Analytical Solution of Chemical Reaction Systems using Kinetic Models

It encompasses multiple model kinds, such as spatially distributed versus homogenous, discrete versus continuous, and stochastic versus determinist. Among all chemical reactions, oscillating reactions are the most exciting. Here, the reactant and auto catalyst are the two chemical species that make up the system. The analysis of chemical reaction processes by mathematical approaches has also a long history. We now shift our focus to mathematical frameworks for the deterministic kinetics of mass motion. On the positive orthant, these models are systems of related nonlinear differential equations. Reaction-diffusion equations with a nonlinear term resembling Michaelis-Menten's enzymatic reaction kinetics form the basis of the model. In this work, the New Homotopy perturbation method yields a preliminary analytical solution for all values of parameter to the nonlinear differential equations analysing the concentrations in mass-action kinetics and Michaelis - Menten enzyme kinetics, also known as the hill binding kinetics. A satisfactory level of agreement is found when these results are compared to the numerical result.