A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives

This article investigates mathematical simulations of Michaelis–Menten kinetics in differential biochemical reactions by implementing fractional derivatives. It establishes numerical computations for the concentrations of enzymes, substrates, inhibitors, products, and several complex intermediates using the homotopy perturbation method (HPM), homotopy analysis method (HAM), and variational iteration method (VIM). The focus is on Caputo fractional derivatives. Numerical examples illustrate HPM, HAM, and VIM comparisons to enhance accuracy and understanding. The conclusion recaps the key findings of this biochemical reaction model involving fractional derivatives, including the relevant numerical results and graphical representations.