Team:Paris/Production modeling

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Modeling

A. Genetic Network Regulation

The first thing that we wanted to study in modeling was the efficiency of the construction chosen to create a delay. Our first approach was a deterministic analysis of the system using differential equations. The regulation of promoters was described using the Hill functions and the methods described by U. Alon in his book An Introduction to Systems Biology.

When the system is activated, there is Arabinose in the medium and the pBad promoters are activated. And the system can be described by this system of differential equations :

• As the Plac promoter is leaking, we tried to model this behaviour by introducing a constant rate K in the activation coefficient of PLac.