Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method
The biological recognition of enzymes was the basis of enzyme-based chemical biosensors. It is essential for a biosensor to function under normal operating conditions so that enzymes can catalyze biochemical reactions. The mechanism of a modified enzyme-membrane electrode in a catalytic cycle was de...
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AIMS Press
2024-09-01
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| Series: | Mathematical Modelling and Control |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2024028 |
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| author | K. P. V. Preethi H. Alotaibi J. Visuvasam |
| author_facet | K. P. V. Preethi H. Alotaibi J. Visuvasam |
| author_sort | K. P. V. Preethi |
| collection | DOAJ |
| description | The biological recognition of enzymes was the basis of enzyme-based chemical biosensors. It is essential for a biosensor to function under normal operating conditions so that enzymes can catalyze biochemical reactions. The mechanism of a modified enzyme-membrane electrode in a catalytic cycle was described using a mathematical model. The nonlinear terms associated with enzyme kinetics were presented in this model. The Akbari-Ganji's method (AGM) was used to calculate the semi-analytical expressions for species concentration and normalized current. For all possible values of the Thiele modulus, normalized surface concentration of the oxidized mediator, and normalized surface concentration of the substrate, a simple and approximate hyperbolic expression of concentrations of an oxidized mediator, substrate, and reduced mediator were derived. The numerical simulation was then verified using semi-analytical results. The numerical simulation and semi-analytical predictions agreed well with each other. |
| format | Article |
| id | doaj-art-29bab322b35b4771a842b3c30c01763a |
| institution | Kabale University |
| issn | 2767-8946 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj-art-29bab322b35b4771a842b3c30c01763a2025-01-24T01:02:08ZengAIMS PressMathematical Modelling and Control2767-89462024-09-014335036010.3934/mmc.2024028Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's methodK. P. V. Preethi0H. Alotaibi1J. Visuvasam2Department of Mathematics, Saiva Bhanu Kshatriya Colllege (Affiliated by Madurai Kamaraj University), Aruppukottai 626101, Virudhunagar, Tamil Nadu, IndiaDepartment of Mathematics and Statistics, faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, School of Engineering and Technology, Jain (Deemed-To-Be University), Bangalore-562 112, Karnataka, IndiaThe biological recognition of enzymes was the basis of enzyme-based chemical biosensors. It is essential for a biosensor to function under normal operating conditions so that enzymes can catalyze biochemical reactions. The mechanism of a modified enzyme-membrane electrode in a catalytic cycle was described using a mathematical model. The nonlinear terms associated with enzyme kinetics were presented in this model. The Akbari-Ganji's method (AGM) was used to calculate the semi-analytical expressions for species concentration and normalized current. For all possible values of the Thiele modulus, normalized surface concentration of the oxidized mediator, and normalized surface concentration of the substrate, a simple and approximate hyperbolic expression of concentrations of an oxidized mediator, substrate, and reduced mediator were derived. The numerical simulation was then verified using semi-analytical results. The numerical simulation and semi-analytical predictions agreed well with each other.https://www.aimspress.com/article/doi/10.3934/mmc.2024028mathematical modelingnonlinear differential equationsakbari-ganji's methodnumerical simulationamperometric biosensorimmobilized enzyme |
| spellingShingle | K. P. V. Preethi H. Alotaibi J. Visuvasam Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method Mathematical Modelling and Control mathematical modeling nonlinear differential equations akbari-ganji's method numerical simulation amperometric biosensor immobilized enzyme |
| title | Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method |
| title_full | Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method |
| title_fullStr | Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method |
| title_full_unstemmed | Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method |
| title_short | Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method |
| title_sort | analysis of amperometric biosensor utilizing synergistic substrates conversion akbari ganji s method |
| topic | mathematical modeling nonlinear differential equations akbari-ganji's method numerical simulation amperometric biosensor immobilized enzyme |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2024028 |
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