got the function v*t=(S₀-S_t)+K_m*ln(S₀/S_t) and I need to find S_t I solve it in maple and get S_t=LambertW((S₀*e)/K_m)*K_m). Then S₀, v, K_m is known I can solve this thing in maple (t=time and it's varies from 0 to x).

I got a function to express v*t=(S₀-S_t)+K_m*ln(S₀/S_t). The only unknown here is S_t. I solve it for S_t and get

S_t=LambertW((S₀*e)/K_m)*K_m)

http://www.failai.in/show/F/AE1DF287E/darbas2.mw (without E₀)

http://www.failai.in/show/F/A1488DF1B/darbas3.mw  (with E₀)

It's a links to my worksheets (used maple 11). And now the problems:

Problem Statement: In a catalytic reaction that follows a mechanism known as the Michaelis-Menten kinetics, the reactant (S) combines reversibly with a catalyst (E) to form a complex (ES) with a forward and reverse rate constant of k₁ and k_i, respectively. The complex then dissociates into product (P) with a reaction rate constant of k₂ and the catalyst is regenerated.