Analytical Expression of Effectiveness Factor for Immobilized Enzymes System with Reversible Michaelis Menten Kinetics
DOI:
https://doi.org/10.51983/ajsat-2015.4.1.910Keywords:
Diffusion-Reaction, Immobilized Enzymes, Biosensors/bio-fuel cells, New Homotopy perturbation method, Michaelis-Menten kinetics, Effectiveness factorAbstract
The mathematical model of immobilized enzyme system in porous spherical particle is presented. This model is based on a non-stationary diffusion equation containing a nonlinear term related to Michaelis-Menten kinetics of enzymatic reaction. A general and closed form of an analytical expression pertaining to the substrate concentration profile and effectiveness factor are reported for all possible values of Thiele modules φ andα . However, we have employed New Homotopy Perturbation Method (NHPM) to solve the nonlinear reaction/diffusion equation in immobilized enzymes system. Therefore, analytical results were found to be in an appropriate agreement with simulation result.
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