Chemical tools
There are 6 enzyms involved in the natural process of the enterobactin production:
- EntA :
- EntB :
- EntC :
- EntD :
- EntE :
- EntF :
The production of each one of those enzymes can thus become a rate-limiting-step, when it comes to mass enterobactin production.
For now, we consider each one of these steps as a simple chemical reaction:
S → P : E
We are using the enzymatic kinetic model of Michaelis-Menten, which divides each reaction into two consecutives steps:
E + S ↔ ES → E + P : k1, k-1, k2
The speed of the reaction is calculated as below:
v = dP/dt = k2[ES]
The steady state approximation gives us:
d[ES]/dt = k1[E] [S] – k-1[ES] – k2[ES] = 0
And thus,
v = k2k1/(k-1+k2)* [E][S] = Kcat/Km*[E][S]
where Km = (k-1+k2)/k1 and Kcat = k2 are classic kinetic parameters.
Conclusion:
For simple enzymatic reactions (one reagent, one product and one enzyme) with the steady state approximation, we can directly apply the formula above-written.