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Analytical Expression Pertaining to Concentration of Substrate and Effectiveness Factor for Immobilized Enzymes with Reversible Michaelis Menten Kinetics

by S. Sevukaperumal, A. Eswari, L. Rajendran
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 33 - Number 3
Year of Publication: 2011
Authors: S. Sevukaperumal, A. Eswari, L. Rajendran
10.5120/4004-5671

S. Sevukaperumal, A. Eswari, L. Rajendran . Analytical Expression Pertaining to Concentration of Substrate and Effectiveness Factor for Immobilized Enzymes with Reversible Michaelis Menten Kinetics. International Journal of Computer Applications. 33, 3 ( November 2011), 46-53. DOI=10.5120/4004-5671

@article{ 10.5120/4004-5671,
author = { S. Sevukaperumal, A. Eswari, L. Rajendran },
title = { Analytical Expression Pertaining to Concentration of Substrate and Effectiveness Factor for Immobilized Enzymes with Reversible Michaelis Menten Kinetics },
journal = { International Journal of Computer Applications },
issue_date = { November 2011 },
volume = { 33 },
number = { 3 },
month = { November },
year = { 2011 },
issn = { 0975-8887 },
pages = { 46-53 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume33/number3/4004-5671/ },
doi = { 10.5120/4004-5671 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:19:15.178919+05:30
%A S. Sevukaperumal
%A A. Eswari
%A L. Rajendran
%T Analytical Expression Pertaining to Concentration of Substrate and Effectiveness Factor for Immobilized Enzymes with Reversible Michaelis Menten Kinetics
%J International Journal of Computer Applications
%@ 0975-8887
%V 33
%N 3
%P 46-53
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The mathematical model of immobilized enzyme system in porous spherical particle is presented. The model is based on non-stationary diffusion equation containing a nonlinear term related to Michaelis-Menten kinetics of the 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 dimensionless modules and . Moreover, herein we have employed “Homotopy Perturbation Method” (HPM) to solve the non-linear reaction/diffusion equation in immobilized enzymes system. These analytical results were found to be in good agreement with simulation result.

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Index Terms

Computer Science
Information Sciences

Keywords

Diffusion-Reaction Immobilised Enzymes Modelling Homotopy perturbation method Biosensors Michaelis-Menten kinetics Effectiveness factor

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