A mathematical analysis of an initial value problem in a biochemical reaction framework

Authors

  • M. Vasuki Department of Mathematics, Srinivasan College of Arts and Science (Affiliated to Bharathidasan University), Perambalur, Tamil Nadu, India.
  • V. Ananthaswamy Research Centre and PG Department of Mathematics, \\The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • A. Dinesh Kumar Department of Mathematics, Khadir Mohideen College, (Affiliated to Bharathidasan University), Adirampattinam, Tamil Nadu, India.

Abstract

The current study examines an earlier mathematical description of the complex model of enzyme inhibitor reaction where reaction memory is taken into account. The approximate analytical expressions of the concentrations of enzyme, substrate, inhibitor, product, and other complex intermediate species are derived using Taylors series method (TSM). A contrast between the numerical simulation and the approximate analytical approach is also given. The approximate analytical outcomes and the numerical findings show a strong correlation.

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Published

2026-08-30

Issue

Vol. 33 No. 3 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 M. Vasuki, V. Ananthaswamy, A. Dinesh Kumar

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

A mathematical analysis of an initial value problem in a biochemical reaction framework. (2026). Nonlinear Studies, 33(3), 1161-1175. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/4471