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authorJohannes Ranke <jranke@uni-bremen.de>2015-11-09 09:05:15 +0100
committerJohannes Ranke <jranke@uni-bremen.de>2015-11-09 09:05:15 +0100
commit3151647526f299686b68420a83ae38cd7f3d08f5 (patch)
treec061b5a23ac6cc5644c6851012105b185715ef5e /inst/web/IORE.solution.html
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+
+ <h1> Indeterminate order rate equation kinetics </h1>
+
+<div class="row">
+ <div class="span8">
+ <h2>Usage</h2>
+ <pre><div>IORE.solution(t, parent.0, k__iore, N)</div></pre>
+
+ <h2>Arguments</h2>
+ <dl>
+ <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="Description">
+ <h2>Description</h2>
+
+ <p>Function describing exponential decline from a defined starting value, with
+ a concentration dependent rate constant.</p>
+
+ </div>
+
+ <div class="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 class="Value">
+ <h2>Value</h2>
+
+ <p><dl>
+ The value of the response variable at time <code>t</code>.
+</dl></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'> plot(function(x) IORE.solution(x, 100, 0.2, 1.3), 0, 2,
+ ylim = c(0, 100))
+</div>
+<p><img src='IORE.solution-2.png' alt='' width='540' height='400' /></p>
+<div class='input'> fit.fomc &lt;- mkinfit(&quot;FOMC&quot;, FOCUS_2006_C, quiet = TRUE)
+ fit.iore &lt;- mkinfit(&quot;IORE&quot;, FOCUS_2006_C, quiet = TRUE)
+ fit.iore.deS &lt;- mkinfit(&quot;IORE&quot;, FOCUS_2006_C, solution_type = &quot;deSolve&quot;, quiet = TRUE)
+
+ print(data.frame(coef(fit.fomc), coef(fit.iore), coef(fit.iore.deS),
+ row.names = paste(&quot;model par&quot;, 1:3)))
+</div>
+<div class='output'> 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'> print(rbind(fomc = endpoints(fit.fomc)$distimes, iore = endpoints(fit.iore)$distimes,
+ iore.deS = endpoints(fit.iore)$distimes))
+</div>
+<div class='output'> 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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