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<title>First-Order Multi-Compartment kinetics — FOMC.solution • mkin</title>
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<h1>First-Order Multi-Compartment kinetics</h1>
</div>
<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 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a> 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>
<h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>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>
<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="references"><a class="anchor" href="#references"></a>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://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>
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>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='FOMC.solution-2.png' alt='' width='540' height='400' /></pre>
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<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="#references">References</a></li>
<li><a href="#examples">Examples</a></li>
</ul>
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