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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) &#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>
    

    <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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  <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="#references">References</a></li>
      
      <li><a href="#examples">Examples</a></li>
    </ul>

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