Derive the equation for S* for competitive product inhibiton.
Definition of variables:
S* = the surface substrate concentration at steady state. (For plug flow reactor);
Sb = bulk substrate conc;
Ks = mass transfer coeff;
Ki = competitive inhibition rate constant;
Km = substrate conc that give 1/2 max enzyme reaction rate;
Vmax = max specific growth rate;
V= specific growth rate;
The derivation of the equation for S* for competitive product inhibition is outlined.