On the approximate analytical solution of a problem of optimization in the field of immobilized enzymes

F. Xavier Malcata*

*Autor correspondente para este trabalho

Resultado de pesquisarevisão de pares

4 Citações (Scopus)

Resumo

The problem of optimizing the thickness of a microporous slab containing an immobilized enzyme is addressed, using an economic criterion as the objective function. The steady-state material balance to the substrate as transported by diffusion and depleted by a biochemical reaction following classical Michaëlis–enten kinetics within the pellet is obtained. Taking advantage of a number of algebraic manipulations and mathematical artefacts, one is able to solve the resulting second-order, non-linear differential equation by an analytical method, provided that an upper error bound for the solution in the order of 5 per cent is acceptable. The validity of the approximation is tested, and useful applications are reported.
Idioma originalEnglish
Páginas (de-até)177-185
Número de páginas9
RevistaInternational Journal of Mathematical Education in Science and Technology
Volume22
Número de emissão2
DOIs
Estado da publicaçãoPublicado - 1991

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