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<meta property="og:title" content="Logistic kinetics — logistic.solution" />
<meta property="og:description" content="Function describing exponential decline from a defined starting value, with
an increasing rate constant, supposedly caused by microbial growth
Function describing exponential decline from a defined starting value, with
an increasing rate constant, supposedly caused by microbial growth" />




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    <h1>Logistic kinetics</h1>
    <small class="dont-index">Source: <a href='http://github.com/jranke/mkin/blob/master/R/logistic.solution.R'><code>R/logistic.solution.R</code></a>, <a href='http://github.com/jranke/mkin/blob/master/R/parent_solutions.R'><code>R/parent_solutions.R</code></a></small>
    <div class="hidden name"><code>logistic.solution.Rd</code></div>
    </div>

    <div class="ref-description">
    <p>Function describing exponential decline from a defined starting value, with
an increasing rate constant, supposedly caused by microbial growth</p>
<p>Function describing exponential decline from a defined starting value, with
an increasing rate constant, supposedly caused by microbial growth</p>
    </div>

    <pre class="usage"><span class='fu'>logistic.solution</span>(<span class='no'>t</span>, <span class='no'>parent_0</span>, <span class='no'>kmax</span>, <span class='no'>k0</span>, <span class='no'>r</span>)

<span class='fu'>logistic.solution</span>(<span class='no'>t</span>, <span class='no'>parent_0</span>, <span class='no'>kmax</span>, <span class='no'>k0</span>, <span class='no'>r</span>)</pre>

    <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>Minumum 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>
    <tr>
      <th>parent.0</th>
      <td><p>Starting value for the response variable at time zero.</p></td>
    </tr>
    </table>

    <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>

    <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>
<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 (2014) &#8220;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,
  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/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>ylim</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>0</span>, <span class='fl'>100</span>),
       <span class='kw'>xlab</span> <span class='kw'>=</span> <span class='st'>"Time"</span>, <span class='kw'>ylab</span> <span class='kw'>=</span> <span class='st'>"Residue"</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>add</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>2</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>2</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>add</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>3</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>3</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>add</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>4</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>4</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>add</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>5</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>5</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/graphics/legend.html'>legend</a></span>(<span class='st'>"topright"</span>, <span class='kw'>inset</span> <span class='kw'>=</span> <span class='fl'>0.05</span>,
         <span class='kw'>legend</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/paste.html'>paste0</a></span>(<span class='st'>"k0 = "</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></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='st'>", r = "</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></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='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>1</span>:<span class='fl'>5</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>1</span>:<span class='fl'>5</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='no'>logistic</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"logistic"</span>))

  <span class='no'>sampling_times</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></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='no'>parms_logistic</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='kw'>kmax</span> <span class='kw'>=</span> <span class='fl'>0.08</span>, <span class='kw'>k0</span> <span class='kw'>=</span> <span class='fl'>0.0001</span>, <span class='kw'>r</span> <span class='kw'>=</span> <span class='fl'>0.2</span>)
  <span class='no'>d_logistic</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinpredict.html'>mkinpredict</a></span>(<span class='no'>logistic</span>,
    <span class='no'>parms_logistic</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fl'>100</span>),
    <span class='no'>sampling_times</span>)
  <span class='no'>d_2_1</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='add_err.html'>add_err</a></span>(<span class='no'>d_logistic</span>,
    <span class='kw'>sdfunc</span> <span class='kw'>=</span> <span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'><a href='sigma_twocomp.html'>sigma_twocomp</a></span>(<span class='no'>x</span>, <span class='fl'>0.5</span>, <span class='fl'>0.07</span>),
    <span class='kw'>n</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>reps</span> <span class='kw'>=</span> <span class='fl'>2</span>, <span class='kw'>digits</span> <span class='kw'>=</span> <span class='fl'>5</span>, <span class='kw'>LOD</span> <span class='kw'>=</span> <span class='fl'>0.1</span>, <span class='kw'>seed</span> <span class='kw'>=</span> <span class='fl'>123456</span>)<span class='kw'>[[</span><span class='fl'>1</span>]]

  <span class='no'>m</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"logistic"</span>, <span class='no'>d_2_1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='error'>Error in (function (t, parent_0, kmax, k0, r) {    parent = parent_0 * (kmax/(kmax - k0 + k0 * exp(r * t)))^(kmax/r)})(t = c(0, 1, 1.21212121212121, 2.42424242424242, 3, 3.63636363636364, 4.84848484848485, 6.06060606060606, 7, 7.27272727272727, 8.48484848484848, 9.6969696969697, 10.9090909090909, 12.1212121212121, 13.3333333333333, 14, 14.5454545454545, 15.7575757575758, 16.969696969697, 18.1818181818182, 19.3939393939394, 20.6060606060606, 21.8181818181818, 23.030303030303, 24.2424242424242, 25.4545454545455, 26.6666666666667, 27.8787878787879, 28, 29.0909090909091, 30.3030303030303, 31.5151515151515, 32.7272727272727, 33.9393939393939, 35.1515151515152, 36.3636363636364, 37.5757575757576, 38.7878787878788, 40, 41.2121212121212, 42.4242424242424, 43.6363636363636, 44.8484848484849, 46.0606060606061, 47.2727272727273, 48.4848484848485, 49.6969696969697, 50.9090909090909, 52.1212121212121, 53.3333333333333, 54.5454545454545, 55.7575757575758, 56.969696969697, 58.1818181818182, 59.3939393939394, 60, 60.6060606060606, 61.8181818181818, 63.030303030303, 64.2424242424242, 65.4545454545455, 66.6666666666667, 67.8787878787879, 69.0909090909091, 70.3030303030303, 71.5151515151515, 72.7272727272727, 73.9393939393939, 75.1515151515152, 76.3636363636364, 77.5757575757576, 78.7878787878788, 80, 81.2121212121212, 82.4242424242424, 83.6363636363636, 84.8484848484848, 86.0606060606061, 87.2727272727273, 88.4848484848485, 89.6969696969697, 90, 90.9090909090909, 92.1212121212121, 93.3333333333333, 94.5454545454545, 95.7575757575758, 96.969696969697, 98.1818181818182, 99.3939393939394, 100.606060606061, 101.818181818182, 103.030303030303, 104.242424242424, 105.454545454545, 106.666666666667, 107.878787878788, 109.090909090909, 110.30303030303, 111.515151515152, 112.727272727273, 113.939393939394, 115.151515151515, 116.363636363636, 117.575757575758, 118.787878787879, 120), parent.0 = c(parent = 101.95687), kmax = 0.1,     k0 = 1e-04, r = 0.2): unbenutztes Argument (parent.0 = 101.95687)</span></div><div class='output co'>#&gt; <span class='message'>Timing stopped at: 0.001 0 0.001</span></div><div class='input'>  <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>m</span>)</div><div class='output co'>#&gt; <span class='error'>Error in identical(fit$err_mod, "const"): Objekt 'm' nicht gefunden</span></div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>m</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='error'>Error in summary(m): Objekt 'm' nicht gefunden</span></div><div class='input'>  <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>m</span>)$<span class='no'>distimes</span></div><div class='output co'>#&gt; <span class='error'>Error in endpoints(m): Objekt 'm' nicht gefunden</span></div><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/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>ylim</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>0</span>, <span class='fl'>100</span>),
       <span class='kw'>xlab</span> <span class='kw'>=</span> <span class='st'>"Time"</span>, <span class='kw'>ylab</span> <span class='kw'>=</span> <span class='st'>"Residue"</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>add</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>2</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>2</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>add</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>3</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>3</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>add</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>4</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>4</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/plot.html'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>logistic.solution</span>(<span class='no'>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='kw'>from</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>add</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>5</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>5</span>)</div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/graphics/legend.html'>legend</a></span>(<span class='st'>"topright"</span>, <span class='kw'>inset</span> <span class='kw'>=</span> <span class='fl'>0.05</span>,
         <span class='kw'>legend</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/paste.html'>paste0</a></span>(<span class='st'>"k0 = "</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></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='st'>", r = "</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></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='kw'>lty</span> <span class='kw'>=</span> <span class='fl'>1</span>:<span class='fl'>5</span>, <span class='kw'>col</span> <span class='kw'>=</span> <span class='fl'>1</span>:<span class='fl'>5</span>)</div><div class='img'><img src='logistic.solution-2.png' alt='' width='700' height='433' /></div><div class='input'>
  <span class='co'># Fit with synthetic data</span>
  <span class='no'>logistic</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"logistic"</span>))

  <span class='no'>sampling_times</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></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='no'>parms_logistic</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='kw'>kmax</span> <span class='kw'>=</span> <span class='fl'>0.08</span>, <span class='kw'>k0</span> <span class='kw'>=</span> <span class='fl'>0.0001</span>, <span class='kw'>r</span> <span class='kw'>=</span> <span class='fl'>0.2</span>)
  <span class='no'>d_logistic</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinpredict.html'>mkinpredict</a></span>(<span class='no'>logistic</span>,
    <span class='no'>parms_logistic</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fl'>100</span>),
    <span class='no'>sampling_times</span>)
  <span class='no'>d_2_1</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='add_err.html'>add_err</a></span>(<span class='no'>d_logistic</span>,
    <span class='kw'>sdfunc</span> <span class='kw'>=</span> <span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'><a href='sigma_twocomp.html'>sigma_twocomp</a></span>(<span class='no'>x</span>, <span class='fl'>0.5</span>, <span class='fl'>0.07</span>),
    <span class='kw'>n</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>reps</span> <span class='kw'>=</span> <span class='fl'>2</span>, <span class='kw'>digits</span> <span class='kw'>=</span> <span class='fl'>5</span>, <span class='kw'>LOD</span> <span class='kw'>=</span> <span class='fl'>0.1</span>, <span class='kw'>seed</span> <span class='kw'>=</span> <span class='fl'>123456</span>)<span class='kw'>[[</span><span class='fl'>1</span>]]

  <span class='no'>m</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"logistic"</span>, <span class='no'>d_2_1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='error'>Error in (function (t, parent_0, kmax, k0, r) {    parent = parent_0 * (kmax/(kmax - k0 + k0 * exp(r * t)))^(kmax/r)})(t = c(0, 1, 1.21212121212121, 2.42424242424242, 3, 3.63636363636364, 4.84848484848485, 6.06060606060606, 7, 7.27272727272727, 8.48484848484848, 9.6969696969697, 10.9090909090909, 12.1212121212121, 13.3333333333333, 14, 14.5454545454545, 15.7575757575758, 16.969696969697, 18.1818181818182, 19.3939393939394, 20.6060606060606, 21.8181818181818, 23.030303030303, 24.2424242424242, 25.4545454545455, 26.6666666666667, 27.8787878787879, 28, 29.0909090909091, 30.3030303030303, 31.5151515151515, 32.7272727272727, 33.9393939393939, 35.1515151515152, 36.3636363636364, 37.5757575757576, 38.7878787878788, 40, 41.2121212121212, 42.4242424242424, 43.6363636363636, 44.8484848484849, 46.0606060606061, 47.2727272727273, 48.4848484848485, 49.6969696969697, 50.9090909090909, 52.1212121212121, 53.3333333333333, 54.5454545454545, 55.7575757575758, 56.969696969697, 58.1818181818182, 59.3939393939394, 60, 60.6060606060606, 61.8181818181818, 63.030303030303, 64.2424242424242, 65.4545454545455, 66.6666666666667, 67.8787878787879, 69.0909090909091, 70.3030303030303, 71.5151515151515, 72.7272727272727, 73.9393939393939, 75.1515151515152, 76.3636363636364, 77.5757575757576, 78.7878787878788, 80, 81.2121212121212, 82.4242424242424, 83.6363636363636, 84.8484848484848, 86.0606060606061, 87.2727272727273, 88.4848484848485, 89.6969696969697, 90, 90.9090909090909, 92.1212121212121, 93.3333333333333, 94.5454545454545, 95.7575757575758, 96.969696969697, 98.1818181818182, 99.3939393939394, 100.606060606061, 101.818181818182, 103.030303030303, 104.242424242424, 105.454545454545, 106.666666666667, 107.878787878788, 109.090909090909, 110.30303030303, 111.515151515152, 112.727272727273, 113.939393939394, 115.151515151515, 116.363636363636, 117.575757575758, 118.787878787879, 120), parent.0 = c(parent = 101.95687), kmax = 0.1,     k0 = 1e-04, r = 0.2): unbenutztes Argument (parent.0 = 101.95687)</span></div><div class='output co'>#&gt; <span class='message'>Timing stopped at: 0 0 0</span></div><div class='input'>  <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>m</span>)</div><div class='output co'>#&gt; <span class='error'>Error in identical(fit$err_mod, "const"): Objekt 'm' nicht gefunden</span></div><div class='input'>  <span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>m</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='error'>Error in summary(m): Objekt 'm' nicht gefunden</span></div><div class='input'>  <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>m</span>)$<span class='no'>distimes</span></div><div class='output co'>#&gt; <span class='error'>Error in endpoints(m): Objekt 'm' nicht gefunden</span></div><div class='input'>
</div></pre>
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