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@@ -8,11 +8,13 @@
<title>Logistic kinetics — logistic.solution • mkin</title>
+
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-<meta property="og:title" content="Logistic kinetics — logistic.solution" />
+<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" />
+an increasing rate constant, supposedly caused by microbial growth" />
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+
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@@ -110,7 +113,6 @@
<a href="../news/index.html">News</a>
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@@ -132,14 +134,12 @@
</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>
-
+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>)</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>
@@ -164,28 +164,25 @@
<td><p>Growth rate of the increase in the rate constant.</p></td>
</tr>
</table>
-
- <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>
-
<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>
<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,
+ <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="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>
+ <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.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/graphics/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>),
@@ -221,19 +218,16 @@
#&gt; k0 0.4448750
#&gt; r 1.1821121
#&gt; sigma 7.3256566</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; DT50 DT90 DT50_k0 DT50_kmax
-#&gt; parent 36.86533 62.41511 4297.854 10.83349</div></pre>
+#&gt; parent 36.86533 62.41511 4297.854 10.83349</div><div class='input'>
+</div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
<ul class="nav nav-pills nav-stacked">
<li><a href="#arguments">Arguments</a></li>
-
- <li><a href="#note">Note</a></li>
-
<li><a href="#value">Value</a></li>
-
+ <li><a href="#note">Note</a></li>
<li><a href="#references">References</a></li>
-
<li><a href="#examples">Examples</a></li>
</ul>

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