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Team:Grenoble/Modeling/Amplification/Sensitivity
From 2012.igem.org
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<center><img src="https://static.igem.org/mediawiki/2012/4/46/Graph_sens_1.png" alt="" /></center> | <center><img src="https://static.igem.org/mediawiki/2012/4/46/Graph_sens_1.png" alt="" /></center> | ||
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| + | <center>Evolution of (CRP-cAMP) concentration at t=2000 minutes in function of the initial concentration of cAMP.</center> | ||
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| + | We could notice that the maximum value of (CRP-cAMP) varied between 0 and 10<SUP>-6</SUP> mol/L. The value of the threshold had to be in this range of concentration. Not too low, else it would have meant that the proteins are always produced, and not to high, else the genes would never be expressed. In addition we assumed that arac had to be turned on first and without amplification of cAMP, seing that it is only when arac is expressed the adenylate cyclase is produced. | ||
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Revision as of 16:13, 20 September 2012
Classic Odes Parameters
Explanation 1
- Arac and Ca:
where
Avogadro number and
is E. coli volume. Thus, we have 
. Then, we get the value of 
.
For the adenylate cyclase, but we assumed that there is less adenylate cyclase in the cell than Arac. Indeed, when there is too much cAMP is inhibits the production of the adenylate cyclase (see reference [6]).
- CRP:
Explanation 2
We don’t know the value of the synthesis rate of adenylate cyclase, but we assume that there is less adenylate cyclase, because if there is a huge amont of adenylate cyclase, there will too much cAMP, and then cAMP will repress the adenylate cyclase production (see reference [6]). For the basal production, we make the same assumption as for Arac.Explanation 3
- Activations by (CRP-cAMP):
