Abstract

Immobilized cell and enzyme hollow fiber reactors have been developed for a variety of biochemical and biomedical applications. Reported mathematical models for predicting substrate conversion in these reactors have been limited in accuracy because of the use of free-solution kinetic parameters. This paper describes a method for determining the intrinsic kinetics of enzymes immobilized in hollow fiber reactor systems using a mathematical model for diffusion and reaction in porous media and an optimization procedure to fit intrinsic kinetic parameters to experimental data. Two enzymes, a thermophilic β-galactosidase that exhibits product inhibition and L-lysine α-oxidase, were used in the analysis. The intrinsic kinetic parameters show that immobilization enhanced the activity of the β-galactosidase while decreasing the activity of L-lysine α-oxidase. Both immobilized enzymes had higher K m values than did the soluble enzyme, indicating less affinity for the substrate. These results are used to illustrate the significant improvement in the ability to predict substrate conversion in hollow fiber reactors.

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