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A mathematical study on reaction-diffusion model in biomedicine | ||
| Journal of Mathematical Modeling | ||
| دوره 14، شماره 3، آبان 2026، صفحه 923-940 اصل مقاله (352.91 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32423.2938 | ||
| نویسندگان | ||
| Vembu Ananthaswamy* 1؛ Jeyakumar Anantha Jothi2؛ Moorthi Subha3 | ||
| 1The Madura College (Autonomous -Affiliated to Madurai Kamaraj University, Madurai ) | ||
| 2Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Autonomous) Madurai, Tamil Nadu, India | ||
| 3Department of Mathematics Fatima College (Autonomous) Madurai, Tamil Nadu, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Mathematical modeling؛ Michaelis–Menten kinetics (M-MK)؛ non-linear initial-boundary value problem؛ homotopy perturbation method؛ new approximate analytical method؛ numerical simulation | ||
| مراجع | ||
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