aboutsummaryrefslogblamecommitdiff
path: root/docs/reference/SFORB.solution.html
blob: 112e157dfe08ea97fa0ec0b66a6cba1e41f3e185 (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>Single First-Order Reversible Binding kinetics — SFORB.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://mathjax.rstudio.com/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">Functions and data</a>
</li>
<li class="dropdown">
  <a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" aria-expanded="false">
    Articles
     
    <span class="caret"></span>
  </a>
  <ul class="dropdown-menu" role="menu">
    <li>
      <a href="../articles/mkin.html">Introduction to mkin</a>
    </li>
    <li>
      <a href="../articles/FOCUS_D.html">Example evaluation of FOCUS Example Dataset D</a>
    </li>
    <li>
      <a href="../articles/FOCUS_L.html">Example evaluation of FOCUS Laboratory Data L1 to L3</a>
    </li>
    <li>
      <a href="../articles/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a>
    </li>
    <li>
      <a href="../articles/twa.html">Calculation of time weighted average concentrations with mkin</a>
    </li>
  </ul>
</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>Single First-Order Reversible Binding kinetics</h1>
    </div>

    
    <p>Function describing the solution of the differential equations describing
  the kinetic model with first-order terms for a two-way transfer from a free
  to a bound fraction, and a first-order degradation term for the free
  fraction.  The initial condition is a defined amount in the free fraction and
  no substance in the bound fraction.</p>
    

    <pre class="usage"><span class='fu'>SFORB.solution</span>(<span class='no'>t</span>, <span class='no'>parent.0</span>, <span class='no'>k_12</span>, <span class='no'>k_21</span>, <span class='no'>k_1output</span>)</pre>
    
    <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a> Arguments</h2>
    <table class="ref-arguments">
    <colgroup><col class="name" /><col class="desc" /></colgroup>
    <tr>
      <th>t</th>
      <td><p>Time.</p></td>
    </tr>
    <tr>
      <th>parent.0</th>
      <td><p>Starting value for the response variable at time zero.</p></td>
    </tr>
    <tr>
      <th>k_12</th>
      <td><p>Kinetic constant describing transfer from free to bound.</p></td>
    </tr>
    <tr>
      <th>k_21</th>
      <td><p>Kinetic constant describing transfer from bound to free.</p></td>
    </tr>
    <tr>
      <th>k_1output</th>
      <td><p>Kinetic constant describing degradation of the free fraction.</p></td>
    </tr>
    </table>
    
    <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>

    <p>The value of the response variable, which is the sum of free and bound 
  fractions at time <code>t</code>.</p>
    
    <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2>

    <p>FOCUS (2006) &#8220;Guidance Document on Estimating Persistence and
  Degradation Kinetics from Environmental Fate Studies on Pesticides in EU
  Registration&#8221; Report of the FOCUS Work Group on Degradation Kinetics,
  EC Document Reference Sanco/10058/2005 version 2.0, 434 pp,
  <a href = 'http://esdac.jrc.europa.eu/projects/degradation-kinetics'>http://esdac.jrc.europa.eu/projects/degradation-kinetics</a></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'>SFORB.solution</span>(<span class='no'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.5</span>, <span class='fl'>2</span>, <span class='fl'>3</span>), <span class='fl'>0</span>, <span class='fl'>2</span>)</div><img src='SFORB.solution-2.png' alt='' width='540' height='400' /></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="#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