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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
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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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