<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>IORE.solution. mkin 0.9.41.9000</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="author" content="">
<link href="css/bootstrap.css" rel="stylesheet">
<link href="css/bootstrap-responsive.css" rel="stylesheet">
<link href="css/highlight.css" rel="stylesheet">
<link href="css/staticdocs.css" rel="stylesheet">
<!--[if lt IE 9]>
<script src="http://html5shim.googlecode.com/svn/trunk/html5.js"></script>
<![endif]-->
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
tex2jax: {
inlineMath: [ ['$','$'], ["\\(","\\)"] ],
processEscapes: true
}
});
</script>
<script type="text/javascript"
src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
</script>
</head>
<body>
<div class="navbar">
<div class="navbar-inner">
<div class="container">
<a class="brand" href="#">mkin 0.9.41.9000</a>
<div class="nav">
<ul class="nav">
<li><a href="index.html"><i class="icon-home icon-white"></i> Index</a></li>
</ul>
</div>
</div>
</div>
</div>
<div class="container">
<header>
</header>
<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 <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
fit.iore <- mkinfit("IORE", FOCUS_2006_C, quiet = TRUE)
fit.iore.deS <- mkinfit("IORE", FOCUS_2006_C, solution_type = "deSolve", quiet = TRUE)
print(data.frame(coef(fit.fomc), coef(fit.iore), coef(fit.iore.deS),
row.names = paste("model par", 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>
</div>
<div class="span4">
<!-- <ul>
<li>IORE.solution</li>
</ul>
<ul>
<li> manip </li>
</ul> -->
</div>
</div>
<footer>
<p class="pull-right"><a href="#">Back to top</a></p>
<p>Built by <a href="https://github.com/hadley/staticdocs">staticdocs</a>. Styled with <a href="http://twitter.github.com/bootstrap">bootstrap</a>.</p>
</footer>
</div>
</body>
</html>
