Difference between revisions of "Team:Freiburg/Model"
| Line 30: | Line 30: | ||
<div class="container"> | <div class="container"> | ||
<div class="row"> | <div class="row"> | ||
| − | <div class="col-sm-6"> | + | <div class="col-sm-6" style="float:left"> |
<p> | <p> | ||
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns="http://schemas.openxmlformats.org/officeDocument/2006/math"><msup><mi>f</mi><mi>'</mi></msup><mfenced separators="|"><mi>t</mi></mfenced><mo>=</mo><mi>y</mi><mfenced separators="|"><mi>z</mi></mfenced><mo>-</mo><mi>k</mi><mn>1</mn><mi>*</mi><mi>f</mi><mfenced separators="|"><mi>t</mi></mfenced></math> | <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns="http://schemas.openxmlformats.org/officeDocument/2006/math"><msup><mi>f</mi><mi>'</mi></msup><mfenced separators="|"><mi>t</mi></mfenced><mo>=</mo><mi>y</mi><mfenced separators="|"><mi>z</mi></mfenced><mo>-</mo><mi>k</mi><mn>1</mn><mi>*</mi><mi>f</mi><mfenced separators="|"><mi>t</mi></mfenced></math> | ||
| Line 38: | Line 38: | ||
<div class="col-sm-6"> | <div class="col-sm-6"> | ||
<p> | <p> | ||
| − | + | (1) | |
</p> | </p> | ||
</div> | </div> | ||
| Line 46: | Line 46: | ||
<div class="container"> | <div class="container"> | ||
<div class="row"> | <div class="row"> | ||
| − | <div class="col-sm-6"> | + | <div class="col-sm-6" style="float:left"> |
<p> | <p> | ||
<math xmlns="http://www.w3.org/1998/Math/MathML" xmlns="http://schemas.openxmlformats.org/officeDocument/2006/math"><msup><mi>f</mi><mi>'</mi></msup><mfenced separators="|"><mi>t</mi></mfenced><mo>=</mo><mi>y</mi><mfenced separators="|"><mi>z</mi></mfenced><mo>-</mo><mi>k</mi><mn>1</mn><mi>*</mi><mi>f</mi><mfenced separators="|"><mi>t</mi></mfenced></math> | <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns="http://schemas.openxmlformats.org/officeDocument/2006/math"><msup><mi>f</mi><mi>'</mi></msup><mfenced separators="|"><mi>t</mi></mfenced><mo>=</mo><mi>y</mi><mfenced separators="|"><mi>z</mi></mfenced><mo>-</mo><mi>k</mi><mn>1</mn><mi>*</mi><mi>f</mi><mfenced separators="|"><mi>t</mi></mfenced></math> | ||
| Line 54: | Line 54: | ||
<div class="col-sm-6"> | <div class="col-sm-6"> | ||
<p> | <p> | ||
| − | + | (2) | |
</p> | </p> | ||
</div> | </div> | ||
Revision as of 14:23, 24 October 2017
Modeling
Modeling in synthetic biology and iGEM Freiburg 2017
In synthetic biology, modeling can be applied to a wide range of topics, for example modeling of genetic circuits to predict their outcome and to support, if enough data is available, further development such as optimizing genetic circuits for a desired outcome.
In this subfield of mathematical and computational biology, ordinary differential equations (ODEs) are used to describe the transcriptional and translational process (Chen et al., 1999). ODEs consist of a set of parameters and a system of functions and their derivatives. How they can be set up in their simplest form is shown below.
(1)
(2)
The variables are functions of time t where f(t) describes the mRNA concentration, y(z)the transcription function and z(t)the protein concentration. Rate constants are enlisted in the following table.
