solution</a>()</code>,
+<code><a href="SFORB.solution.html">SFORB.solution</a>()</code></p></div>
+ </div>
- <span class='va'>m</span> <span class='op'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span><span class='op'>(</span><span class='st'>"logistic"</span>, <span class='va'>d_2_1</span>, quiet <span class='op'>=</span> <span class='cn'>TRUE</span><span class='op'>)</span>
- <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span><span class='op'>(</span><span class='va'>m</span><span class='op'>)</span>
-</div><div class='img'><img src='logistic.solution-2.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>m</span><span class='op'>)</span><span class='op'>$</span><span class='va'>bpar</span>
-</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
-#&gt; parent_0 1.057896e+02 1.9023449590 55.610120 3.768360e-16 1.016451e+02
-#&gt; kmax 6.398190e-02 0.0143201029 4.467978 3.841828e-04 3.929235e-02
-#&gt; k0 1.612775e-04 0.0005866813 0.274898 3.940351e-01 5.846688e-08
-#&gt; r 2.263946e-01 0.1718110662 1.317695 1.061043e-01 4.335843e-02
-#&gt; sigma 5.332935e+00 0.9145907310 5.830952 4.036926e-05 3.340213e+00
-#&gt; Upper
-#&gt; parent_0 109.9341588
-#&gt; kmax 0.1041853
-#&gt; k0 0.4448749
-#&gt; r 1.1821120
-#&gt; sigma 7.3256566</div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span><span class='op'>(</span><span class='va'>m</span><span class='op'>)</span><span class='op'>$</span><span class='va'>distimes</span>
-</div><div class='output co'>#&gt; DT50 DT90 DT50_k0 DT50_kmax
-#&gt; parent 36.86533 62.41511 4297.853 10.83349</div><div class='input'>
-</div></pre>
+ <div id="ref-examples">
+ <h2>Examples</h2>
+ <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span></span></span>
+<span class="r-in"><span> <span class="co"># Reproduce the plot on page 57 of FOCUS (2014)</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="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="fu">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.0001</span>, <span class="fl">0.2</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, ylim <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="fl">0</span>, <span class="fl">100</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> xlab <span class="op">=</span> <span class="st">"Time"</span>, ylab <span class="op">=</span> <span class="st">"Residue"</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="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="fu">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.0001</span>, <span class="fl">0.4</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, add <span class="op">=</span> <span class="cn">TRUE</span>, lty <span class="op">=</span> <span class="fl">2</span>, col <span class="op">=</span> <span class="fl">2</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="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="fu">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.0001</span>, <span class="fl">0.8</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, add <span class="op">=</span> <span class="cn">TRUE</span>, lty <span class="op">=</span> <span class="fl">3</span>, col <span class="op">=</span> <span class="fl">3</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="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="fu">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.001</span>, <span class="fl">0.2</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, add <span class="op">=</span> <span class="cn">TRUE</span>, lty <span class="op">=</span> <span class="fl">4</span>, col <span class="op">=</span> <span class="fl">4</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="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="fu">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.08</span>, <span class="fl">0.2</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, add <span class="op">=</span> <span class="cn">TRUE</span>, lty <span class="op">=</span> <span class="fl">5</span>, col <span class="op">=</span> <span class="fl">5</span><span class="op">)</span></span></span>
+<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/graphics/legend.html" class="external-link">legend</a></span><span class="op">(</span><span class="st">"topright"</span>, inset <span class="op">=</span> <span class="fl">0.05</span>,</span></span>
+<span class="r-in"><span> legend <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste0</a></span><span class="op">(</span><span class="st">"k0 = "</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="fl">0.0001</span>, <span class="fl">0.0001</span>, <span class="fl">0.0001</span>, <span class="fl">0.001</span>, <span class="fl">0.08</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> <span class="st">", r = "</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="fl">0.2</span>, <span class="fl">0.4</span>, <span class="fl">0.8</span>, <span class="fl">0.2</span>, <span class="fl">0.2</span><span class="op">)</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> lty <span class="op">=</span> <span class="fl">1</span><span class="op">:</span><span class="fl">5</span>, col <span class="op">=</span> <span class="fl">1</span><span class="op">:</span><span class="fl">5</span><span class="op">)</span></span></span>
+<span class="r-plt img"><img src="logistic.solution-1.png" alt="" width="700" height="433"></span>
+<span class="r-in"><span></span></span>
+<span class="r-in"><span> <span class="co"># Fit with synthetic data</span></span></span>
+<span class="r-in"><span> <span class="va">logistic</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">"logistic"</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">sampling_times</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="fl">0</span>, <span class="fl">1</span>, <span class="fl">3</span>, <span class="fl">7</span>, <span class="fl">14</span>, <span class="fl">28</span>, <span class="fl">60</span>, <span class="fl">90</span>, <span class="fl">120</span><span class="op">)</span></span></span>
+<span class="r-in"><span> <span class="va">parms_logistic</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span>kmax <span class="op">=</span> <span class="fl">0.08</span>, k0 <span class="op">=</span> <span class="fl">0.0001</span>, r <span class="op">=</span> <span class="fl">0.2</span><span class="op">)</span></span></span>
+<span class="r-in"><span> <span class="va">d_logistic</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinpredict.html">mkinpredict</a></span><span class="op">(</span><span class="va">logistic</span>,</span></span>
+<span class="r-in"><span> <span class="va">parms_logistic</span>, <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fl">100</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> <span class="va">sampling_times</span><span class="op">)</span></span></span>
+<span class="r-in"><span> <span class="va">d_2_1</span> <span class="op">&lt;-</span> <span class="fu"><a href="add_err.html">add_err</a></span><span class="op">(</span><span class="va">d_logistic</span>,</span></span>
+<span class="r-in"><span> sdfunc <span class="op">=</span> <span class="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="fu"><a href="sigma_twocomp.html">sigma_twocomp</a></span><span class="op">(</span><span class="va">x</span>, <span class="fl">0.5</span>, <span class="fl">0.07</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span> n <span class="op">=</span> <span class="fl">1</span>, reps <span class="op">=</span> <span class="fl">2</span>, digits <span class="op">=</span> <span class="fl">5</span>, LOD <span class="op">=</span> <span class="fl">0.1</span>, seed <span class="op">=</span> <span class="fl">123456</span><span class="op">)</span><span class="op">[[</span><span class="fl">1</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">m</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"logistic"</span>, <span class="va">d_2_1</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
+<span class="r-in"><span> <span class="fu"><a href="plot.mkinfit.html">plot_sep</a></span><span class="op">(</span><span class="va">m</span><span class="op">)</span></span></span>
+<span class="r-plt img"><img src="logistic.solution-2.png" alt="" width="700" height="433"></span>
+<span class="r-in"><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</span><span class="op">)</span><span class="op">$</span><span class="va">bpar</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> Estimate se_notrans t value Pr(&gt;t) Lower</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 1.057896e+02 1.9023449590 55.610120 3.768360e-16 1.016451e+02</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> kmax 6.398190e-02 0.0143201029 4.467978 3.841828e-04 3.929235e-02</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> k0 1.612775e-04 0.0005866813 0.274898 3.940351e-01 5.846688e-08</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> r 2.263946e-01 0.1718110662 1.317695 1.061043e-01 4.335843e-02</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> sigma 5.332935e+00 0.9145907310 5.830952 4.036926e-05 3.340213e+00</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> Upper</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 109.9341588</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> kmax 0.1041853</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> k0 0.4448749</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> r 1.1821120</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> sigma 7.3256566</span>
+<span class="r-in"><span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">m</span><span class="op">)</span><span class="op">$</span><span class="va">distimes</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> DT50 DT90 DT50_k0 DT50_kmax</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> parent 36.86533 62.41511 4297.853 10.83349</span>
+<span class="r-in"><span></span></span>
+</code></pre></div>
+ </div>
</div>
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