Mathematical Modeling and Analysis of Immobilized Glucose Dehydrogenase Reactions in Spherical Micro-reactors

Authors

  • Daniel S Cardamom Planters’ Association College, Bodinayakanur
  • Mallikarjuna M SRM Institute of Science and Technology
  • Senthamarai R SRM Institute of Science and Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6203

Keywords:

Miro reactor, Analytical solution, Adomian Decomposition method, Taylors series Method

Abstract

In this article, a batch stirred tank reactor comprising an array of uniform spherical porous micro-reactor (MR) immobilized with nonspecific glucose dehydrogenase and an oxygen-reducing enzyme is modeled mathematically. This model is a steady-state system of non-linear reaction diffusion terms related to the non-Michaelis-Menten kinetics of an enzymatic reaction. We provide approximate analytical expression of the non-linear reaction diffusion equations of substrate, product and oxygen concentrations by utilizing the Adomian Decomposition Method (ADM) and Taylor Series Method (TSM). The obtained semi-analytical results are compared with the numerical simulations, satisfactory results are obtained. Semi-analytical expression for the effectiveness factor of the system is also provided. Using this expression, the factors influencing the effective operation of the system are discussed.

Author Biography

  • Senthamarai R, SRM Institute of Science and Technology

    Assistant Professor (Sr.G),

    Department of Mathematics,

    SRM Institute of Science and Technology

Downloads

Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Biosciences

License

Copyright (c) 2025 Daniel S, Mallikarjuna M, Senthamarai R

Creative Commons License

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

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Mathematical Modeling and Analysis of Immobilized Glucose Dehydrogenase Reactions in Spherical Micro-reactors. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6203. https://doi.org/10.29020/nybg.ejpam.v18i3.6203