aboutsummaryrefslogblamecommitdiff
path: root/docs/reference/IORE.solution.html
blob: 553c38b006eb0237acb0fa263619b3b21337ddac (plain) (tree)
1
2
3
4
5
6
7
8
9







                                                                      
                                                                                    


                                                                                                                                                                               
                  
 
                                                                                                                                                                                                                







                                                                                                                                                                                                                      
                                                   











                                                                                                      
                                                    
              
                                                                            











                                                                                                         
                                                 

     



                                               

           
      
                                              





                                            



                                
 


               


                                 
                                                       
          
 






                                                                                                                                                                             
                                                                                                










                                                                                       
                                                                                
 

                                                                     

                                                                              

                                                                                   
 


                                                                                                  
 
                                                                           

                                                                   
    
 
                                                                                            
                                                                                                                                                                                                                                                                                                                                                      


                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 




                                                                                                                                                                                                                                                                                                       
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
                                                                                                                                                                                                                                                                                 

                                        
                                                    
        













                                                         



              
                             
                                     





                                                                                




               
<!-- Generated by pkgdown: do not edit by hand -->
<!DOCTYPE html>
<html>
  <head>
  <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://code.jquery.com/jquery-3.1.0.min.js" integrity="sha384-nrOSfDHtoPMzJHjVTdCopGqIqeYETSXhZDFyniQ8ZHcVy08QesyHcnOUpMpqnmWq" crossorigin="anonymous"></script>
<!-- Bootstrap -->

<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous">
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha384-Tc5IQib027qvyjSMfHjOMaLkfuWVxZxUPnCJA7l2mCWNIpG9mGCD8wGNIcPD7Txa" crossorigin="anonymous"></script>

<!-- Font Awesome icons -->
<link href="https://maxcdn.bootstrapcdn.com/font-awesome/4.6.3/css/font-awesome.min.css" rel="stylesheet" integrity="sha384-T8Gy5hrqNKT+hzMclPo118YTQO6cYprQmhrYwIiQ/3axmI1hQomh7Ud2hPOy8SP1" crossorigin="anonymous">


<!-- pkgdown -->
<link href="../pkgdown.css" rel="stylesheet">
<script src="../jquery.sticky-kit.min.js"></script>
<script src="../pkgdown.js"></script>

<!-- mathjax -->
<script src='https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML'></script>

<!--[if lt IE 9]>
<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
<![endif]-->
  </head>

  <body>
    <div class="container template-reference-topic">
      <header>
      <div class="navbar navbar-default navbar-fixed-top" role="navigation">
  <div class="container">
    <div class="navbar-header">
      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar">
        <span class="icon-bar"></span>
        <span class="icon-bar"></span>
        <span class="icon-bar"></span>
      </button>
      <a class="navbar-brand" href="../index.html">mkin</a>
    </div>
    <div id="navbar" class="navbar-collapse collapse">
      <ul class="nav navbar-nav">
        <li>
  <a href="../reference/index.html">Reference</a>
</li>
<li>
  <a href="../articles/index.html">Articles</a>
</li>
<li>
  <a href="../news/index.html">News</a>
</li>
      </ul>
      
      <ul class="nav navbar-nav navbar-right">
        <li>
  <a href="http://github.com/jranke/mkin">
    <span class="fa 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>
    </div>

    
    <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 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a> 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>
    
    <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>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>
    
    <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>

    <p>The value of the response variable at time <code>t</code>.</p>
    
    <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2>

    <p>NAFTA Technical Working Group on Pesticides (not dated) Guidance for
  Evaluating and Calculating Degradation Kinetics in Environmental 
  Media</p>
    

    <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>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='IORE.solution-2.png' alt='' width='540' height='400' /><div class='input'>  <span class='no'>fit.fomc</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></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'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></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'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></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'>#&gt;             coef.fit.fomc. coef.fit.iore. coef.fit.iore.deS.
#&gt; model par 1    85.87489063      85.874891          85.874890
#&gt; model par 2     0.05192238      -4.826631          -4.826631
#&gt; 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'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.fomc</span>)$<span class='no'>distimes</span>, <span class='kw'>iore</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>,
              <span class='kw'>iore.deS</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>))</div><div class='output co'>#&gt;              DT50    DT90 DT50back
#&gt; fomc     1.785233 15.1479 4.559973
#&gt; iore     1.785233 15.1479 4.559973
#&gt; iore.deS 1.785233 15.1479 4.559973</div></pre>
  </div>
  <div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
    <h2>Contents</h2>
    <ul class="nav nav-pills nav-stacked">
      <li><a href="#arguments">Arguments</a></li>
      
      <li><a href="#note">Note</a></li>

      <li><a href="#value">Value</a></li>

      <li><a href="#references">References</a></li>
      
      <li><a href="#examples">Examples</a></li>
    </ul>

  </div>
</div>

      <footer>
      <div class="copyright">
  <p>Developed by Johannes Ranke.</p>
</div>

<div class="pkgdown">
  <p>Site built with <a href="http://hadley.github.io/pkgdown/">pkgdown</a>.</p>
</div>

      </footer>
   </div>

  </body>
</html>

Contact - Imprint