Natural Science

Volume 3, Issue 6 (June 2011)

ISSN Print: 2150-4091   ISSN Online: 2150-4105

Google-based Impact Factor: 0.74  Citations  h5-index & Ranking

Analytical solution of coupled non-linear second order differential equations in enzyme kinetics

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DOI: 10.4236/ns.2011.36063    8,459 Downloads   19,159 Views  Citations

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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.

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Varadharajan, G. and Rajendran, L. (2011) Analytical solution of coupled non-linear second order differential equations in enzyme kinetics. Natural Science, 3, 459-465. doi: 10.4236/ns.2011.36063.

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