Team:Grenoble/Modeling/Amplification/ODE
From 2012.igem.org
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Thus, we get the evolution speed of (CRP-CAMP), r<SUB>(CRP-cAMP)</SUB>: | Thus, we get the evolution speed of (CRP-CAMP), r<SUB>(CRP-cAMP)</SUB>: | ||
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<center><img src="https://static.igem.org/mediawiki/2012/0/0e/Eq2_grenoble.png" alt="" /></center> | <center><img src="https://static.igem.org/mediawiki/2012/0/0e/Eq2_grenoble.png" alt="" /></center> | ||
+ | </br> | ||
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+ | Then, we have the conservation equations: | ||
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+ | <center><img src="https://static.igem.org/mediawiki/2012/0/03/Eq3_grenoble.png" alt="" /></center> | ||
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</br> | </br> | ||
</section> | </section> |
Revision as of 14:44, 20 September 2012
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.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?