A systematic analysis of the problem of determining optimal feeding strateg
ies for immobilized enzyme reactions in fed batch bioreactor is presented i
n this paper. The optimal control theory is applied to a heterogeneous bior
eactor model consisting of a bulk liquid phase and an immobilized enzyme ph
ase. The optimal feeding policy and singular interval are obtained in terms
of state variables alone. It is shown that a constantly fed bioreactor ope
ration is optimal for a process whose kinetics depends on the single reacta
nt concentration. The analytical results are supplemented with a numerical
example of deacylation of penicillin G. Effects of various operating condit
ions, such as reactant feed concentration, enzyme loading and diffusional l
imitation, on the optimal performance of the bioreactor is illustrated. (C)
2001. Elsevier Science Ltd. All rights reserved.