Derivation of reaction rates for the continuous model
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چکیده
where E denotes a molecule of the enzyme phosphodiesterase (PDE), X1 denotes a molecule of c-di-GMP and P is the product of this reaction, pGpG. Here, we made a quasi steady-state assumption for the formation of the E:X1-complex. This makes the product formation the rate limiting step, yielding the maximal catalytic velocity Vmax = (e + ex1) · k cat and the Michaelis-Menten constant Km = (k PDE −1 + k PDE cat )/k PDE 1 [1]. The two important PDEs controlling the curli regulation system are YhjH and YciR. Similarly to the DGC enzyme YegE, the amount of active YhjH proteins in the system is assumed to be constant. Therefore, the Michaelis-Menten reaction rate of YhjH results in
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