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<h1>First-Order Multi-Compartment kinetics</h1>
<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>FOMC.solution.Rd</code></div>
</div>
<div class="ref-description">
<p>Function describing exponential decline from a defined starting value, with
a decreasing rate constant.</p>
</div>
<div id="ref-usage">
<div class="sourceCode"><pre class="sourceCode r"><code><span class="fu">FOMC.solution</span><span class="op">(</span><span class="va">t</span>, <span class="va">parent_0</span>, <span class="va">alpha</span>, <span class="va">beta</span><span class="op">)</span></code></pre></div>
</div>
<div id="arguments">
<h2>Arguments</h2>
<dl><dt>t</dt>
<dd><p>Time.</p></dd>
<dt>parent_0</dt>
<dd><p>Starting value for the response variable at time zero.</p></dd>
<dt>alpha</dt>
<dd><p>Shape parameter determined by coefficient of variation of rate
constant values.</p></dd>
<dt>beta</dt>
<dd><p>Location parameter.</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="details">
<h2>Details</h2>
<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>
</div>
<div id="note">
<h2>Note</h2>
<p>The solution of the FOMC kinetic model reduces to the
<code><a href="SFO.solution.html">SFO.solution</a></code> for large values of <code>alpha</code> and
<code>beta</code> with \(k = \frac{\beta}{\alpha}\).</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” 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" class="external-link">http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a></p>
<p>FOCUS (2014) “Generic guidance for Estimating Persistence
and Degradation Kinetics from Environmental Fate Studies on Pesticides in
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" class="external-link">http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</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>
<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="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>,
<code><a href="logistic.solution.html">logistic.solution</a>()</code></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="r-in"> <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">FOMC.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">10</span>, <span class="fl">2</span><span class="op">)</span>, <span class="fl">0</span>, <span class="fl">2</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 class="op">)</span></span>
<span class="r-plt img"><img src="FOMC.solution-1.png" alt="" width="700" height="433"></span>
<span class="r-in"></span>
</code></pre></div>
</div>
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