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Revision as of 14:32, 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.
