<!DOCTYPE html> <!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Indeterminate order rate equation kinetics — IORE.solution • mkin</title><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/css/bootstrap.min.css" integrity="sha256-bZLfwXAP04zRMK2BjiO8iu9pf4FbLqX6zitd+tIvLhE=" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- 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weighted average concentrations with mkin</a> </li> <li> <a href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a> </li> <li> <a href="../articles/web_only/benchmarks.html">Some benchmark timings</a> </li> </ul></li> <li> <a href="../news/index.html">News</a> </li> </ul><ul class="nav navbar-nav navbar-right"><li> <a href="https://github.com/jranke/mkin/" class="external-link"> <span class="fab fa-github fa-lg"></span> </a> </li> </ul></div><!--/.nav-collapse --> </div><!--/.container --> </div><!--/.navbar --> </header><div class="row"> <div class="col-md-9 contents"> <div class="page-header"> <h1>Indeterminate order rate equation kinetics</h1> <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/parent_solutions.R" class="external-link"><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> <div id="ref-usage"> <div class="sourceCode"><pre class="sourceCode r"><code><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></code></pre></div> </div> <div id="arguments"> <h2>Arguments</h2> <dl><dt>t</dt> <dd><p>Time.</p></dd> <dt>parent_0</dt> <dd><p>Starting value for the response variable at time zero.</p></dd> <dt>k__iore</dt> <dd><p>Rate constant. Note that this depends on the concentration units used.</p></dd> <dt>N</dt> <dd><p>Exponent describing the nonlinearity of the rate equation</p></dd> </dl></div> <div id="value"> <h2>Value</h2> <p>The value of the response variable at time <code>t</code>.</p> </div> <div id="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 id="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> <div id="see-also"> <h2>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> </div> <div id="ref-examples"> <h2>Examples</h2> <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"></span> <span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">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" class="external-link">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></span> <span class="r-plt img"><img src="IORE.solution-1.png" alt="" width="700" height="433"></span> <span class="r-in"> <span class="co"># \dontrun{</span></span> <span class="r-in"> <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> <span class="r-in"> <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> <span class="r-in"> <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> <span class="r-in"></span> <span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">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">$</span><span class="va">par</span>, </span> <span class="r-in"> row.names <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste</a></span><span class="op">(</span><span class="st">"model par"</span>, <span class="fl">1</span><span class="op">:</span><span class="fl">4</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span> <span class="r-out co"><span class="r-pr">#></span> fit.fomc.par fit.iore.par fit.iore.deS.par</span> <span class="r-out co"><span class="r-pr">#></span> model par 1 85.87489063 85.874890 85.874891</span> <span class="r-out co"><span class="r-pr">#></span> model par 2 0.05192238 -4.826631 -4.826631</span> <span class="r-out co"><span class="r-pr">#></span> model par 3 0.65096665 1.949403 1.949403</span> <span class="r-out co"><span class="r-pr">#></span> model par 4 1.85744396 1.857444 1.857444</span> <span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/cbind.html" class="external-link">rbind</a></span><span class="op">(</span>fomc <span class="op">=</span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">fit.fomc</span><span class="op">)</span><span class="op">$</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">$</span><span class="va">distimes</span>, </span> <span class="r-in"> iore.deS <span class="op">=</span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">fit.iore</span><span class="op">)</span><span class="op">$</span><span class="va">distimes</span><span class="op">)</span><span class="op">)</span></span> <span class="r-out co"><span class="r-pr">#></span> DT50 DT90 DT50back</span> <span class="r-out co"><span class="r-pr">#></span> fomc 1.785233 15.1479 4.559973</span> <span class="r-out co"><span class="r-pr">#></span> iore 1.785233 15.1479 4.559973</span> <span class="r-out co"><span class="r-pr">#></span> iore.deS 1.785233 15.1479 4.559973</span> <span class="r-in"> <span class="co"># }</span></span> <span class="r-in"></span> </code></pre></div> </div> </div> <div class="col-md-3 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