Team:Grenoble/Modeling/Amplification/ODE
From 2012.igem.org
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+ | <h1>The system<h1> | ||
Here is the schema of the real system, in orange are the reactions which didn’t appear in the simplified system: | Here is the schema of the real system, in orange are the reactions which didn’t appear in the simplified system: | ||
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<center><img src="https://static.igem.org/mediawiki/2012/8/82/Schema_system_grenoble.png" alt="" /></center> | <center><img src="https://static.igem.org/mediawiki/2012/8/82/Schema_system_grenoble.png" alt="" /></center> | ||
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- | cAMP is the quorum sensing molecule. When we put some | + | cAMP is the quorum sensing molecule. When we put some cAMP out of the system, it enters into the system. Then, it complexes with CRP to create (CRP-cAMP), which is the transcription factor of the gene arac. When some Arac is created, it will complex with arabinose to create Arac*. Arac* is the active form of Arac. Arac* with (CRP-cAMP) are the transcription factors of the gene cya. Then when some protein of adenylate cyclase is produced, it will catalyze the production of cAMP. |
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Revision as of 14:23, 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?