Modeling Concentration Dynamics under Michaelis–Menten Kinetics
DOI:
https://doi.org/10.62486/978-9915-9851-0-7_202644Keywords:
Enzymatic reactions, Mathematical modeling, Non-linear differential equations, Akbari Ganji’s method, hyperbolic function methodAbstract
A theoretical model simulates substrate-to-fructose conversion by enzymatic reactions, described using a nonlinear reaction-diffusion equation based on Michaelis–Menten kinetics. The model’s one-dimensional boundary value problem mimics processes in catalytic membranes or bioreactors, solved both analytically and numerically. Key methods include the Akbari-Ganji and hyperbolic function approaches, providing robust expressions for substrate concentration and flux dependent on pore-level Thiele modulus and kinetic parameters. Analytical and numerical results show satisfactory agreement, supporting the methods’ reliability. Sensitivity analysis reveals how kinetic parameters impact substrate utilization—information valuable for optimizing industrial enzymatic processes in chemical and biochemical engineering.
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