Team:Grenoble/Modeling/Amplification/Sensitivity

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Classic Odes Parameters




Explanation 1


  • Arac and Ca:

Once the production of Arac has been activated, we have:

In addition, we assume that p_Arac ≪v_mArac thus, we get:

In addition we know that the maximum number of copies per cell of Arac is 40, thuswhereAvogadro number andis 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:

We have 1000 copies per cell of CRP, and it’s a constant. Then by the same computation, we make the conversion into mol/L, and we get the value of 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):

To set the value of this parameter, we plotted the concentration of (CRP-cAMP) at t=2000 min as we varied the initial concentration of cAMP: