• INITIAL NON-LINEAR BOUNDARY VALUE IN ENZYME-SUBSTRATE REACTION PROCESSES - HOMOTOPY PERTURBATION APPROACH

C. Thanga Pandi; L. Rajendran*

• INITIAL NON-LINEAR BOUNDARY VALUE IN ENZYME-SUBSTRATE REACTION PROCESSES - HOMOTOPY PERTURBATION APPROACH

C. Thanga Pandi, L. Rajendran*

Abstract

The boundary value problem in basic enzyme reactions is formulated and approximate closed analytical expression of concentrations of substrate, enzyme and substrate-enzyme complex are presented. He’s Homotopy perturbation method (HPM) is used to give approximate and analytical solutions of non-linear reaction equations containing a non-linear term related to enzymatic reaction. The pertinent analytical solutions for the substrate, substrate-enzyme complex and free enzyme are discussed in terms of dimensionless parameters and .

Keywords

Enzyme catalyzed reaction; Non-linear boundary value problems; Homotopy Perturbation Method; Michaelis-Menten kinetics.

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