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<title>Single First-Order Reversible Binding kinetics — SFORB.solution • mkin</title>


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<meta property="og:title" content="Single First-Order Reversible Binding kinetics — SFORB.solution" />
<meta property="og:description" content="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." />


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    <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) &#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.ec.europa.eu/projects/degradation-kinetics'>http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a>
FOCUS (2014) &#8220;Generic guidance for Estimating Persistence
and Degradation Kinetics from Environmental Fate Studies on Pesticides in
EU Registration&#8221; 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>
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