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authorJohannes Ranke <jranke@uni-bremen.de>2016-10-06 09:40:35 +0200
committerJohannes Ranke <jranke@uni-bremen.de>2016-10-06 09:40:35 +0200
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-
- <h1>
- Fit a kinetic model to data with one or more state variables
-</h1>
-
-<div class="row">
- <div class="span8">
- <h2>Usage</h2>
- <pre><span class="functioncall"><a href='mkinfit.html'>mkinfit</a></span><span class="keyword">(</span><span class="symbol">mkinmod</span><span class="keyword">,</span> <span class="symbol">observed</span><span class="keyword">,</span>
- <span class="argument">parms.ini</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="string">"auto"</span><span class="keyword">,</span>
- <span class="argument">state.ini</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="string">"auto"</span><span class="keyword">,</span>
- <span class="argument">fixed_parms</span>&nbsp;<span class="argument">=</span>&nbsp;NULL<span class="keyword">,</span> <span class="argument">fixed_initials</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/names'>names</a></span><span class="keyword">(</span><span class="symbol">mkinmod</span><span class="keyword">$</span><span class="symbol">diffs</span><span class="keyword">)</span><span class="keyword">[</span><span class="keyword">-</span><span class="number">1</span><span class="keyword">]</span><span class="keyword">,</span>
- <span class="argument">from_max_mean</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">FALSE</span><span class="keyword">,</span>
- <span class="argument">solution_type</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/c'>c</a></span><span class="keyword">(</span><span class="string">"auto"</span><span class="keyword">,</span> <span class="string">"analytical"</span><span class="keyword">,</span> <span class="string">"eigen"</span><span class="keyword">,</span> <span class="string">"deSolve"</span><span class="keyword">)</span><span class="keyword">,</span>
- <span class="argument">method.ode</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="string">"lsoda"</span><span class="keyword">,</span>
- <span class="argument">use_compiled</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="string">"auto"</span><span class="keyword">,</span>
- <span class="argument">method.modFit</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/c'>c</a></span><span class="keyword">(</span><span class="string">"Port"</span><span class="keyword">,</span> <span class="string">"Marq"</span><span class="keyword">,</span> <span class="string">"SANN"</span><span class="keyword">,</span> <span class="string">"Nelder-Mead"</span><span class="keyword">,</span> <span class="string">"BFGS"</span><span class="keyword">,</span> <span class="string">"CG"</span><span class="keyword">,</span> <span class="string">"L-BFGS-B"</span><span class="keyword">)</span><span class="keyword">,</span>
- <span class="argument">maxit.modFit</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="string">"auto"</span><span class="keyword">,</span>
- <span class="argument">control.modFit</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/list'>list</a></span><span class="keyword">(</span><span class="keyword">)</span><span class="keyword">,</span>
- <span class="argument">transform_rates</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">TRUE</span><span class="keyword">,</span>
- <span class="argument">transform_fractions</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">TRUE</span><span class="keyword">,</span>
- <span class="argument">plot</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">FALSE</span><span class="keyword">,</span> <span class="argument">quiet</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">FALSE</span><span class="keyword">,</span> <span class="argument">err</span>&nbsp;<span class="argument">=</span>&nbsp;NULL<span class="keyword">,</span> <span class="argument">weight</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="string">"none"</span><span class="keyword">,</span>
- <span class="argument">scaleVar</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">FALSE</span><span class="keyword">,</span>
- <span class="argument">atol</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">1e-8</span><span class="keyword">,</span> <span class="argument">rtol</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">1e-10</span><span class="keyword">,</span> <span class="argument">n.outtimes</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">100</span><span class="keyword">,</span>
- <span class="argument">reweight.method</span>&nbsp;<span class="argument">=</span>&nbsp;NULL<span class="keyword">,</span>
- <span class="argument">reweight.tol</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">1e-8</span><span class="keyword">,</span> <span class="argument">reweight.max.iter</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">10</span><span class="keyword">,</span>
- <span class="argument">trace_parms</span>&nbsp;<span class="argument">=</span>&nbsp;<span class="number">FALSE</span><span class="keyword">,</span> <span class="symbol">...</span><span class="keyword">)</span></pre>
-
- <h2>Arguments</h2>
- <dl>
- <dt>mkinmod</dt>
- <dd>
- A list of class <code><a href='mkinmod.html'>mkinmod</a></code>, containing the kinetic model to be
- fitted to the data, or one of the shorthand names (&quot;SFO&quot;, &quot;FOMC&quot;, &quot;DFOP&quot;,
- &quot;HS&quot;, &quot;SFORB&quot;). If a shorthand name is given, a parent only degradation
- model is generated for the variable with the highest value in
- <code>observed</code>.
- </dd>
- <dt>observed</dt>
- <dd>
- The observed data. It has to be in the long format as described in
- <code><a href='http://www.rdocumentation.org/packages/FME/topics/modFit'>modFit</a></code>, i.e. the first column called &quot;name&quot; must contain the
- name of the observed variable for each data point. The second column must
- contain the times of observation, named &quot;time&quot;. The third column must be
- named &quot;value&quot; and contain the observed values. Optionally, a further column
- can contain weights for each data point. Its name must be passed as a
- further argument named <code>err</code> which is then passed on to
- <code><a href='http://www.rdocumentation.org/packages/FME/topics/modFit'>modFit</a></code>.
- </dd>
- <dt>parms.ini</dt>
- <dd>
- A named vector of initial values for the parameters, including parameters
- to be optimised and potentially also fixed parameters as indicated by
- <code>fixed_parms</code>. If set to &quot;auto&quot;, initial values for rate constants
- are set to default values. Using parameter names that are not in the model
- gives an error.
-
- It is possible to only specify a subset of the parameters that the model
- needs. You can use the parameter lists &quot;bparms.ode&quot; from a previously
- fitted model, which contains the differential equation parameters from this
- model. This works nicely if the models are nested. An example is given
- below.
- </dd>
- <dt>state.ini</dt>
- <dd>
- A named vector of initial values for the state variables of the model. In
- case the observed variables are represented by more than one model
- variable, the names will differ from the names of the observed variables
- (see <code>map</code> component of <code><a href='mkinmod.html'>mkinmod</a></code>). The default is to set
- the initial value of the first model variable to the mean of the time zero
- values for the variable with the maximum observed value, and all others to 0.
- If this variable has no time zero observations, its initial value is set to 100.
- </dd>
- <dt>fixed_parms</dt>
- <dd>
- The names of parameters that should not be optimised but rather kept at the
- values specified in <code>parms.ini</code>.
- </dd>
- <dt>fixed_initials</dt>
- <dd>
- The names of model variables for which the initial state at time 0 should
- be excluded from the optimisation. Defaults to all state variables except
- for the first one.
- </dd>
- <dt>from_max_mean</dt>
- <dd>
- If this is set to TRUE, and the model has only one observed variable, then
- data before the time of the maximum observed value (after averaging for each
- sampling time) are discarded, and this time is subtracted from all
- remaining time values, so the time of the maximum observed mean value is
- the new time zero.
- </dd>
- <dt>solution_type</dt>
- <dd>
- If set to &quot;eigen&quot;, the solution of the system of differential equations is
- based on the spectral decomposition of the coefficient matrix in cases that
- this is possible. If set to &quot;deSolve&quot;, a numerical ode solver from package
- <code><a href='http://www.rdocumentation.org/packages/deSolve/topics/deSolve'>deSolve</a></code> is used. If set to &quot;analytical&quot;, an analytical
- solution of the model is used. This is only implemented for simple
- degradation experiments with only one state variable, i.e. with no
- metabolites. The default is &quot;auto&quot;, which uses &quot;analytical&quot; if possible,
- otherwise &quot;eigen&quot; if the model can be expressed using eigenvalues and
- eigenvectors, and finally &quot;deSolve&quot; for the remaining models (time
- dependence of degradation rates and metabolites). This argument is passed
- on to the helper function <code><a href='mkinpredict.html'>mkinpredict</a></code>.
- </dd>
- <dt>method.ode</dt>
- <dd>
- The solution method passed via <code><a href='mkinpredict.html'>mkinpredict</a></code> to
- <code><a href='http://www.rdocumentation.org/packages/deSolve/topics/ode'>ode</a></code> in case the solution type is &quot;deSolve&quot;. The default
- &quot;lsoda&quot; is performant, but sometimes fails to converge.
- </dd>
- <dt>use_compiled</dt>
- <dd>
- If set to <code>FALSE</code>, no compiled version of the <code><a href='mkinmod.html'>mkinmod</a></code>
- model is used, in the calls to <code><a href='mkinpredict.html'>mkinpredict</a></code> even if
- a compiled verion is present.
- </dd>
- <dt>method.modFit</dt>
- <dd>
- The optimisation method passed to <code><a href='http://www.rdocumentation.org/packages/FME/topics/modFit'>modFit</a></code>.
-
- In order to optimally deal with problems where local minima occur, the
- &quot;Port&quot; algorithm is now used per default as it is less prone to get trapped
- in local minima and depends less on starting values for parameters than
- the Levenberg Marquardt variant selected by &quot;Marq&quot;. However, &quot;Port&quot; needs
- more iterations.
-
- The former default &quot;Marq&quot; is the Levenberg Marquardt algorithm
- <code><a href='http://www.rdocumentation.org/packages/minpack.lm/topics/nls.lm'>nls.lm</a></code> from the package <code>minpack.lm</code> and usually needs
- the least number of iterations.
-
- The &quot;Pseudo&quot; algorithm is not included because it needs finite parameter bounds
- which are currently not supported.
-
- The &quot;Newton&quot; algorithm is not included because its number of iterations
- can not be controlled by <code>control.modFit</code> and it does not appear
- to provide advantages over the other algorithms.
- </dd>
- <dt>maxit.modFit</dt>
- <dd>
- Maximum number of iterations in the optimisation. If not &quot;auto&quot;, this will
- be passed to the method called by <code><a href='http://www.rdocumentation.org/packages/FME/topics/modFit'>modFit</a></code>, overriding
- what may be specified in the next argument <code>control.modFit</code>.
- </dd>
- <dt>control.modFit</dt>
- <dd>
- Additional arguments passed to the optimisation method used by
- <code><a href='http://www.rdocumentation.org/packages/FME/topics/modFit'>modFit</a></code>.
- </dd>
- <dt>transform_rates</dt>
- <dd>
- Boolean specifying if kinetic rate constants should be transformed in the
- model specification used in the fitting for better compliance with the
- assumption of normal distribution of the estimator. If TRUE, also
- alpha and beta parameters of the FOMC model are log-transformed, as well
- as k1 and k2 rate constants for the DFOP and HS models and the break point
- tb of the HS model.
- If FALSE, zero is used as a lower bound for the rates in the optimisation.
- </dd>
- <dt>transform_fractions</dt>
- <dd>
- Boolean specifying if formation fractions constants should be transformed in the
- model specification used in the fitting for better compliance with the
- assumption of normal distribution of the estimator. The default (TRUE) is
- to do transformations. If TRUE, the g parameter of the DFOP and HS
- models are also transformed, as they can also be seen as compositional
- data. The transformation used for these transformations is the
- <code><a href='ilr.html'>ilr</a></code> transformation.
- </dd>
- <dt>plot</dt>
- <dd>
- Should the observed values and the numerical solutions be plotted at each
- stage of the optimisation?
- </dd>
- <dt>quiet</dt>
- <dd>
- Suppress printing out the current model cost after each improvement?
- </dd>
- <dt>err </dt>
- <dd>either <code>NULL</code>, or the name of the column with the
- <em>error</em> estimates, used to weigh the residuals (see details of
- <code><a href='http://www.rdocumentation.org/packages/FME/topics/modCost'>modCost</a></code>); if <code>NULL</code>, then the residuals are not weighed.
- </dd>
- <dt>weight</dt>
- <dd>
- only if <code>err</code>=<code>NULL</code>: how to weight the residuals, one of &quot;none&quot;,
- &quot;std&quot;, &quot;mean&quot;, see details of <code><a href='http://www.rdocumentation.org/packages/FME/topics/modCost'>modCost</a></code>.
- </dd>
- <dt>scaleVar</dt>
- <dd>
- Will be passed to <code><a href='http://www.rdocumentation.org/packages/FME/topics/modCost'>modCost</a></code>. Default is not to scale Variables
- according to the number of observations.
- </dd>
- <dt>atol</dt>
- <dd>
- Absolute error tolerance, passed to <code><a href='http://www.rdocumentation.org/packages/deSolve/topics/ode'>ode</a></code>. Default is 1e-8,
- lower than in <code><a href='http://www.rdocumentation.org/packages/deSolve/topics/lsoda'>lsoda</a></code>.
- </dd>
- <dt>rtol</dt>
- <dd>
- Absolute error tolerance, passed to <code><a href='http://www.rdocumentation.org/packages/deSolve/topics/ode'>ode</a></code>. Default is 1e-10,
- much lower than in <code><a href='http://www.rdocumentation.org/packages/deSolve/topics/lsoda'>lsoda</a></code>.
- </dd>
- <dt>n.outtimes</dt>
- <dd>
- The length of the dataseries that is produced by the model prediction
- function <code><a href='mkinpredict.html'>mkinpredict</a></code>. This impacts the accuracy of
- the numerical solver if that is used (see <code>solution_type</code> argument.
- The default value is 100.
- </dd>
- <dt>reweight.method</dt>
- <dd>
- The method used for iteratively reweighting residuals, also known
- as iteratively reweighted least squares (IRLS). Default is NULL,
- the other method implemented is called &quot;obs&quot;, meaning that each
- observed variable is assumed to have its own variance, this is
- estimated from the fit and used for weighting the residuals
- in each iteration until convergence of this estimate up to
- <code>reweight.tol</code> or up to the maximum number of iterations
- specified by <code>reweight.max.iter</code>.
- </dd>
- <dt>reweight.tol</dt>
- <dd>
- Tolerance for convergence criterion for the variance components
- in IRLS fits.
- </dd>
- <dt>reweight.max.iter</dt>
- <dd>
- Maximum iterations in IRLS fits.
- </dd>
- <dt>trace_parms</dt>
- <dd>
- Should a trace of the parameter values be listed?
- </dd>
- <dt>...</dt>
- <dd>
- Further arguments that will be passed to <code><a href='http://www.rdocumentation.org/packages/FME/topics/modFit'>modFit</a></code>.
- </dd>
- </dl>
-
- <div class="Description">
- <h2>Description</h2>
-
- <p>This function uses the Flexible Modelling Environment package
- <code><a href='http://www.rdocumentation.org/packages/FME/topics/FME'>FME</a></code> to create a function calculating the model cost, i.e. the
- deviation between the kinetic model and the observed data. This model cost is
- then minimised using the Port algorithm <code><a href='http://www.rdocumentation.org/packages/stats/topics/nlminb'>nlminb</a></code>,
- using the specified initial or fixed parameters and starting values.
- Per default, parameters in the kinetic models are internally transformed in order
- to better satisfy the assumption of a normal distribution of their estimators.
- In each step of the optimsation, the kinetic model is solved using the
- function <code><a href='mkinpredict.html'>mkinpredict</a></code>. The variance of the residuals for each
- observed variable can optionally be iteratively reweighted until convergence
- using the argument <code>reweight.method = &quot;obs&quot;</code>.</p>
-
- </div>
-
- <div class="Value">
- <h2>Value</h2>
-
- <p><dl>
- A list with &quot;mkinfit&quot; and &quot;modFit&quot; in the class attribute.
- A summary can be obtained by <code><a href='summary.mkinfit.html'>summary.mkinfit</a></code>.
-</dl></p>
-
- </div>
-
- <div class="Note">
- <h2>Note</h2>
-
- <p>The implementation of iteratively reweighted least squares is inspired by the
- work of the KinGUII team at Bayer Crop Science (Walter Schmitt and Zhenglei
- Gao). A similar implemention can also be found in CAKE 2.0, which is the
- other GUI derivative of mkin, sponsored by Syngenta.</p>
-
- </div>
-
- <div class="Note">
- <h2>Note</h2>
-
- <p>When using the &quot;IORE&quot; submodel for metabolites, fitting with
- &quot;transform_rates = TRUE&quot; (the default) often leads to failures of the
- numerical ODE solver. In this situation it may help to switch off the
- internal rate transformation.</p>
-
- </div>
-
- <h2 id="examples">Examples</h2>
- <pre class="examples"><div class='input'><span class="comment"># Use shorthand notation for parent only degradation</span>
-<span class="symbol">fit</span> <span class="assignement">&lt;-</span> <span class="functioncall"><a href='mkinfit.html'>mkinfit</a></span><span class="keyword">(</span><span class="string">"FOMC"</span><span class="keyword">,</span> <span class="symbol">FOCUS_2006_C</span><span class="keyword">,</span> <span class="argument">quiet</span> <span class="argument">=</span> <span class="number">TRUE</span><span class="keyword">)</span>
-<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span><span class="keyword">(</span><span class="symbol">fit</span><span class="keyword">)</span></div>
-<div class='output'>mkin version: 0.9.44.9000
-R version: 3.3.1
-Date of fit: Sat Sep 10 05:53:02 2016
-Date of summary: Sat Sep 10 05:53:02 2016
-
-Equations:
-d_parent = - (alpha/beta) * 1/((time/beta) + 1) * parent
-
-Model predictions using solution type analytical
-
-Fitted with method Port using 64 model solutions performed in 0.16 s
-
-Weighting: none
-
-Starting values for parameters to be optimised:
- value type
-parent_0 85.1 state
-alpha 1.0 deparm
-beta 10.0 deparm
-
-Starting values for the transformed parameters actually optimised:
- value lower upper
-parent_0 85.100000 -Inf Inf
-log_alpha 0.000000 -Inf Inf
-log_beta 2.302585 -Inf Inf
-
-Fixed parameter values:
-None
-
-Optimised, transformed parameters with symmetric confidence intervals:
- Estimate Std. Error Lower Upper
-parent_0 85.87000 2.2460 80.38000 91.3700
-log_alpha 0.05192 0.1605 -0.34080 0.4446
-log_beta 0.65100 0.2801 -0.03452 1.3360
-
-Parameter correlation:
- parent_0 log_alpha log_beta
-parent_0 1.0000 -0.2033 -0.3624
-log_alpha -0.2033 1.0000 0.9547
-log_beta -0.3624 0.9547 1.0000
-
-Residual standard error: 2.275 on 6 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 85.870 38.230 1.069e-08 80.3800 91.370
-alpha 1.053 6.231 3.953e-04 0.7112 1.560
-beta 1.917 3.570 5.895e-03 0.9661 3.806
-
-Chi2 error levels in percent:
- err.min n.optim df
-All data 6.657 3 6
-parent 6.657 3 6
-
-Estimated disappearance times:
- DT50 DT90 DT50back
-parent 1.785 15.15 4.56
-
-Data:
- time variable observed predicted residual
- 0 parent 85.1 85.875 -0.7749
- 1 parent 57.9 55.191 2.7091
- 3 parent 29.9 31.845 -1.9452
- 7 parent 14.6 17.012 -2.4124
- 14 parent 9.7 9.241 0.4590
- 28 parent 6.6 4.754 1.8460
- 63 parent 4.0 2.102 1.8977
- 91 parent 3.9 1.441 2.4590
- 119 parent 0.6 1.092 -0.4919
-</div>
-<div class='input'>
-<span class="comment"># One parent compound, one metabolite, both single first order.</span>
-<span class="comment"># Use mkinsub for convenience in model formulation. Pathway to sink included per default.</span>
-<span class="symbol">SFO_SFO</span> <span class="assignement">&lt;-</span> <span class="functioncall"><a href='mkinmod.html'>mkinmod</a></span><span class="keyword">(</span>
- <span class="argument">parent</span> <span class="argument">=</span> <span class="functioncall"><a href='mkinsub.html'>mkinsub</a></span><span class="keyword">(</span><span class="string">"SFO"</span><span class="keyword">,</span> <span class="string">"m1"</span><span class="keyword">)</span><span class="keyword">,</span>
- <span class="argument">m1</span> <span class="argument">=</span> <span class="functioncall"><a href='mkinsub.html'>mkinsub</a></span><span class="keyword">(</span><span class="string">"SFO"</span><span class="keyword">)</span><span class="keyword">)</span></div>
-<strong class='message'>Successfully compiled differential equation model from auto-generated C code.</strong>
-<div class='input'><span class="comment"># Fit the model to the FOCUS example dataset D using defaults</span>
-<span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/print'>print</a></span><span class="keyword">(</span><span class="functioncall"><a href='http://www.rdocumentation.org/packages/base/topics/system.time'>system.time</a></span><span class="keyword">(</span><span class="symbol">fit</span> <span class="assignement">&lt;-</span> <span class="functioncall"><a href='mkinfit.html'>mkinfit</a></span><span class="keyword">(</span><span class="symbol">SFO_SFO</span><span class="keyword">,</span> <span class="symbol">FOCUS_2006_D</span><span class="keyword">,</span>
- <span class="argument">solution_type</span> <span class="argument">=</span> <span class="string">"eigen"</span><span class="keyword">,</span> <span class="argument">quiet</span> <span class="argument">=</span> <span class="number">TRUE</span><span class="keyword">)</span><span class="keyword">)</span><span class="keyword">)</span></div>
-<div class='output'> user system elapsed
- 1.272 1.360 1.044
-</div>
-<div class='input'><span class="functioncall"><a href='http://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span><span class="keyword">(</span><span class="symbol">fit</span><span class="keyword">)</span></div>
-<div class='output'> parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink
- 99.59848 -3.03822 -2.98030 -5.24750
-</div>
-<div class='input'><span class="functioncall"><a href='endpoints.html'>endpoints</a></span><span class="keyword">(</span><span class="symbol">fit</span><span class="keyword">)</span></div>
-<div class='output'>$ff
-parent_sink parent_m1 m1_sink
- 0.485524 0.514476 1.000000
-
-$SFORB
-logical(0)
-
-$distimes
- DT50 DT90
-parent 7.022929 23.32967
-m1 131.760712 437.69961
-
-</div>
-<div class='input'><span class="comment">## Not run: ------------------------------------</span>
-<span class="comment"># # deSolve is slower when no C compiler (gcc) was available during model generation</span>
-<span class="comment"># print(system.time(fit.deSolve &lt;- mkinfit(SFO_SFO, FOCUS_2006_D, </span>
-<span class="comment"># solution_type = "deSolve")))</span>
-<span class="comment"># coef(fit.deSolve)</span>
-<span class="comment"># endpoints(fit.deSolve)</span>
-<span class="comment">## ---------------------------------------------</span>
-
-<span class="comment"># Use stepwise fitting, using optimised parameters from parent only fit, FOMC</span>
-<span class="comment">## Not run: ------------------------------------</span>
-<span class="comment"># FOMC_SFO &lt;- mkinmod(</span>
-<span class="comment"># parent = mkinsub("FOMC", "m1"),</span>
-<span class="comment"># m1 = mkinsub("SFO"))</span>
-<span class="comment"># # Fit the model to the FOCUS example dataset D using defaults</span>
-<span class="comment"># fit.FOMC_SFO &lt;- mkinfit(FOMC_SFO, FOCUS_2006_D)</span>
-<span class="comment"># # Use starting parameters from parent only FOMC fit</span>
-<span class="comment"># fit.FOMC = mkinfit("FOMC", FOCUS_2006_D, plot=TRUE)</span>
-<span class="comment"># fit.FOMC_SFO &lt;- mkinfit(FOMC_SFO, FOCUS_2006_D, </span>
-<span class="comment"># parms.ini = fit.FOMC$bparms.ode, plot=TRUE)</span>
-<span class="comment"># </span>
-<span class="comment"># # Use stepwise fitting, using optimised parameters from parent only fit, SFORB</span>
-<span class="comment"># SFORB_SFO &lt;- mkinmod(</span>
-<span class="comment"># parent = list(type = "SFORB", to = "m1", sink = TRUE),</span>
-<span class="comment"># m1 = list(type = "SFO"))</span>
-<span class="comment"># # Fit the model to the FOCUS example dataset D using defaults</span>
-<span class="comment"># fit.SFORB_SFO &lt;- mkinfit(SFORB_SFO, FOCUS_2006_D)</span>
-<span class="comment"># fit.SFORB_SFO.deSolve &lt;- mkinfit(SFORB_SFO, FOCUS_2006_D, solution_type = "deSolve")</span>
-<span class="comment"># # Use starting parameters from parent only SFORB fit (not really needed in this case)</span>
-<span class="comment"># fit.SFORB = mkinfit("SFORB", FOCUS_2006_D)</span>
-<span class="comment"># fit.SFORB_SFO &lt;- mkinfit(SFORB_SFO, FOCUS_2006_D, parms.ini = fit.SFORB$bparms.ode)</span>
-<span class="comment">## ---------------------------------------------</span>
-
-<span class="comment">## Not run: ------------------------------------</span>
-<span class="comment"># # Weighted fits, including IRLS</span>
-<span class="comment"># SFO_SFO.ff &lt;- mkinmod(parent = mkinsub("SFO", "m1"),</span>
-<span class="comment"># m1 = mkinsub("SFO"), use_of_ff = "max")</span>
-<span class="comment"># f.noweight &lt;- mkinfit(SFO_SFO.ff, FOCUS_2006_D)</span>
-<span class="comment"># summary(f.noweight)</span>
-<span class="comment"># f.irls &lt;- mkinfit(SFO_SFO.ff, FOCUS_2006_D, reweight.method = "obs")</span>
-<span class="comment"># summary(f.irls)</span>
-<span class="comment"># f.w.mean &lt;- mkinfit(SFO_SFO.ff, FOCUS_2006_D, weight = "mean")</span>
-<span class="comment"># summary(f.w.mean)</span>
-<span class="comment"># f.w.value &lt;- mkinfit(SFO_SFO.ff, subset(FOCUS_2006_D, value != 0), err = "value")</span>
-<span class="comment"># summary(f.w.value)</span>
-<span class="comment">## ---------------------------------------------</span>
-
-<span class="comment">## Not run: ------------------------------------</span>
-<span class="comment"># # Manual weighting</span>
-<span class="comment"># dw &lt;- FOCUS_2006_D</span>
-<span class="comment"># errors &lt;- c(parent = 2, m1 = 1)</span>
-<span class="comment"># dw$err.man &lt;- errors[FOCUS_2006_D$name]</span>
-<span class="comment"># f.w.man &lt;- mkinfit(SFO_SFO.ff, dw, err = "err.man")</span>
-<span class="comment"># summary(f.w.man)</span>
-<span class="comment"># f.w.man.irls &lt;- mkinfit(SFO_SFO.ff, dw, err = "err.man",</span>
-<span class="comment"># reweight.method = "obs")</span>
-<span class="comment"># summary(f.w.man.irls)</span>
-<span class="comment">## ---------------------------------------------</span></div></pre>
- </div>
- <div class="span4 sidebar">
- <!-- <ul>
- <li>mkinfit</li>
- </ul>
- <ul>
- <li> optimize </li>
- </ul> -->
-
- <h2>See also</h2>
- <p>Plotting methods <code><a href='plot.mkinfit.html'>plot.mkinfit</a></code> and
- <code><a href='mkinparplot.html'>mkinparplot</a></code>.</p>
-
- <p>Fitting of several models to several datasets in a single call to
- <code><a href='mmkin.html'>mmkin</a></code>.</p>
-
-
-
- <h2>Author</h2>
-
- Johannes Ranke
-
-
- </div>
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