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authorJohannes Ranke <jranke@uni-bremen.de>2016-09-10 05:21:52 +0200
committerJohannes Ranke <jranke@uni-bremen.de>2016-09-10 05:55:25 +0200
commita350a16bb2c11986faf5883a2804d46b03bd7c8f (patch)
tree00ca40222b1f4c9bcffca081982e006763e697d8 /docs/IORE.solution.html
parent3b399df5231576880fd9e0ae7253064d82edfe86 (diff)
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+
+ <h1> Indeterminate order rate equation kinetics </h1>
+
+<div class="row">
+ <div class="span8">
+ <h2>Usage</h2>
+ <pre><span class="functioncall"><a href='IORE.solution.html'>IORE.solution</a></span><span class="keyword">(</span><span class="symbol">t</span><span class="keyword">,</span> <span class="symbol">parent.0</span><span class="keyword">,</span> <span class="symbol">k__iore</span><span class="keyword">,</span> <span class="symbol">N</span><span class="keyword">)</span></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'> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span><span class="keyword">(</span><span class="keyword">function</span><span class="keyword">(</span><span class="formalargs">x</span><span class="keyword">)</span> <span class="functioncall"><a href='IORE.solution.html'>IORE.solution</a></span><span class="keyword">(</span><span class="symbol">x</span><span class="keyword">,</span> <span class="number">100</span><span class="keyword">,</span> <span class="number">0.2</span><span class="keyword">,</span> <span class="number">1.3</span><span class="keyword">)</span><span class="keyword">,</span> <span class="number">0</span><span class="keyword">,</span> <span class="number">2</span><span class="keyword">,</span>
+ <span class="argument">ylim</span> <span class="argument">=</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/c'>c</a></span><span class="keyword">(</span><span class="number">0</span><span class="keyword">,</span> <span class="number">100</span><span class="keyword">)</span><span class="keyword">)</span></div>
+<p><img src='IORE.solution-2.png' alt='' width='540' height='400' /></p>
+<div class='input'> <span class="symbol">fit.fomc</span> <span class="assignement">&lt;-</span> <span class="functioncall"><a href='mkinfit.html'>mkinfit</a></span><span class="keyword">(</span><span class="string">"FOMC"</span><span class="keyword">,</span> <span class="symbol">FOCUS_2006_C</span><span class="keyword">,</span> <span class="argument">quiet</span> <span class="argument">=</span> <span class="number">TRUE</span><span class="keyword">)</span>
+ <span class="symbol">fit.iore</span> <span class="assignement">&lt;-</span> <span class="functioncall"><a href='mkinfit.html'>mkinfit</a></span><span class="keyword">(</span><span class="string">"IORE"</span><span class="keyword">,</span> <span class="symbol">FOCUS_2006_C</span><span class="keyword">,</span> <span class="argument">quiet</span> <span class="argument">=</span> <span class="number">TRUE</span><span class="keyword">)</span>
+ <span class="symbol">fit.iore.deS</span> <span class="assignement">&lt;-</span> <span class="functioncall"><a href='mkinfit.html'>mkinfit</a></span><span class="keyword">(</span><span class="string">"IORE"</span><span class="keyword">,</span> <span class="symbol">FOCUS_2006_C</span><span class="keyword">,</span> <span class="argument">solution_type</span> <span class="argument">=</span> <span class="string">"deSolve"</span><span class="keyword">,</span> <span class="argument">quiet</span> <span class="argument">=</span> <span class="number">TRUE</span><span class="keyword">)</span>
+
+ <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/print'>print</a></span><span class="keyword">(</span><span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/data.frame'>data.frame</a></span><span class="keyword">(</span><span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span><span class="keyword">(</span><span class="symbol">fit.fomc</span><span class="keyword">)</span><span class="keyword">,</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span><span class="keyword">(</span><span class="symbol">fit.iore</span><span class="keyword">)</span><span class="keyword">,</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span><span class="keyword">(</span><span class="symbol">fit.iore.deS</span><span class="keyword">)</span><span class="keyword">,</span>
+ <span class="argument">row.names</span> <span class="argument">=</span> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/paste'>paste</a></span><span class="keyword">(</span><span class="string">"model par"</span><span class="keyword">,</span> <span class="number">1</span><span class="keyword">:</span><span class="number">3</span><span class="keyword">)</span><span class="keyword">)</span><span class="keyword">)</span></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'> <span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/print'>print</a></span><span class="keyword">(</span><span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/cbind'>rbind</a></span><span class="keyword">(</span><span class="argument">fomc</span> <span class="argument">=</span> <span class="functioncall"><a href='endpoints.html'>endpoints</a></span><span class="keyword">(</span><span class="symbol">fit.fomc</span><span class="keyword">)</span><span class="keyword">$</span><span class="symbol">distimes</span><span class="keyword">,</span> <span class="argument">iore</span> <span class="argument">=</span> <span class="functioncall"><a href='endpoints.html'>endpoints</a></span><span class="keyword">(</span><span class="symbol">fit.iore</span><span class="keyword">)</span><span class="keyword">$</span><span class="symbol">distimes</span><span class="keyword">,</span>
+ <span class="argument">iore.deS</span> <span class="argument">=</span> <span class="functioncall"><a href='endpoints.html'>endpoints</a></span><span class="keyword">(</span><span class="symbol">fit.iore</span><span class="keyword">)</span><span class="keyword">$</span><span class="symbol">distimes</span><span class="keyword">)</span><span class="keyword">)</span></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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