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authorJohannes Ranke <jranke@uni-bremen.de>2016-10-06 09:19:21 +0200
committerJohannes Ranke <jranke@uni-bremen.de>2016-10-06 09:19:21 +0200
commit38f9e15f0c972c1516ae737a2bca8d7789581bbd (patch)
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+ <h1> First-Order Multi-Compartment kinetics </h1>
+</div>
+
+<div class="row">
+ <div class="col-md-9">
+
+ <p>Function describing exponential decline from a defined starting value, with
+ a decreasing rate constant.</p>
+
+ <p>The form given here differs slightly from the original reference by Gustafson
+ and Holden (1990). The parameter <code>beta</code> corresponds to 1/beta in the
+ original equation.</p>
+
+
+ <pre><span class='fu'>FOMC.solution</span>(<span class='no'>t</span>, <span class='no'>parent.0</span>, <span class='no'>alpha</span>, <span class='no'>beta</span>)</pre>
+
+ <h2>Arguments</h2>
+ <dl class="dl-horizontal">
+ <dt>t</dt>
+ <dd> Time. </dd>
+ <dt>parent.0</dt>
+ <dd> Starting value for the response variable at time zero. </dd>
+ <dt>alpha</dt>
+ <dd>
+ Shape parameter determined by coefficient of variation of rate constant
+ values. </dd>
+ <dt>beta</dt>
+ <dd>
+ Location parameter.
+</dd>
+ </dl>
+
+ <div class="Note">
+ <h2>Note</h2>
+
+ <p>The solution of the FOMC kinetic model reduces to the
+ <code>SFO.solution</code> for large values of <code>alpha</code> and
+ <code>beta</code> with
+ \(k = \frac{\beta}{\alpha}\).</p>
+ </div>
+
+ <div class="Value">
+ <h2>Value</h2>
+
+ <p>The value of the response variable at time <code>t</code>.</p>
+ </div>
+
+ <div class="References">
+ <h2>References</h2>
+
+ <p>FOCUS (2006) &#8220;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,
+ EC Document Reference Sanco/10058/2005 version 2.0, 434 pp,
+ <a href = 'http://focus.jrc.ec.europa.eu/dk'>http://focus.jrc.ec.europa.eu/dk</a></p>
+ <p>Gustafson DI and Holden LR (1990) Nonlinear pesticide dissipation in soil: A
+ new model based on spatial variability. <em>Environmental Science and
+ Technology</em> <b>24</b>, 1032-1038</p>
+ </div>
+
+ <h2 id="examples">Examples</h2>
+ <pre class="examples"><div class='input'> <span class='fu'>plot</span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>FOMC.solution</span>(<span class='no'>x</span>, <span class='fl'>100</span>, <span class='fl'>10</span>, <span class='fl'>2</span>), <span class='fl'>0</span>, <span class='fl'>2</span>, <span class='kw'>ylim</span> <span class='kw'>=</span> <span class='fu'>c</span>(<span class='fl'>0</span>, <span class='fl'>100</span>))</div><img src='unknown-2.png' alt='' width='540' height='400' /></pre>
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