Analytical expressions of the concentrations of substrate and product in enzyme inhibition process

Sankaranarayanan Muthukumar, Lakshmanan Rajendran

Department of Mathematics, The Madura College, Madurai, India.

DOI: 10.4236/ns.2013.59129                

Abstract

The initial and boundary value problem in enzyme reactions mechanism for inhabitation process is discussed. Approximate analytical expressions for the concentrations of substrate and product are presented. Approximate analytical solutions of non-linear reaction equations containing non-linear terms related to enzymatic reaction mechanism are solved using Homotopy perturbation method. The relevant analytical expression for the substrate and product concentration profiles is discussed in terms of dimensionless reaction diffusion parameters α, β, γ_E, and γ_S. Numerical solution is also obtained using Matlab program. Our analytical expression compared with numerical estimation and good agreement is noted.

Keywords

Initial and Boundary Value Problems; Enzyme Kinetics; Non-Linear Reaction Equations; Homotopy Perturbation Method; Michaelis-Menten Kinetics

Conflicts of Interest

The authors declare no conflicts of interest.

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