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- +<![endif]--></head><body data-spy="scroll" data-target="#toc"> + - </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"> + <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"> @@ -73,23 +18,21 @@ a decreasing rate constant." /> </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">1.0.3.9000</span> + <span class="version label label-info" data-toggle="tooltip" data-placement="bottom" title="In-development version">1.2.0</span> </span> </div> <div id="navbar" class="navbar-collapse collapse"> - <ul class="nav navbar-nav"> - <li> + <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"> + <a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" data-bs-toggle="dropdown" aria-expanded="false"> Articles <span class="caret"></span> </a> - <ul class="dropdown-menu" role="menu"> - <li> + <ul class="dropdown-menu" role="menu"><li> <a href="../articles/mkin.html">Introduction to mkin</a> </li> <li> @@ -99,12 +42,18 @@ a decreasing rate constant." /> <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> + <a href="../articles/web_only/dimethenamid_2018.html">Example evaluations of dimethenamid data from 2018 with nonlinear mixed-effects models</a> + </li> + <li> + <a href="../articles/web_only/multistart.html">Short demo of the multistart method</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/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a> + </li> + <li> <a href="../articles/twa.html">Calculation of time weighted average concentrations with mkin</a> </li> <li> @@ -113,34 +62,27 @@ a decreasing rate constant." /> <li> <a href="../articles/web_only/benchmarks.html">Some benchmark timings</a> </li> - </ul> -</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/"> + </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 --> + </ul></div><!--/.nav-collapse --> </div><!--/.container --> </div><!--/.navbar --> - </header> - -<div class="row"> + </header><div class="row"> <div class="col-md-9 contents"> <div class="page-header"> <h1>First-Order Multi-Compartment 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> + <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>FOMC.solution.Rd</code></div> </div> @@ -149,98 +91,103 @@ a decreasing rate constant." /> a decreasing rate constant.</p> </div> - <pre class="usage"><span class='fu'>FOMC.solution</span><span class='op'>(</span><span class='va'>t</span>, <span class='va'>parent_0</span>, <span class='va'>alpha</span>, <span class='va'>beta</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>alpha</th> - <td><p>Shape parameter determined by coefficient of variation of rate -constant values.</p></td> - </tr> - <tr> - <th>beta</th> - <td><p>Location parameter.</p></td> - </tr> - </table> - - <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="details"><a class="anchor" href="#details"></a>Details</h2> + <div id="ref-usage"> + <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">FOMC.solution</span><span class="op">(</span><span class="va">t</span>, <span class="va">parent_0</span>, <span class="va">alpha</span>, <span class="va">beta</span><span class="op">)</span></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>alpha</dt> +<dd><p>Shape parameter determined by coefficient of variation of rate +constant values.</p></dd> + + +<dt>beta</dt> +<dd><p>Location parameter.</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="details"> + <h2>Details</h2> <p>The form given here differs slightly from the original reference by Gustafson and Holden (1990). The parameter <code>beta</code> corresponds to 1/beta in the original equation.</p> - <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>Note</h2> - + </div> + <div id="note"> + <h2>Note</h2> <p>The solution of the FOMC kinetic model reduces to the -<code><a href='SFO.solution.html'>SFO.solution</a></code> for large values of <code>alpha</code> and -<code>beta</code> with \(k = \frac{\beta}{\alpha}\).</p> - <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2> - - <p>FOCUS (2006) “Guidance Document on Estimating Persistence +<code><a href="SFO.solution.html">SFO.solution</a></code> for large values of <code>alpha</code> and <code>beta</code> +with \(k = \frac{\beta}{\alpha}\).</p> + </div> + <div id="references"> + <h2>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, +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></p> -<p>FOCUS (2014) “Generic guidance for Estimating Persistence +<a href="http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics" class="external-link">http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a></p> +<p>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, +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> +<a href="http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics" class="external-link">http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a></p> <p>Gustafson DI and Holden LR (1990) Nonlinear pesticide dissipation in soil: A new model based on spatial variability. <em>Environmental Science and Technology</em> <b>24</b>, 1032-1038</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='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='SFORB.solution.html'>SFORB.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'>FOMC.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>10</span>, <span class='fl'>2</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'>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> -</div><div class='img'><img src='FOMC.solution-1.png' alt='' width='700' height='433' /></div><div class='input'> -</div></pre> + </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="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="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></span> +<span class="r-in"><span> <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">FOMC.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">10</span>, <span class="fl">2</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> +<span class="r-plt img"><img src="FOMC.solution-1.png" alt="" width="700" height="433"></span> +<span class="r-in"><span></span></span> +</code></pre></div> + </div> </div> <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar"> - 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