Glucose enzymes reaction in a spherical matrix using HPM and HFM

The study incorporates a microsphere membrane into the glucose composite membrane theory, highlighting its role in planar diffusion and reaction processes. It includes a numerical analysis of factors influencing gluconic acid concentration, such as diffusion coefficients, reaction kinetics, and membrane properties. We have effectively compared an analytically derived methodology using the homotopy perturbation method (HPM) with the Hyperbolic Function Method(HFM). These findings deepen the understanding and optimisation of enzyme kinetics, contributing to more efficient biocatalytic systems. The ability to predict and control enzyme behaviour in these settings opens the door to significant advancements in biotechnology, with potential applications in pharmaceuticals, biofuels, and industrial bioprocesses.