Team:Grenoble/Modeling/Amplification/ODE

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iGEM Grenoble 2012

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Preliminary

We will use the quasi steady state approximation (QSSA) then. The idea is that there are quick reactions, such as enzymatic ones, complexations, etc… And there are slow reactions such as protein production. We assume that the evolution speed of an element that is created only by quick reaction is null.



Indeed, we have these types of evolution for the biological elements. The ones involved only in quick reactions are most of the time in a steady state, and there jump from one steady state to an other has an infinite speed, which doesn’t interest us.

Goal

In this part, we want to answer to three questions:

      What is the sensitivity of our system?
      What is the time response?
      What steady states will our system always reach?

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