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An enzyme rate equation for the overall rate of reaction of gel‐immobilized glucose oxidase particles under buffered conditions. II. Two limiting substrates
Author(s) -
Atkinson B.,
Lester D. E.
Publication year - 1974
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260161003
Subject(s) - glucose oxidase , dimensionless quantity , chemistry , diffusion , substrate (aquarium) , kinetics , rate equation , reaction rate , thermodynamics , enzyme , reaction–diffusion system , chromatography , analytical chemistry (journal) , biochemistry , catalysis , physics , classical mechanics , biology , ecology
The overall rate of reaction of gel‐immobilized glucose oxidase particles in buffered media has been investigated theoretically under two substrate diffusion limited conditions by the numerical solution of the diffusion equations. It has been found that the Enzyme Rate Equation (Atkinson and Lester), Biotechnol. Bioeng. , 16 , 1299 (1974), together with an analytical solution which describes the asymptotic conditions associated with a large particle size, provides an adequate estimation of the values resulting from the numerical solution outside the region of the parameter space defined by 0.4 < M g ′, M 0 ′ < 10. When the dimensionless parameter ( B 0 ′/ B g ′)( M g ′ 2 / M 0 ′ 2 ) is greater than unity the overall rate of reaction is limited principally by the external concentration and when the parameter has a value less than unity, by the external oxygen concentration. The results are generally applicable to enzymes whose kinetics are similar to those of glucose oxidase or for which the equation describing glucose oxidase kinetics provides an adequate curve‐fit of experimental data.