Analytical solution of coupled non-linear second order differential equations in enzyme kinetics
نویسندگان
چکیده
The coupled system of non-linear second-order reaction differential equation in basic enzyme reaction is formulated and closed analytical expressions for substrate and product concentrations are presented. Approximate analytical method (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 expressions for substrate concentration, enzyme substrate concentration and product concentration have been derived in terms of dimensionless reaction diffusion parameters k, and using 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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