A mathematical model has been developed to assess the multilayer heterogeneous biocatalytic system. A nonlinear system of the mathematical model's analytical expressions for the non-steady state conditions obtained by the new homotopy perturbation method (NHPM) has been computed. In the mathematical model, there are three scenarios: When the substrate degradation diffuses out of the biosensor, when the product diffuses for the biosensor and when both the substrate and product degradation diffuse for the biosensor. Profiles of how the substrate and product degradation rates do not affect the biosensor response have been created in three situations. The third situation is solved by the Akbari-Ganji method (AGM), which describes not effect of degradation rates' impact on the biosensor response. Furthermore, the numerical simulations of the problem are presented using MATLAB. These numerical results are compared with analytical results, and a good agreement is obtained. A graphical procedure is carried out for the degradation rates of species, kinetic parameters and current for steady and non-steady state conditions.
| Published in | Applied and Computational Mathematics (Volume 14, Issue 3) |
| DOI | 10.11648/j.acm.20251403.14 |
| Page(s) | 164-182 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2025. Published by Science Publishing Group |
Biosensor, Degradation Rates of Concentration, Mathematical Modeling, New Homotopy Perturbation Method, Akbari-Ganji Method
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APA Style
Kesavan, R., Rajagopal, S., Ramasamy, K. (2025). Mathematical Modelling and Analysis of the Non-Linear Multi-Layer Amperometric Biosensor with Degradation of Concentrations Derived by Analytical Expressions in Chemical Sciences. Applied and Computational Mathematics, 14(3), 164-182. https://doi.org/10.11648/j.acm.20251403.14
ACS Style
Kesavan, R.; Rajagopal, S.; Ramasamy, K. Mathematical Modelling and Analysis of the Non-Linear Multi-Layer Amperometric Biosensor with Degradation of Concentrations Derived by Analytical Expressions in Chemical Sciences. Appl. Comput. Math. 2025, 14(3), 164-182. doi: 10.11648/j.acm.20251403.14
AMA Style
Kesavan R, Rajagopal S, Ramasamy K. Mathematical Modelling and Analysis of the Non-Linear Multi-Layer Amperometric Biosensor with Degradation of Concentrations Derived by Analytical Expressions in Chemical Sciences. Appl Comput Math. 2025;14(3):164-182. doi: 10.11648/j.acm.20251403.14
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Download@article{10.11648/j.acm.20251403.14,
author = {Ranjani Kesavan and Swaminathan Rajagopal and Karpagavalli Ramasamy},
title = {Mathematical Modelling and Analysis of the Non-Linear Multi-Layer Amperometric Biosensor with Degradation of Concentrations Derived by Analytical Expressions in Chemical Sciences
},
journal = {Applied and Computational Mathematics},
volume = {14},
number = {3},
pages = {164-182},
doi = {10.11648/j.acm.20251403.14},
url = {https://doi.org/10.11648/j.acm.20251403.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20251403.14},
abstract = {A mathematical model has been developed to assess the multilayer heterogeneous biocatalytic system. A nonlinear system of the mathematical model's analytical expressions for the non-steady state conditions obtained by the new homotopy perturbation method (NHPM) has been computed. In the mathematical model, there are three scenarios: When the substrate degradation diffuses out of the biosensor, when the product diffuses for the biosensor and when both the substrate and product degradation diffuse for the biosensor. Profiles of how the substrate and product degradation rates do not affect the biosensor response have been created in three situations. The third situation is solved by the Akbari-Ganji method (AGM), which describes not effect of degradation rates' impact on the biosensor response. Furthermore, the numerical simulations of the problem are presented using MATLAB. These numerical results are compared with analytical results, and a good agreement is obtained. A graphical procedure is carried out for the degradation rates of species, kinetic parameters and current for steady and non-steady state conditions.
},
year = {2025}
}
TY - JOUR T1 - Mathematical Modelling and Analysis of the Non-Linear Multi-Layer Amperometric Biosensor with Degradation of Concentrations Derived by Analytical Expressions in Chemical Sciences AU - Ranjani Kesavan AU - Swaminathan Rajagopal AU - Karpagavalli Ramasamy Y1 - 2025/06/18 PY - 2025 N1 - https://doi.org/10.11648/j.acm.20251403.14 DO - 10.11648/j.acm.20251403.14 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 164 EP - 182 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20251403.14 AB - A mathematical model has been developed to assess the multilayer heterogeneous biocatalytic system. A nonlinear system of the mathematical model's analytical expressions for the non-steady state conditions obtained by the new homotopy perturbation method (NHPM) has been computed. In the mathematical model, there are three scenarios: When the substrate degradation diffuses out of the biosensor, when the product diffuses for the biosensor and when both the substrate and product degradation diffuse for the biosensor. Profiles of how the substrate and product degradation rates do not affect the biosensor response have been created in three situations. The third situation is solved by the Akbari-Ganji method (AGM), which describes not effect of degradation rates' impact on the biosensor response. Furthermore, the numerical simulations of the problem are presented using MATLAB. These numerical results are compared with analytical results, and a good agreement is obtained. A graphical procedure is carried out for the degradation rates of species, kinetic parameters and current for steady and non-steady state conditions. VL - 14 IS - 3 ER -
PG & Research Department of Mathematics, Vidhyaa Giri College of Arts and Science (Affiliated to Alagappa University), Puduvayal, India
PG & Research Department of Mathematics, Vidhyaa Giri College of Arts and Science (Affiliated to Alagappa University), Puduvayal, India
PG & Research Department of Mathematics, Vidhyaa Giri College of Arts and Science (Affiliated to Alagappa University), Puduvayal, India
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