A mathematical study on reaction-diffusion model in biomedicine

Ananthaswamy, Vembu; Anantha Jothi, Jeyakumar; Subha, Moorthi

doi:10.22124/jmm.2026.32423.2938

A mathematical study on reaction-diffusion model in biomedicine

Articles in Press

Document Type : Research Article

Authors

¹ The Madura College (Autonomous -Affiliated to Madurai Kamaraj University, Madurai )

² Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Autonomous) Madurai, Tamil Nadu, India

³ Department of Mathematics Fatima College (Autonomous) Madurai, Tamil Nadu, India

10.22124/jmm.2026.32423.2938

Abstract

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 approximate
analytical 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.

Keywords