Analytical Expression Pertaining to Concentration of Substrate and Effectiveness Factor for Immobilized Enzymes with Reversible Michaelis Menten Kinetics
10.5120/4004-5671 |
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
@article{key:article, 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} }
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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