Difference between revisions of "Team:Freiburg/Model"
| Line 63: | Line 63: | ||
<div class="item"> | <div class="item"> | ||
| − | <p>The variables are functions of time t where <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns="http://schemas.openxmlformats.org/officeDocument/2006/math"><mi>f</mi><mo>(</mo><mi>t</mi><mo>)</mo></math> describes the mRNA concentration, y(z)the transcription function and z(t)the protein concentration. Rate constants are enlisted in the following table. | + | <p>The variables are functions of time t where <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns="http://schemas.openxmlformats.org/officeDocument/2006/math"><mi>f</mi><mo>(</mo><mi>t</mi><mo>)</mo></math> describes the mRNA concentration, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns="http://schemas.openxmlformats.org/officeDocument/2006/math"><mi>y</mi><mo>(</mo><mi>z</mi><mo>)</mo></math>the transcription function and z(t)the protein concentration. Rate constants are enlisted in the following table. |
</p> | </p> | ||
Revision as of 15:17, 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 describes the mRNA concentration, the transcription function and z(t)the protein concentration. Rate constants are enlisted in the following table.
