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The initial condition is a defined amount in the free fraction and no substance in the bound fraction." /> <meta name="robots" content="noindex"> <!-- mathjax --> <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></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 data-spy="scroll" data-target="#toc"> <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" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <span class="navbar-brand"> <a class="navbar-link" href="../index.html">mkin</a> <span class="version label label-info" data-toggle="tooltip" data-placement="bottom" title="In-development version">0.9.50.4</span> </span> </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/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a> </li> <li> <a href="../articles/web_only/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> <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/"> <span class="fab fa 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>Single First-Order Reversible Binding kinetics</h1> <small class="dont-index">Source: <a href='https://github.com/jranke/mkin/blob/master/R/parent_solutions.R'><code>R/parent_solutions.R</code></a></small> <div class="hidden name"><code>SFORB.solution.Rd</code></div> </div> <div class="ref-description"> <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> </div> <pre class="usage"><span class='fu'>SFORB.solution</span><span class='op'>(</span><span class='va'>t</span>, <span class='va'>parent_0</span>, <span class='va'>k_12</span>, <span class='va'>k_21</span>, <span class='va'>k_1output</span><span class='op'>)</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) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU Registration” 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.ec.europa.eu/projects/degradation-kinetics'>http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a> FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 <a href='http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics'>http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a></p> <h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>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='IORE.solution.html'>IORE.solution</a>()</code>, <code><a href='SFO.solution.html'>SFO.solution</a>()</code>, <code><a href='logistic.solution.html'>logistic.solution</a>()</code></p></div> <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2> <pre class="examples"><div class='input'> <span class='fu'><a href='https://rdrr.io/r/graphics/plot.default.html'>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'>SFORB.solution</span><span class='op'>(</span><span class='va'>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='op'>)</span>, <span class='fl'>0</span>, <span class='fl'>2</span><span class='op'>)</span> </div><div class='img'><img src='SFORB.solution-1.png' alt='' width='700' height='433' /></div><div class='input'> </div></pre> </div> <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar"> <nav id="toc" data-toggle="toc" class="sticky-top"> <h2 data-toc-skip>Contents</h2> </nav> </div> </div> <footer> <div class="copyright"> <p>Developed by Johannes Ranke.</p> </div> <div class="pkgdown"> <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.6.1.</p> </div> </footer> </div> </body> </html>