Steady-State Concentration and Current in Enhanced Modeling of Nonlinear Reaction-Diffusion Equations in Different Enzyme Kinetics

Abstract

The investigation of enzyme kinetics heavily relies on nonlinear reaction-diffusion equations to analyze biochemical reactions and intracellular diffusion processes. However, due to their inherent mathematical complexity, solving such equations presents significant challenges. Traditional analytical approaches often fail to yield exact solutions efficiently, necessitating the development of advanced and more effective modern techniques for obtaining accurate solutions. This study introduces an enhanced framework for modeling enzyme kinetics by employing the Akbari-Ganji Method (AGM) to address nonlinear reaction-diffusion equations. The proposed solution approach aims to achieve greater computational accuracy and efficiency. Owing to its inherent capabilities, the AGM effectively handles the nonlinear nature of reaction-diffusion systems. The validity of the developed method was confirmed through comparison with numerical simulations and established analytical techniques. This improved solution strategy provides deeper insights into enzyme kinetics, offering valuable applications in biochemical research and pharmaceutical development. Modern evaluation methods, such as AGM, overcome issues of computational complexity and limited precision, delivering faster and more reliable results than conventional techniques. Moreover, the AGM proves to be a robust and efficient tool for solving nonlinear reaction-diffusion equations relevant to enzyme kinetics and drug discovery processes.