Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method

K. P. V. Preethi; H. Alotaibi; J. Visuvasam; K. P. V. Preethi; H. Alotaibi; J. Visuvasam

doi:10.3934/mmc.2024028

Mathematical Modelling and Control

2024, Volume 4, Issue 3: 350-360. doi: 10.3934/mmc.2024028

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Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method

1.
Department of Mathematics, Saiva Bhanu Kshatriya Colllege (Affiliated by Madurai Kamaraj University), Aruppukottai 626101, Virudhunagar, Tamil Nadu, India
2.
Department of Mathematics and Statistics, faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia
3.
Department of Mathematics, School of Engineering and Technology, Jain (Deemed-To-Be University), Bangalore-562 112, Karnataka, India

Received: 14 June 2023 Revised: 13 April 2024 Accepted: 28 June 2024 Published: 11 September 2024

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.
- mathematical modeling,
- nonlinear differential equations,
- Akbari-Ganji's method,
- numerical simulation,
- amperometric biosensor,
- immobilized enzyme
Citation: K. P. V. Preethi, H. Alotaibi, J. Visuvasam. Analysis of amperometric biosensor utilizing synergistic substrates conversion: Akbari-Ganji's method[J]. Mathematical Modelling and Control, 2024, 4(3): 350-360. doi: 10.3934/mmc.2024028

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Abstract

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.

References

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