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

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Author(s): Rathinasamy Angel Joy | Athimoolam Meena | Shunmugham Loghambal | Lakshmanan Rajendran

Journal: Natural Science
ISSN 2150-4091

Volume: 03;
Issue: 07;
Start page: 556;
Date: 2011;
Original page

Keywords: Mathematical Modeling | Michaelis-Menten Kinetics | Homotopy Analysis Method | Reaction/Diffusion Equation | Effectiveness factor

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 &#966 and &#945 . 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.
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