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<h1> Indeterminate order rate equation kinetics </h1>
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<div class="row">
<div class="col-md-9">
<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>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>
<div class="Note">
<h2>Note</h2>
<p>The solution of the IORE kinetic model reduces to the
<code>SFO.solution</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 class="Value">
<h2>Value</h2>
<p>The value of the response variable at time <code>t</code>.</p>
</div>
<div class="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>
<h2 id="examples">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='unknown-2.png' alt='' width='540' height='400' /><div class='input'> <span class='no'>fit.fomc</span> <span class='kw'><-</span> <span class='fu'>mkinfit</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'><-</span> <span class='fu'>mkinfit</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'><-</span> <span class='fu'>mkinfit</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'>#> coef.fit.fomc. coef.fit.iore. coef.fit.iore.deS.
#> model par 1 85.87489063 85.874891 85.874890
#> model par 2 0.05192238 -4.826631 -4.826631
#> 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'>endpoints</span>(<span class='no'>fit.fomc</span>)$<span class='no'>distimes</span>, <span class='kw'>iore</span> <span class='kw'>=</span> <span class='fu'>endpoints</span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>,
<span class='kw'>iore.deS</span> <span class='kw'>=</span> <span class='fu'>endpoints</span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</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></pre>
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