%0 Journal Article
%T Analytical solution of coupled non-linear second order differential equations in enzyme kinetics
%A Govindhan Varadharajan
%A Lakshmanan Rajendran
%J Natural Science
%P 459-465
%@ 2150-4105
%D 2011
%I Scientific Research Publishing
%R 10.4236/ns.2011.36063
%X 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.
%K Non-Linear Reaction Equations
%K Mathematical Modelling
%K Steady-State
%K Homotopy Perturbation Method
%K Simulation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5322