Analytical solution of non-linear equations in chemical reaction systems using homotopy perturbation method
European Journal of Molecular & Clinical Medicine,
2020, Volume 7, Issue 11, Pages 597-608
Abstract
A mathematical method is a powerful tool for the study of chemical reactions. This model is based on reaction-diffusion equations that contain a non-linear term analogous to the enzymatic kinetics of response of Michaelis-Menten and the hill binding. In this paper, an approximate analytical solution of the non-linear differential equations that describe the concentrations in mass-action kinetics has been derived for all values of parameter using the new homotopy perturbation method. These results are compared with the numerical result, and satisfactory agreement is noted
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