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a concentration dependent rate constant."><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
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  <div class="col-md-9 contents">
    <div class="page-header">
    <h1>Indeterminate order rate equation 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>IORE.solution.Rd</code></div>
    </div>

    <div class="ref-description">
    <p>Function describing exponential decline from a defined starting value, with
a concentration dependent rate constant.</p>
    </div>

    <div id="ref-usage">
    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">IORE.solution</span><span class="op">(</span><span class="va">t</span>, <span class="va">parent_0</span>, <span class="va">k__iore</span>, <span class="va">N</span><span class="op">)</span></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>k__iore</dt>
<dd><p>Rate constant. Note that this depends on the concentration
units used.</p></dd>


<dt>N</dt>
<dd><p>Exponent describing the nonlinearity of the rate equation</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="note">
    <h2>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>
    </div>
    <div id="references">
    <h2>References</h2>
    <p>NAFTA Technical Working Group on Pesticides (not dated) Guidance
for Evaluating and Calculating Degradation Kinetics in Environmental Media</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="FOMC.solution.html">FOMC.solution</a>()</code>,
<code><a href="HS.solution.html">HS.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></span>
<span class="r-in"><span>  <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">IORE.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.2</span>, <span class="fl">1.3</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>
<span class="r-plt img"><img src="IORE.solution-1.png" alt="" width="700" height="433"></span>
<span class="r-in"><span>  <span class="co"># \dontrun{</span></span></span>
<span class="r-in"><span>    <span class="va">fit.fomc</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"FOMC"</span>, <span class="va">FOCUS_2006_C</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
<span class="r-in"><span>    <span class="va">fit.iore</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"IORE"</span>, <span class="va">FOCUS_2006_C</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
<span class="r-in"><span>    <span class="va">fit.iore.deS</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"IORE"</span>, <span class="va">FOCUS_2006_C</span>, solution_type <span class="op">=</span> <span class="st">"deSolve"</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span>    <span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span><span class="va">fit.fomc</span><span class="op">$</span><span class="va">par</span>, <span class="va">fit.iore</span><span class="op">$</span><span class="va">par</span>, <span class="va">fit.iore.deS</span><span class="op">$</span><span class="va">par</span>,</span></span>
<span class="r-in"><span>                     row.names <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste</a></span><span class="op">(</span><span class="st">"model par"</span>, <span class="fl">1</span><span class="op">:</span><span class="fl">4</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span></span>
<span class="r-out co"><span class="r-pr">#&gt;</span>             fit.fomc.par fit.iore.par fit.iore.deS.par</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> model par 1  85.87489063    85.874890        85.874890</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> model par 2   0.05192238    -4.826631        -4.826631</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> model par 3   0.65096665     1.949403         1.949403</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> model par 4   1.85744396     1.857444         1.857444</span>
<span class="r-in"><span>    <span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/cbind.html" class="external-link">rbind</a></span><span class="op">(</span>fomc <span class="op">=</span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">fit.fomc</span><span class="op">)</span><span class="op">$</span><span class="va">distimes</span>, iore <span class="op">=</span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">fit.iore</span><span class="op">)</span><span class="op">$</span><span class="va">distimes</span>,</span></span>
<span class="r-in"><span>                iore.deS <span class="op">=</span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">fit.iore</span><span class="op">)</span><span class="op">$</span><span class="va">distimes</span><span class="op">)</span><span class="op">)</span></span></span>
<span class="r-out co"><span class="r-pr">#&gt;</span>              DT50    DT90 DT50back</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> fomc     1.785233 15.1479 4.559973</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> iore     1.785233 15.1479 4.559973</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> iore.deS 1.785233 15.1479 4.559973</span>
<span class="r-in"><span>  <span class="co"># }</span></span></span>
<span class="r-in"><span></span></span>
</code></pre></div>
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