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<h1>Indeterminate order rate equation kinetics</h1>
<small class="dont-index">Source: <a href='https://github.com/jranke/mkin/blob/master/R/parent_solutions.R'><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>
<pre class="usage"><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></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>k__iore</th>
<td><p>Rate constant. Note that this depends on the concentration
units used.</p></td>
</tr>
<tr>
<th>N</th>
<td><p>Exponent describing the nonlinearity of the rate equation</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="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="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="see-also"><a class="anchor" href="#see-also"></a>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>
<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.default.html'>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'>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>
</div><div class='img'><img src='IORE.solution-1.png' alt='' width='700' height='433' /></div><div class='input'> <span class='co'># \dontrun{</span>
<span class='va'>fit.fomc</span> <span class='op'><-</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 class='va'>fit.iore</span> <span class='op'><-</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 class='va'>fit.iore.deS</span> <span class='op'><-</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 class='fu'><a href='https://rdrr.io/r/base/print.html'>print</a></span><span class='op'>(</span><span class='fu'><a href='https://rdrr.io/r/base/data.frame.html'>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'>$</span><span class='va'>par</span>,
row.names <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/paste.html'>paste</a></span><span class='op'>(</span><span class='st'>"model par"</span>, <span class='fl'>1</span><span class='op'>:</span><span class='fl'>4</span><span class='op'>)</span><span class='op'>)</span><span class='op'>)</span>
</div><div class='output co'>#> fit.fomc.par fit.iore.par fit.iore.deS.par
#> model par 1 85.87489063 85.874890 85.874890
#> model par 2 0.05192238 -4.826631 -4.826631
#> model par 3 0.65096665 1.949403 1.949403
#> model par 4 1.85744396 1.857444 1.857444</div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/base/print.html'>print</a></span><span class='op'>(</span><span class='fu'><a href='https://rdrr.io/r/base/cbind.html'>rbind</a></span><span class='op'>(</span>fomc <span class='op'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span><span class='op'>(</span><span class='va'>fit.fomc</span><span class='op'>)</span><span class='op'>$</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'>$</span><span class='va'>distimes</span>,
iore.deS <span class='op'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span><span class='op'>(</span><span class='va'>fit.iore</span><span class='op'>)</span><span class='op'>$</span><span class='va'>distimes</span><span class='op'>)</span><span class='op'>)</span>
</div><div class='output co'>#> DT50 DT90 DT50back
#> fomc 1.785233 15.1479 4.559973
#> iore 1.785233 15.1479 4.559973
#> iore.deS 1.785233 15.1479 4.559973</div><div class='input'> <span class='co'># }</span>
</div></pre>
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