Enzymes 1, 2, and 3 are all immobilized on the same flat, nonporous surface. Enzyme 1 converts A to B, and Enzyme 2 converts C to D. Enzyme 3 converts both B and D to E.
A → B → E
C → D → E
Represent the substrate on the surface with Ss and the bulk concentration as Sb. Use KL as the mass transport coefficient, Km as the Michaelis-Menten constant, and Vm' as Vmax. What is the surface concentration of A and the rate of formation of E?
Hint: Diffusion rate = KL(Sb - Ss)
Reaction rate = (Vm' * Ss) / (Km + Ss)