A mathematical study on reaction-diffusion model in biomedicine

The present investigation examines the Michaelis-Menten kinetics response diffusion problem in a planar, spherical framework by employing mathematical model. The substrate concentration is found to have straightforward outcomes with the Michaelis constant, modified Sherwood number, and Thiele modulus. Here, the analytical approximation for the non-dimensional substrate concentration and unitless effectiveness factor are determined via the new approximateanalytical methodology for steady-state (Ananthaswamy-Sivasankari method ASM) and Homotopy with Laplace transform method for non-steady state. Additionally, juxtaposition between the analytical approximation and numerical simulation is provided. There is a good correlation between the numerical results and the approximate analytical result.

کلیدواژه ها:

Mathematical modeling ، Michaelis–Menten kinetics (M-MK) ، non-linear initial-boundary value problem ، Homotopy perturbation method ، new approximate analytical method ، Numerical simulation