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 𝑣𝑚𝐴𝑟𝑎𝑐 .