aboutsummaryrefslogblamecommitdiff
path: root/docs/articles/FOCUS_D.html
blob: 9030710ee2298408068e828b8a1ec281844146af (plain) (tree)
1
2
3
4
5
6
7
8
               
                                                                  
      




                                                                      


                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                       

                                            
                                                                                                                                                                                                                                                                                                                                                                                                                    


                                                                               
       
      
                                            


                                                                                    

                                                                                                                               



                                      

                                                            
                                                                                                                                        
             
          
 





















                                                                                                 
                                                                                                   

         
                                                                                                                             









                                                                                                      
                                             
      







                                
                                 



                                                              
                                            




                                                             


    

                                                                                                                                                                                                                                                                                                                                                                                                                       
                                                                                                                                                                                                                        














































                                                                                                                                                                                                                                                                                                                                     
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
                                                                                                        
                                                                                                                                                                                                                                                                                                               
                                                                           
                                                                
                                                                
                                                                            
                                                                             
                                                                                                                                                                                                                                                                                                                                                                                         
                                                                                                                                                                                                                                      
                                                                                                                                                                                                                                                                                                                                                                                                                                                              
                                                                   
                                                                                                                 
                                                                                                                                                                                                                                                       
                                                                     
                                                                                                                                
                                                                                                                                                                                                                                                                                   
                                                         
                                           

                                             

             

                                                                


                                                 
                                                                       
































                                                                             
                                                                             































                                                                             







































                                                            
        
 

                                                         
 

      
 


                                     
 
                     
                                                                                     
      

               
 

  
         
       
<!DOCTYPE html>
<!-- Generated by pkgdown: do not edit by hand --><html lang="en">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<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>Example evaluation of FOCUS Example Dataset D • mkin</title>
<!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js" integrity="sha256-FgpCb/KJQlLNfOu91ta32o/NMZxltwRo8QtmkMRdAu8=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/css/bootstrap.min.css" integrity="sha256-916EbMg70RQy9LHiGkXzG8hSg9EdNy97GazNG/aiY1w=" crossorigin="anonymous">
<script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous">
<!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script><!-- sticky kit --><script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet">
<script src="../pkgdown.js"></script><meta property="og:title" content="Example evaluation of FOCUS Example Dataset D">
<meta property="og:description" content="">
<meta name="twitter:card" content="summary">
<!-- 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>
    <div class="container template-article">
      <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-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</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>
  </ul>
</li>
<li>
  <a href="../news/index.html">News</a>
</li>
      </ul>
<ul class="nav navbar-nav navbar-right"></ul>
</div>
<!--/.nav-collapse -->
  </div>
<!--/.container -->
</div>
<!--/.navbar -->

      
      </header><div class="row">
  <div class="col-md-9 contents">
    <div class="page-header toc-ignore">
      <h1>Example evaluation of FOCUS Example Dataset D</h1>
                        <h4 class="author">Johannes Ranke</h4>
            
            <h4 class="date">2019-02-26</h4>
      
      
      <div class="hidden name"><code>FOCUS_D.Rmd</code></div>

    </div>

    
    
<p>This is just a very simple vignette showing how to fit a degradation model for a parent compound with one transformation product using <code>mkin</code>. After loading the library we look at the data. We have observed concentrations in the column named <code>value</code> at the times specified in column <code>time</code> for the two observed variables named <code>parent</code> and <code>m1</code>.</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb1-1" data-line-number="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/library">library</a></span>(mkin, <span class="dt">quietly =</span> <span class="ot">TRUE</span>)</a>
<a class="sourceLine" id="cb1-2" data-line-number="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(FOCUS_<span class="dv">2006</span>_D)</a></code></pre></div>
<pre><code>##      name time  value
## 1  parent    0  99.46
## 2  parent    0 102.04
## 3  parent    1  93.50
## 4  parent    1  92.50
## 5  parent    3  63.23
## 6  parent    3  68.99
## 7  parent    7  52.32
## 8  parent    7  55.13
## 9  parent   14  27.27
## 10 parent   14  26.64
## 11 parent   21  11.50
## 12 parent   21  11.64
## 13 parent   35   2.85
## 14 parent   35   2.91
## 15 parent   50   0.69
## 16 parent   50   0.63
## 17 parent   75   0.05
## 18 parent   75   0.06
## 19 parent  100     NA
## 20 parent  100     NA
## 21 parent  120     NA
## 22 parent  120     NA
## 23     m1    0   0.00
## 24     m1    0   0.00
## 25     m1    1   4.84
## 26     m1    1   5.64
## 27     m1    3  12.91
## 28     m1    3  12.96
## 29     m1    7  22.97
## 30     m1    7  24.47
## 31     m1   14  41.69
## 32     m1   14  33.21
## 33     m1   21  44.37
## 34     m1   21  46.44
## 35     m1   35  41.22
## 36     m1   35  37.95
## 37     m1   50  41.19
## 38     m1   50  40.01
## 39     m1   75  40.09
## 40     m1   75  33.85
## 41     m1  100  31.04
## 42     m1  100  33.13
## 43     m1  120  25.15
## 44     m1  120  33.31</code></pre>
<p>Next we specify the degradation model: The parent compound degrades with simple first-order kinetics (SFO) to one metabolite named m1, which also degrades with SFO kinetics.</p>
<p>The call to mkinmod returns a degradation model. The differential equations represented in R code can be found in the character vector <code>$diffs</code> of the <code>mkinmod</code> object. If a C compiler (gcc) is installed and functional, the differential equation model will be compiled from auto-generated C code.</p>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb3-1" data-line-number="1">SFO_SFO &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">parent =</span> <span class="kw"><a href="../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"m1"</span>), <span class="dt">m1 =</span> <span class="kw"><a href="../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" data-line-number="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(SFO_SFO<span class="op">$</span>diffs)</a></code></pre></div>
<pre><code>##                                                       parent 
## "d_parent = - k_parent_sink * parent - k_parent_m1 * parent" 
##                                                           m1 
##             "d_m1 = + k_parent_m1 * parent - k_m1_sink * m1"</code></pre>
<p>We do the fitting without progress report (<code>quiet = TRUE</code>).</p>
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" data-line-number="1">fit &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(SFO_SFO, FOCUS_<span class="dv">2006</span>_D, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
<p>A plot of the fit including a residual plot for both observed variables is obtained using the <code>plot_sep</code> method for <code>mkinfit</code> objects, which shows separate graphs for all compounds and their residuals.</p>
<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" data-line-number="1"><span class="kw"><a href="../reference/plot.mkinfit.html">plot_sep</a></span>(fit, <span class="dt">lpos =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"topright"</span>, <span class="st">"bottomright"</span>))</a></code></pre></div>
<p><img src="FOCUS_D_files/figure-html/plot-1.png" width="768"></p>
<p>Confidence intervals for the parameter estimates are obtained using the <code>mkinparplot</code> function.</p>
<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" data-line-number="1"><span class="kw"><a href="../reference/mkinparplot.html">mkinparplot</a></span>(fit)</a></code></pre></div>
<p><img src="FOCUS_D_files/figure-html/plot_2-1.png" width="768"></p>
<p>A comprehensive report of the results is obtained using the <code>summary</code> method for <code>mkinfit</code> objects.</p>
<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" data-line-number="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(fit)</a></code></pre></div>
<pre><code>## mkin version used for fitting:    0.9.48.1 
## R version used for fitting:       3.5.2 
## Date of fit:     Tue Feb 26 20:25:04 2019 
## Date of summary: Tue Feb 26 20:25:04 2019 
## 
## Equations:
## d_parent/dt = - k_parent_sink * parent - k_parent_m1 * parent
## d_m1/dt = + k_parent_m1 * parent - k_m1_sink * m1
## 
## Model predictions using solution type deSolve 
## 
## Fitted with method Port using 153 model solutions performed in 0.7 s
## 
## Weighting: none
## 
## Starting values for parameters to be optimised:
##                  value   type
## parent_0      100.7500  state
## k_parent_sink   0.1000 deparm
## k_parent_m1     0.1001 deparm
## k_m1_sink       0.1002 deparm
## 
## Starting values for the transformed parameters actually optimised:
##                        value lower upper
## parent_0          100.750000  -Inf   Inf
## log_k_parent_sink  -2.302585  -Inf   Inf
## log_k_parent_m1    -2.301586  -Inf   Inf
## log_k_m1_sink      -2.300587  -Inf   Inf
## 
## Fixed parameter values:
##      value  type
## m1_0     0 state
## 
## Optimised, transformed parameters with symmetric confidence intervals:
##                   Estimate Std. Error  Lower   Upper
## parent_0            99.600    1.61400 96.330 102.900
## log_k_parent_sink   -3.038    0.07826 -3.197  -2.879
## log_k_parent_m1     -2.980    0.04124 -3.064  -2.897
## log_k_m1_sink       -5.248    0.13610 -5.523  -4.972
## 
## Parameter correlation:
##                   parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink
## parent_0           1.00000            0.6075        -0.06625       -0.1701
## log_k_parent_sink  0.60752            1.0000        -0.08740       -0.6253
## log_k_parent_m1   -0.06625           -0.0874         1.00000        0.4716
## log_k_m1_sink     -0.17006           -0.6253         0.47164        1.0000
## 
## Residual standard error: 3.211 on 36 degrees of freedom
## 
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
##                Estimate t value    Pr(&gt;t)     Lower     Upper
## parent_0      99.600000  61.720 2.024e-38 96.330000 1.029e+02
## k_parent_sink  0.047920  12.780 3.050e-15  0.040890 5.616e-02
## k_parent_m1    0.050780  24.250 3.407e-24  0.046700 5.521e-02
## k_m1_sink      0.005261   7.349 5.758e-09  0.003992 6.933e-03
## 
## Chi2 error levels in percent:
##          err.min n.optim df
## All data   6.398       4 15
## parent     6.827       3  6
## m1         4.490       1  9
## 
## Resulting formation fractions:
##                 ff
## parent_sink 0.4855
## parent_m1   0.5145
## m1_sink     1.0000
## 
## Estimated disappearance times:
##           DT50   DT90
## parent   7.023  23.33
## m1     131.761 437.70
## 
## Data:
##  time variable observed predicted   residual
##     0   parent    99.46  99.59848 -1.385e-01
##     0   parent   102.04  99.59848  2.442e+00
##     1   parent    93.50  90.23787  3.262e+00
##     1   parent    92.50  90.23787  2.262e+00
##     3   parent    63.23  74.07320 -1.084e+01
##     3   parent    68.99  74.07320 -5.083e+00
##     7   parent    52.32  49.91207  2.408e+00
##     7   parent    55.13  49.91207  5.218e+00
##    14   parent    27.27  25.01257  2.257e+00
##    14   parent    26.64  25.01257  1.627e+00
##    21   parent    11.50  12.53462 -1.035e+00
##    21   parent    11.64  12.53462 -8.946e-01
##    35   parent     2.85   3.14787 -2.979e-01
##    35   parent     2.91   3.14787 -2.379e-01
##    50   parent     0.69   0.71624 -2.624e-02
##    50   parent     0.63   0.71624 -8.624e-02
##    75   parent     0.05   0.06074 -1.074e-02
##    75   parent     0.06   0.06074 -7.382e-04
##     0       m1     0.00   0.00000  0.000e+00
##     0       m1     0.00   0.00000  0.000e+00
##     1       m1     4.84   4.80296  3.704e-02
##     1       m1     5.64   4.80296  8.370e-01
##     3       m1    12.91  13.02400 -1.140e-01
##     3       m1    12.96  13.02400 -6.400e-02
##     7       m1    22.97  25.04476 -2.075e+00
##     7       m1    24.47  25.04476 -5.748e-01
##    14       m1    41.69  36.69002  5.000e+00
##    14       m1    33.21  36.69002 -3.480e+00
##    21       m1    44.37  41.65310  2.717e+00
##    21       m1    46.44  41.65310  4.787e+00
##    35       m1    41.22  43.31312 -2.093e+00
##    35       m1    37.95  43.31312 -5.363e+00
##    50       m1    41.19  41.21831 -2.831e-02
##    50       m1    40.01  41.21831 -1.208e+00
##    75       m1    40.09  36.44704  3.643e+00
##    75       m1    33.85  36.44704 -2.597e+00
##   100       m1    31.04  31.98163 -9.416e-01
##   100       m1    33.13  31.98163  1.148e+00
##   120       m1    25.15  28.78984 -3.640e+00
##   120       m1    33.31  28.78984  4.520e+00</code></pre>
  </div>

  <div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
      </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> 1.3.0.9000.</p>
</div>
      </footer>
</div>

  

  </body>
</html>

Contact - Imprint