TITLE:
Analytical solution of coupled non-linear second order differential equations in enzyme kinetics
AUTHORS:
Govindhan Varadharajan, Lakshmanan Rajendran
KEYWORDS:
Non-Linear Reaction Equations; Mathematical Modelling; Steady-State; Homotopy Perturbation Method; Simulation
JOURNAL NAME:
Natural Science,
Vol.3 No.6,
June
22,
2011
ABSTRACT: The coupled system of non-linear second-order reaction differential equation in basic enzyme reaction is formulated and closed analytical ex-pressions for substrate and product concentra-tions are presented. Approximate analytical me-thod (He’s Homotopy perturbation method) is used to solve the coupled non-linear differential equations containing a non-linear term related to enzymatic reaction. Closed analytical expres-sions for substrate concentration, enzyme sub-strate concentration and product concentration have been derived in terms of dimensionless reaction diffusion parameters k, and us-ing perturbation method. These results are compared with simulation results and are found to be in good agreement. The obtained results are valid for the whole solution domain.