into Eq. (5a} and solving for with the initial value , one obtains the implicit solution for as with the constants For any chosen value of , the biomass concentration can be calculated with Eq. (7) at a time given by Eq. (8). The corresponding values of and can be determined using the mass balances introduced above. See also Enzyme kinetics Michaelis–Menten kinetics Monod GEBIK equations References Enzyme kinetics