• MATHEMATICAL MODELLING OF ENZYME KINETICS REACTION MECHANISMS AND ANALYTICAL SOLUTIONS OF NON-LINEAR REACTION EQUATIONS USING VARIATIONAL ITERATION METHOD

M. Renuga Devi, L. Rajendran*

Abstract


The boundary value problem in basic enzyme reactions is discussed and approximate expressions for substrates, enzyme, substrate-enzyme and product concentrations are presented. He’s variational iteration method is used to give approximate and analytical solutions of non-liner reaction equations containing a non-linear term related to enzymatic reaction. The relevant analytical solutions for the substrate, enzyme, substrate-enzyme and product concentration profiles are discussed in terms of dimensionless reaction diffusion parameters. Numerical solutions are also presented using Matlab software. Our analytical results are compared with numerical solution and satisfactory agreement is noted.


Keywords


Initial value problems, Enzyme kinetics, Non-linear reaction equations, Variational iteration method, Mathematical modelling.

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