Unraveling Enzyme Kinetics: Analytical Insights into Substrate, Enzyme,
and Product Concentrations
Abstract
The basic enzyme reaction boundary value problem is described and
approximate expressions for substrate and product concentrations are
given. This model was initially designed using the classical
differential equations and it is extended to the Caputo fractional
derivative (FDE’s) of order μ. Non-linear reaction equations with a
non-linear term related to enzymatic reaction can be approximated and
analytically solved using the Homotopy Perturbation method.
Dimensionless reaction diffusion parameters ε^μ,k^μ,λ^μ are
used to discuss the relevant analytical solutions for the substrate,
enzyme, substrate-enzyme, and product concentration profiles.