Analytical solution of coupled non-linear second order differential equations in enzyme kinetics
Govindhan Varadharajan, Lakshmanan Rajendran
DOI: 10.4236/ns.2011.36063   PDF   HTML     7,649 Downloads   16,604 Views   Citations


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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The authors declare no conflicts of interest.


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