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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 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>

    <pre class="usage"><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>
    <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>alpha</th>
      <td><p>Shape parameter determined by coefficient of variation of rate
constant values.</p></td>
    </tr>
    <tr>
      <th>beta</th>
      <td><p>Location parameter.</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="details"><a class="anchor" href="#details"></a>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>
    <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="references"><a class="anchor" href="#references"></a>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://esdac.jrc.ec.europa.eu/projects/degradation-kinetics'>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>

    <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
    <pre class="examples"><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'>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'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>0</span>, <span class='fl'>100</span>))</div><div class='img'><img src='FOMC.solution-1.png' alt='' width='700' height='433' /></div><div class='input'>
</div></pre>
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  <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="#value">Value</a></li>
      <li><a href="#details">Details</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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