Abstract
The effect of internal diffusion on the overall reaction rate in spherical particles and membranes containing immobilized enzymes has been investigated theoretically. Since they represent open systems, the MichaelisMenten kinetics is obeyed in the absence of diffusional effects at steady state even at high enzyme concentrations. When internal diffusion perturbs the reaction, the system can not be described any more by K M and V max‴ alone, but is conveniently characterized by the modulus. Assuming that only internal diffusion interferes with the enzyme reaction, the effect of the modulus on the overall rate of reaction is illustrated by the results of computer calculations. Plots of the overall reaction rate against the substrate concentration are hyperbolas at various moduli for both membranes and spherical particles and no sigmoidal curves are obtained with immobilized enzyme systems. Since the conventional plots of enzyme kinetics do not yield straight lines under such conditions, a graphical method is proposed to determine K M and V max‴ as well as the substrate diffusivity in the enzymic medium.
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