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<title> Indeterminate order rate equation kinetics  — IORE.solution • mkin</title>

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    <h1> Indeterminate order rate equation kinetics </h1>
    </div>

    
    <p>Function describing exponential decline from a defined starting value, with 
  a concentration dependent rate constant.</p>
    

    <pre><span class='fu'>IORE.solution</span>(<span class='no'>t</span>, <span class='no'>parent.0</span>, <span class='no'>k__iore</span>, <span class='no'>N</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>k__iore</dt>
      <dd> Rate constant. Note that this depends on the concentration units used. </dd>
      <dt>N</dt>
      <dd> Exponent describing the nonlinearity of the rate equation </dd>
    </dl>
    
    <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>Note</h2>

    <p>The solution of the IORE kinetic model reduces to the
  <code><a href='SFO.solution.html'>SFO.solution</a></code> if N = 1.
  The parameters of the IORE model can be transformed to equivalent parameters
  of the FOMC mode - see the NAFTA guidance for details.</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>NAFTA Technical Working Group on Pesticides (not dated) Guidance for
  Evaluating and Calculating Degradation Kinetics in Environmental 
  Media</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'>IORE.solution</span>(<span class='no'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.2</span>, <span class='fl'>1.3</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='IORE.solution-2.png' alt='' width='540' height='400' /><div class='input'>  <span class='no'>fit.fomc</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"FOMC"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
  <span class='no'>fit.iore</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"IORE"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
  <span class='no'>fit.iore.deS</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"IORE"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)

  <span class='fu'>print</span>(<span class='fu'>data.frame</span>(<span class='fu'>coef</span>(<span class='no'>fit.fomc</span>), <span class='fu'>coef</span>(<span class='no'>fit.iore</span>), <span class='fu'>coef</span>(<span class='no'>fit.iore.deS</span>),
                   <span class='kw'>row.names</span> <span class='kw'>=</span> <span class='fu'>paste</span>(<span class='st'>"model par"</span>, <span class='fl'>1</span>:<span class='fl'>3</span>)))</div><div class='output co'>#&gt;             coef.fit.fomc. coef.fit.iore. coef.fit.iore.deS.
#&gt; model par 1    85.87489063      85.874891          85.874890
#&gt; model par 2     0.05192238      -4.826631          -4.826631
#&gt; model par 3     0.65096665       1.949403           1.949403</div><div class='input'>  <span class='fu'>print</span>(<span class='fu'>rbind</span>(<span class='kw'>fomc</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.fomc</span>)$<span class='no'>distimes</span>, <span class='kw'>iore</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>,
              <span class='kw'>iore.deS</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>))</div><div class='output co'>#&gt;              DT50    DT90 DT50back
#&gt; fomc     1.785233 15.1479 4.559973
#&gt; iore     1.785233 15.1479 4.559973
#&gt; iore.deS 1.785233 15.1479 4.559973</div></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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