A two-parameter mathematical model for immobilizedenzymes and Homotopy analysis method

Rathinasamy Angel Joy, Athimoolam Meena, Shunmugham Loghambal, Lakshmanan Rajendran

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Department of Mathematics, The Madura College, Madurai, India.

DOI: 10.4236/ns.2011.37078                

Abstract

A two parameter mathematical model was developed to find the concentration for immobilized enzyme systems in porous spherical particles. This model contains a non-linear term related to reversible Michaelies-Menten kinetics. Analytical expression pertaining to the substrate concentration was reported for all possible values of Thiele module φ and α . In this work, we report the theoretically evaluated steady-state effectiveness factor for immobilized enzyme systems in porous spherical particles. These analytical results were found to be in good agreement with numerical results. Moreover, herein we employ new “Homotopy analysis method” (HAM) to solve non-linear reaction/diffusion equation.

Keywords

Mathematical Modeling;Michaelis-Menten Kinetics; Homotopy Analysis Method; Reaction/Diffusion Equation; Effectiveness factor

Conflicts of Interest

The authors declare no conflicts of interest.

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