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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 @@ an increasing rate constant, supposedly caused by microbial growth" /> <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 @@ an increasing rate constant, supposedly caused by microbial growth" /> <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>Logistic 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>logistic.solution.Rd</code></div> </div> @@ -149,136 +91,143 @@ an increasing rate constant, supposedly caused by microbial growth" /> an increasing rate constant, supposedly caused by microbial growth</p> </div> - <pre class="usage"><span class='fu'>logistic.solution</span><span class='op'>(</span><span class='va'>t</span>, <span class='va'>parent_0</span>, <span class='va'>kmax</span>, <span class='va'>k0</span>, <span class='va'>r</span><span class='op'>)</span></pre> + <div id="ref-usage"> + <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">logistic.solution</span><span class="op">(</span><span class="va">t</span>, <span class="va">parent_0</span>, <span class="va">kmax</span>, <span class="va">k0</span>, <span class="va">r</span><span class="op">)</span></span></code></pre></div> + </div> - <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>kmax</th> - <td><p>Maximum rate constant.</p></td> - </tr> - <tr> - <th>k0</th> - <td><p>Minimum rate constant effective at time zero.</p></td> - </tr> - <tr> - <th>r</th> - <td><p>Growth rate of the increase in the rate constant.</p></td> - </tr> - </table> + <div id="arguments"> + <h2>Arguments</h2> + <dl><dt>t</dt> +<dd><p>Time.</p></dd> - <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="note"><a class="anchor" href="#note"></a>Note</h2> +<dt>parent_0</dt> +<dd><p>Starting value for the response variable at time zero.</p></dd> - <p>The solution of the logistic model reduces to the -<code><a href='SFO.solution.html'>SFO.solution</a></code> if <code>k0</code> is equal to <code>kmax</code>.</p> - <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2> - <p>FOCUS (2006) “Guidance Document on Estimating Persistence +<dt>kmax</dt> +<dd><p>Maximum rate constant.</p></dd> + + +<dt>k0</dt> +<dd><p>Minimum rate constant effective at time zero.</p></dd> + + +<dt>r</dt> +<dd><p>Growth rate of the increase in the rate constant.</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="note"> + <h2>Note</h2> + <p>The solution of the logistic model reduces to the +<code><a href="SFO.solution.html">SFO.solution</a></code> if <code>k0</code> is equal to <code>kmax</code>.</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> -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> +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> - <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='SFORB.solution.html'>SFORB.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='co'># Reproduce the plot on page 57 of FOCUS (2014)</span> - <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'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.2</span><span class='op'>)</span>, - from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</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>, - xlab <span class='op'>=</span> <span class='st'>"Time"</span>, ylab <span class='op'>=</span> <span class='st'>"Residue"</span><span class='op'>)</span> -</div><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'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.4</span><span class='op'>)</span>, - from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, add <span class='op'>=</span> <span class='cn'>TRUE</span>, lty <span class='op'>=</span> <span class='fl'>2</span>, col <span class='op'>=</span> <span class='fl'>2</span><span class='op'>)</span> -</div><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'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.8</span><span class='op'>)</span>, - from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, add <span class='op'>=</span> <span class='cn'>TRUE</span>, lty <span class='op'>=</span> <span class='fl'>3</span>, col <span class='op'>=</span> <span class='fl'>3</span><span class='op'>)</span> -</div><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'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.001</span>, <span class='fl'>0.2</span><span class='op'>)</span>, - from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, add <span class='op'>=</span> <span class='cn'>TRUE</span>, lty <span class='op'>=</span> <span class='fl'>4</span>, col <span class='op'>=</span> <span class='fl'>4</span><span class='op'>)</span> -</div><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'>logistic.solution</span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.08</span>, <span class='fl'>0.08</span>, <span class='fl'>0.2</span><span class='op'>)</span>, - from <span class='op'>=</span> <span class='fl'>0</span>, to <span class='op'>=</span> <span class='fl'>100</span>, add <span class='op'>=</span> <span class='cn'>TRUE</span>, lty <span class='op'>=</span> <span class='fl'>5</span>, col <span class='op'>=</span> <span class='fl'>5</span><span class='op'>)</span> -</div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/graphics/legend.html'>legend</a></span><span class='op'>(</span><span class='st'>"topright"</span>, inset <span class='op'>=</span> <span class='fl'>0.05</span>, - legend <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/paste.html'>paste0</a></span><span class='op'>(</span><span class='st'>"k0 = "</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='fl'>0.0001</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.0001</span>, <span class='fl'>0.001</span>, <span class='fl'>0.08</span><span class='op'>)</span>, - <span class='st'>", r = "</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='fl'>0.2</span>, <span class='fl'>0.4</span>, <span class='fl'>0.8</span>, <span class='fl'>0.2</span>, <span class='fl'>0.2</span><span class='op'>)</span><span class='op'>)</span>, - lty <span class='op'>=</span> <span class='fl'>1</span><span class='op'>:</span><span class='fl'>5</span>, col <span class='op'>=</span> <span class='fl'>1</span><span class='op'>:</span><span class='fl'>5</span><span class='op'>)</span> -</div><div class='img'><img src='logistic.solution-1.png' alt='' width='700' height='433' /></div><div class='input'> - <span class='co'># Fit with synthetic data</span> - <span class='va'>logistic</span> <span class='op'><-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span><span class='op'>(</span>parent <span class='op'>=</span> <span class='fu'><a href='mkinmod.html'>mkinsub</a></span><span class='op'>(</span><span class='st'>"logistic"</span><span class='op'>)</span><span class='op'>)</span> - - <span class='va'>sampling_times</span> <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'>1</span>, <span class='fl'>3</span>, <span class='fl'>7</span>, <span class='fl'>14</span>, <span class='fl'>28</span>, <span class='fl'>60</span>, <span class='fl'>90</span>, <span class='fl'>120</span><span class='op'>)</span> - <span class='va'>parms_logistic</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span>kmax <span class='op'>=</span> <span class='fl'>0.08</span>, k0 <span class='op'>=</span> <span class='fl'>0.0001</span>, r <span class='op'>=</span> <span class='fl'>0.2</span><span class='op'>)</span> - <span class='va'>d_logistic</span> <span class='op'><-</span> <span class='fu'><a href='mkinpredict.html'>mkinpredict</a></span><span class='op'>(</span><span class='va'>logistic</span>, - <span class='va'>parms_logistic</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span>parent <span class='op'>=</span> <span class='fl'>100</span><span class='op'>)</span>, - <span class='va'>sampling_times</span><span class='op'>)</span> - <span class='va'>d_2_1</span> <span class='op'><-</span> <span class='fu'><a href='add_err.html'>add_err</a></span><span class='op'>(</span><span class='va'>d_logistic</span>, - sdfunc <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'><a href='sigma_twocomp.html'>sigma_twocomp</a></span><span class='op'>(</span><span class='va'>x</span>, <span class='fl'>0.5</span>, <span class='fl'>0.07</span><span class='op'>)</span>, - n <span class='op'>=</span> <span class='fl'>1</span>, reps <span class='op'>=</span> <span class='fl'>2</span>, digits <span class='op'>=</span> <span class='fl'>5</span>, LOD <span class='op'>=</span> <span class='fl'>0.1</span>, seed <span class='op'>=</span> <span class='fl'>123456</span><span class='op'>)</span><span class='op'>[[</span><span class='fl'>1</span><span class='op'>]</span><span class='op'>]</span> +<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> + </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="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="SFORB.solution.html">SFORB.solution</a>()</code></p></div> + </div> - <span class='va'>m</span> <span class='op'><-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span><span class='op'>(</span><span class='st'>"logistic"</span>, <span class='va'>d_2_1</span>, quiet <span class='op'>=</span> <span class='cn'>TRUE</span><span class='op'>)</span> - <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span><span class='op'>(</span><span class='va'>m</span><span class='op'>)</span> -</div><div class='img'><img src='logistic.solution-2.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>m</span><span class='op'>)</span><span class='op'>$</span><span class='va'>bpar</span> -</div><div class='output co'>#> Estimate se_notrans t value Pr(>t) Lower -#> parent_0 1.057896e+02 1.9023449590 55.610120 3.768360e-16 1.016451e+02 -#> kmax 6.398190e-02 0.0143201029 4.467978 3.841828e-04 3.929235e-02 -#> k0 1.612775e-04 0.0005866813 0.274898 3.940351e-01 5.846688e-08 -#> r 2.263946e-01 0.1718110662 1.317695 1.061043e-01 4.335843e-02 -#> sigma 5.332935e+00 0.9145907310 5.830952 4.036926e-05 3.340213e+00 -#> Upper -#> parent_0 109.9341588 -#> kmax 0.1041853 -#> k0 0.4448749 -#> r 1.1821120 -#> sigma 7.3256566</div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span><span class='op'>(</span><span class='va'>m</span><span class='op'>)</span><span class='op'>$</span><span class='va'>distimes</span> -</div><div class='output co'>#> DT50 DT90 DT50_k0 DT50_kmax -#> parent 36.86533 62.41511 4297.853 10.83349</div><div class='input'> -</div></pre> + <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="co"># Reproduce the plot on page 57 of FOCUS (2014)</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">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.0001</span>, <span class="fl">0.2</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</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></span> +<span class="r-in"><span> xlab <span class="op">=</span> <span class="st">"Time"</span>, ylab <span class="op">=</span> <span class="st">"Residue"</span><span class="op">)</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">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.0001</span>, <span class="fl">0.4</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, add <span class="op">=</span> <span class="cn">TRUE</span>, lty <span class="op">=</span> <span class="fl">2</span>, col <span class="op">=</span> <span class="fl">2</span><span class="op">)</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">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.0001</span>, <span class="fl">0.8</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, add <span class="op">=</span> <span class="cn">TRUE</span>, lty <span class="op">=</span> <span class="fl">3</span>, col <span class="op">=</span> <span class="fl">3</span><span class="op">)</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">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.001</span>, <span class="fl">0.2</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, add <span class="op">=</span> <span class="cn">TRUE</span>, lty <span class="op">=</span> <span class="fl">4</span>, col <span class="op">=</span> <span class="fl">4</span><span class="op">)</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">logistic.solution</span><span class="op">(</span><span class="va">x</span>, <span class="fl">100</span>, <span class="fl">0.08</span>, <span class="fl">0.08</span>, <span class="fl">0.2</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> from <span class="op">=</span> <span class="fl">0</span>, to <span class="op">=</span> <span class="fl">100</span>, add <span class="op">=</span> <span class="cn">TRUE</span>, lty <span class="op">=</span> <span class="fl">5</span>, col <span class="op">=</span> <span class="fl">5</span><span class="op">)</span></span></span> +<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/graphics/legend.html" class="external-link">legend</a></span><span class="op">(</span><span class="st">"topright"</span>, inset <span class="op">=</span> <span class="fl">0.05</span>,</span></span> +<span class="r-in"><span> legend <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste0</a></span><span class="op">(</span><span class="st">"k0 = "</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">0.0001</span>, <span class="fl">0.0001</span>, <span class="fl">0.0001</span>, <span class="fl">0.001</span>, <span class="fl">0.08</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> <span class="st">", r = "</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">0.2</span>, <span class="fl">0.4</span>, <span class="fl">0.8</span>, <span class="fl">0.2</span>, <span class="fl">0.2</span><span class="op">)</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> lty <span class="op">=</span> <span class="fl">1</span><span class="op">:</span><span class="fl">5</span>, col <span class="op">=</span> <span class="fl">1</span><span class="op">:</span><span class="fl">5</span><span class="op">)</span></span></span> +<span class="r-plt img"><img src="logistic.solution-1.png" alt="" width="700" height="433"></span> +<span class="r-in"><span></span></span> +<span class="r-in"><span> <span class="co"># Fit with synthetic data</span></span></span> +<span class="r-in"><span> <span class="va">logistic</span> <span class="op"><-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"logistic"</span><span class="op">)</span><span class="op">)</span></span></span> +<span class="r-in"><span></span></span> +<span class="r-in"><span> <span class="va">sampling_times</span> <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">1</span>, <span class="fl">3</span>, <span class="fl">7</span>, <span class="fl">14</span>, <span class="fl">28</span>, <span class="fl">60</span>, <span class="fl">90</span>, <span class="fl">120</span><span class="op">)</span></span></span> +<span class="r-in"><span> <span class="va">parms_logistic</span> <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>kmax <span class="op">=</span> <span class="fl">0.08</span>, k0 <span class="op">=</span> <span class="fl">0.0001</span>, r <span class="op">=</span> <span class="fl">0.2</span><span class="op">)</span></span></span> +<span class="r-in"><span> <span class="va">d_logistic</span> <span class="op"><-</span> <span class="fu"><a href="mkinpredict.html">mkinpredict</a></span><span class="op">(</span><span class="va">logistic</span>,</span></span> +<span class="r-in"><span> <span class="va">parms_logistic</span>, <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fl">100</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> <span class="va">sampling_times</span><span class="op">)</span></span></span> +<span class="r-in"><span> <span class="va">d_2_1</span> <span class="op"><-</span> <span class="fu"><a href="add_err.html">add_err</a></span><span class="op">(</span><span class="va">d_logistic</span>,</span></span> +<span class="r-in"><span> sdfunc <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"><a href="sigma_twocomp.html">sigma_twocomp</a></span><span class="op">(</span><span class="va">x</span>, <span class="fl">0.5</span>, <span class="fl">0.07</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> n <span class="op">=</span> <span class="fl">1</span>, reps <span class="op">=</span> <span class="fl">2</span>, digits <span class="op">=</span> <span class="fl">5</span>, LOD <span class="op">=</span> <span class="fl">0.1</span>, seed <span class="op">=</span> <span class="fl">123456</span><span class="op">)</span><span class="op">[[</span><span class="fl">1</span><span class="op">]</span><span class="op">]</span></span></span> +<span class="r-in"><span></span></span> +<span class="r-in"><span> <span class="va">m</span> <span class="op"><-</span> <span class="fu"><a href="mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="st">"logistic"</span>, <span class="va">d_2_1</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span> +<span class="r-in"><span> <span class="fu"><a href="plot.mkinfit.html">plot_sep</a></span><span class="op">(</span><span class="va">m</span><span class="op">)</span></span></span> +<span class="r-plt img"><img src="logistic.solution-2.png" alt="" width="700" height="433"></span> +<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/base/summary.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">m</span><span class="op">)</span><span class="op">$</span><span class="va">bpar</span></span></span> +<span class="r-out co"><span class="r-pr">#></span> Estimate se_notrans t value Pr(>t) Lower</span> +<span class="r-out co"><span class="r-pr">#></span> parent_0 1.057896e+02 1.9023449590 55.610120 3.768360e-16 1.016451e+02</span> +<span class="r-out co"><span class="r-pr">#></span> kmax 6.398190e-02 0.0143201029 4.467978 3.841828e-04 3.929235e-02</span> +<span class="r-out co"><span class="r-pr">#></span> k0 1.612775e-04 0.0005866813 0.274898 3.940351e-01 5.846688e-08</span> +<span class="r-out co"><span class="r-pr">#></span> r 2.263946e-01 0.1718110662 1.317695 1.061043e-01 4.335843e-02</span> +<span class="r-out co"><span class="r-pr">#></span> sigma 5.332935e+00 0.9145907310 5.830952 4.036926e-05 3.340213e+00</span> +<span class="r-out co"><span class="r-pr">#></span> Upper</span> +<span class="r-out co"><span class="r-pr">#></span> parent_0 109.9341588</span> +<span class="r-out co"><span class="r-pr">#></span> kmax 0.1041853</span> +<span class="r-out co"><span class="r-pr">#></span> k0 0.4448749</span> +<span class="r-out co"><span class="r-pr">#></span> r 1.1821120</span> +<span class="r-out co"><span class="r-pr">#></span> sigma 7.3256566</span> +<span class="r-in"><span> <span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">m</span><span class="op">)</span><span class="op">$</span><span class="va">distimes</span></span></span> +<span class="r-out co"><span class="r-pr">#></span> DT50 DT90 DT50_k0 DT50_kmax</span> +<span class="r-out co"><span class="r-pr">#></span> parent 36.86533 62.41511 4297.853 10.83349</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"> - <nav id="toc" data-toggle="toc" class="sticky-top"> - <h2 data-toc-skip>Contents</h2> - </nav> - </div> + <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> + <footer><div class="copyright"> + <p></p><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> + <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.6.</p> </div> - </footer> - </div> + </footer></div> - </body> -</html> + + </body></html> |