Iterative Approximate Solutions of Kinetic Equations for Reversible Enzyme Reactions

TL;DR

This paper compares two analytical approximation methods, HPM and SIM, for solving nonlinear kinetic equations of reversible enzyme reactions, demonstrating similar results and providing Matlab implementations.

Contribution

It introduces and compares Homotopy Perturbation Method and Simple Iteration Method for approximate solutions of enzyme reaction models.

Findings

HPM and SIM produce similar approximate solutions.

Matlab programs for both methods are provided.

The methods effectively solve nonlinear enzyme kinetics equations.

Abstract

We study kinetic models of reversible enzyme reactions and compare two techniques for analytic approximate solutions of the model. Analytic approximate solutions of non-linear reaction equations for reversible enzyme reactions are calculated using the Homotopy Perturbation Method (HPM) and the Simple Iteration Method (SIM). The results of the approximations are similar. The Matlab programs are included in appendices.