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]).