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@@ -93,12 +76,13 @@
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<main id="main" class="col-md-9"><div class="page-header">
- <img src="" class="logo" alt=""><h1>Short introduction to mkin</h1>
+
+ <h1>Short introduction to mkin</h1>
<h4 data-toc-skip class="author">Johannes
Ranke</h4>
<h4 data-toc-skip class="date">Last change 18 May 2023
-(rebuilt 2023-11-16)</h4>
+(rebuilt 2024-07-29)</h4>
<small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/vignettes/mkin.rmd" class="external-link"><code>vignettes/mkin.rmd</code></a></small>
<div class="d-none name"><code>mkin.rmd</code></div>
@@ -184,8 +168,9 @@ was already available, and provided a good basis for developing a
package specifically tailored to the task. The remaining challenge was
to make it as easy as possible for the users (including the author of
this vignette) to specify the system of differential equations and to
-include the output requested by the FOCUS guidance, such as the <span class="math inline">\(\chi^2\)</span> error level as defined in this
-guidance.</p>
+include the output requested by the FOCUS guidance, such as the
+<math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><msup><mi>χ</mi><mn>2</mn></msup><annotation encoding="application/x-tex">\chi^2</annotation></semantics></math>
+error level as defined in this guidance.</p>
<p>Also, <code>mkin</code> introduced using analytical solutions for
parent only kinetics for improved optimization speed. Later, Eigenvalue
based solutions were introduced to <code>mkin</code> for the case of
@@ -323,13 +308,14 @@ reliability of parameter estimates, based on the FOCUS guidance
mentioned above. Therefore, the results of this one-sided t-test are
included in the summary output from <code>mkin</code>.</p>
<p>As it is not reasonable to test for significant difference of the
-transformed parameters (<em>e.g.</em> <span class="math inline">\(log(k)\)</span>) from zero, the t-test is
-calculated based on the model definition before parameter
-transformation, <em>i.e.</em> in a similar way as in packages that do
-not apply such an internal parameter transformation. A note is included
-in the <code>mkin</code> output, pointing to the fact that the t-test is
-based on the unjustified assumption of normal distribution of the
-parameter estimators.</p>
+transformed parameters (<em>e.g.</em>
+<math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>l</mi><mi>o</mi><mi>g</mi><mrow><mo stretchy="true" form="prefix">(</mo><mi>k</mi><mo stretchy="true" form="postfix">)</mo></mrow></mrow><annotation encoding="application/x-tex">log(k)</annotation></semantics></math>)
+from zero, the t-test is calculated based on the model definition before
+parameter transformation, <em>i.e.</em> in a similar way as in packages
+that do not apply such an internal parameter transformation. A note is
+included in the <code>mkin</code> output, pointing to the fact that the
+t-test is based on the unjustified assumption of normal distribution of
+the parameter estimators.</p>
</div>
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<div class="section level2">
@@ -400,28 +386,26 @@ Sensitivity and Monte Carlo Analysis in <span>R</span> Using Package
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