Consider the following enzymatic non-elementary reaction with substrate inhibition

k E+S P+E

that can be written as the rate expression rS =Vmax S^2/KM +S a) Using the INTEGRAL analysis method (this means you have to integrate!) find the

QUESTION a) using the integral analysis method find the concentration of [S] as a function of time. (20 points).

Consider as the initial condition (you need it after integration), t = to, CS = CSo

b) Find a linear expression from where you can get the values of the rate constants Vmax and KM. That is, what would you plot against what to obtain the rate constants Vmax and KM. Do not make numerical calculations. (10 points).

You need to integrate because the experimental values you might have are (BUT DO NOT USE THESE VALUES):

t (hr) CA mol/liter

 0 1.0 1 0.9 3 0.4 4 0.2