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

International Journal of Computer Applications
© 2011 by IJCA Journal
Volume 33 - Number 3
Year of Publication: 2011
S. Sevukaperumal
A. Eswari
L. Rajendran

S Sevukaperumal, A Eswari and L Rajendran. Article: 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):46-53, November 2011. Full text available. BibTeX

	author = {S. Sevukaperumal and A. Eswari and L. Rajendran},
	title = {Article: Analytical Expression Pertaining to Concentration of Substrate and Effectiveness Factor for Immobilized Enzymes with Reversible Michaelis Menten Kinetics},
	journal = {International Journal of Computer Applications},
	year = {2011},
	volume = {33},
	number = {3},
	pages = {46-53},
	month = {November},
	note = {Full text available}


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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