A SEMI-ANALYTICAL STUDY ON MULTISCALE POROUS BIOCATALYTIC ELECTRODES IN THE ENZYME REACTION PROCESS

Authors

  • Dr. V. ANANTHASWAMY THE MADURA COLLEGE (AUTONOMOUS - AFFILIATED TO MADURAI KAMARAJ UNIVERSITY), MADURAI

Keywords:

Bioelectrodes, Glucose oxidase, New Homotopy perturbation method (NHPM), Ananthaswamy-Sivasankari Method (ASM), Non-linear boundary value problem, Numerical Simulation

Abstract

A multiscale porous biocatalytic electrode's oxidation of glucose is explained theoretically. The model that describes diffusion and response within a hydrogel film is composed by two differential equations in non-linear. Approximate analytical findings of the glucose concentrations, current, as well as the oxidised mediator have been obtained via the new homotopy perturbation technique. Furthermore, an analytical calculation is performed to determine the ideal electrode thickness for the film by employing Ananthaswamy –Sivasankari technique. It also investigates how parameters affect current. Our approximate analytical expressions are validated by the numerical simulation (Matlab).

Downloads

Download data is not yet available.

Author Biography

Dr. V. ANANTHASWAMY, THE MADURA COLLEGE (AUTONOMOUS - AFFILIATED TO MADURAI KAMARAJ UNIVERSITY), MADURAI

Associate Professor of Mathematics 

References

G. Adomian, Solving frontier problems of physics: the decomposition method (Vol. 60). Springer Science & Business Media, (2013).

V. Ananthaswamy, and S. Narmatha, Semi-analytical solution for surface coverage model in an electrochemical arsenic sensor using a new approach to Homotopy perturbation method, International Journal of Modern Mathematical Sciences, 17(2) (2019), 85-110.

V. Ananthaswamy, R. Shanthakumari, and M. Subha, Simple analytical expressions of the nonlinear reaction diffusion process in an immobilized biocatalyst particle using the New Homotopy perturbation method, Review of Bioinformatics and Biometrics, 3 (2014), 22-28.

O. E. Barcia, E. D'Elia, I. Frateur, O. R. Mattos, N. Pébère, and B. Tribollet, Application of the impedance model of de Levie for the characterization of porous electrodes, Electrochimica acta, 47(13-14) (2002), 2109-2116. https://doi.org/10.1016/S0013-4686(02)00081-6

E. O. Barnes, X. Chen, P. Li, and R. G. Compton,. Voltammetry at porous electrodes: A theoretical study, Journal of Electroanalytical Chemistry, 720 (2014), 92-100. https://doi.org/10.1016/j.jelechem.2014.03.028

P. N. Bartlett, and K. F. E. Pratt, Theoretical treatment of diffusion and kinetics in amperometric immobilized enzyme electrodes Part I: Redox mediator entrapped within the film, Journal of Electroanalytical Chemistry, 397(1-2) (1995), 61-78. https://doi.org/10.1016/0022- 0728(95)04236-7

D. S. Chan, D. J. Dai, and H. S. Wu, Dynamic modeling of anode function in enzyme-based biofuel cells using high mediator concentration, Energies, 5(7) (2012), 2524-2544. https://doi.org/10.3390/en5072524

S. Cosnier, A. J. Gross, A. Le Goff, and M. Holzinger, Recent advances on enzymatic glucose/oxygen and hydrogen/oxygen biofuel cells: Achievements and limitations, Journal of Power Sources, 325 (2016), 252-263. https://doi.org/10.1016/j.jpowsour.2016.05.133

T. Q. N. Do, M. Varničić, R. Hanke-Rauschenbach, T. Vidaković-Koch, and K. Sundmacher, Mathematical modeling of a porous enzymatic electrode with direct electron transfer mechanism, Electrochimica Acta, 137 (2014), 616-626. https://doi.org/10.1016/j.electacta.2014.06.031

J. Galceran, S. L.Taylor, and P. N. Bartlett, Modelling the steady-state current at the inlaid disc microelectrode for homogeneous mediated enzyme catalysed reactions, Journal of Electroanalytical Chemistry, 506(2) (2001), 65-81. https://doi.org/10.1016/S0022 0728(01)00503-4

J. H. He, A coupling method of a homotopy technique and a perturbation technique for non-linear problems, International journal of non-linear mechanics, 35(1) (2000), 37-43.

J. H. He, A simple perturbation approach to Blasius equation, Applied Mathematics and Computations, Vol.no.140 (2003), pp. 217-222. https://doi.org/10.1016/S0020-7462(98)00085-7

J. H. He, Homotopy perturbation method: a new nonlinear analytical technique, Applied Mathematics and computation, 135(1) (2003), 73-79. https://doi.org/10.1016/S0096- 3003(01)00312-5

J. H. He, Homotopy perturbation technique, Compt. Method, Appl. Mech. Eng.,Vol.no.178, (1999)pp.257-262.

J. H. He, Some asymptotic methods for strongly nonlinear equations, International journal of Modern physics B, 20(10) (2006), 1141-1199. https://doi.org/10.1142/S0217979206033796

X. Ke, J. M. Prahl, J. I. D. Alexander, and R. F. Savinell, Redox flow batteries with serpentine flow fields: Distributions of electrolyte flow reactant penetration into the porous carbon electrodes and effects on performance, Journal of Power Sources, 384 (2018), 295-302. https://doi.org/10.1016/j.jpowsour.2018.03.001

D. Leech, P. Kavanagh, and W. Schuhmann, Enzymatic fuel cells: Recent progress, Electrochimica Acta, 84, (2012) 223-234. https://doi.org/10.1016/j.electacta.2012.02.087

A. Meena, and L. Rajendran, Analysis of a pH‐based potentiometric biosensor using the Homotopy perturbation method, Chemical engineering & technology, 33(12) (2010), 1999-2007. https://doi.org/10.1002/ceat.200900580

N. Mehala, and L. Rajendran, Analysis of mathematical modelling on potentiometric biosensors, International Scholarly Research Notices, (2014). 2014. https://doi.org/10.1155/2014/582675

M.M. Mousa, and Ragab, S.F. Nturfosch, Applications of the Homotopy perturbation method to linear and non-linear schrodinger equations, zeitschrift fur naturforschung A, Vol.no.63 (2008), pp. 140-144. https://doi.org/10.1515/zna-2008-3-404

B. Nam, and R. T. Bonnecaze, Analytic models of the infinite porous rotating disk electrode, Journal of the Electrochemical Society, 154(10) (2007), F191. DOI 10.1149/1.2759834

M. Rasi, K. Indira, and L. Rajendran, Approximate Analytical Expressions for the Steady‐State Concentration of Substrate and Cosubstrate over Amperometric Biosensors for Different Enzyme Kinetics, International Journal of Chemical Kinetics, 45(5) (2013), 322 336. https://doi.org/10.1002/kin.20768

V. Vijayalakshmi, V. Ananthaswamy, and J. Anantha Jothi, Semi-Analytical Study on NonIsothermal Steady RD Equation in a Spherical Catalyst and Biocatalyst, CFD Letters, 15(12) (2023), 60-76. https://doi.org/10.37934/cfdl.15.12.6076

A. M. Wazwaz, The variational iteration method for solving linear and nonlinear ODEs and scientific models with variable coefficients, Central European Journal of Engineering, 4 (2014), 64-71. https://doi.org/10.2478/s13531-013-0141-6

H. Wen, K. Ramanujam, and S. C. Barton, Multiscale carbon materials as supports for bioelectrodes, ECS Transactions, 13(21) (2008), 67. DOI 10.1149/1.3036212

Published

20-02-2025

How to Cite

Dr. V. ANANTHASWAMY. (2025). A SEMI-ANALYTICAL STUDY ON MULTISCALE POROUS BIOCATALYTIC ELECTRODES IN THE ENZYME REACTION PROCESS. Communications in Mathematics and Applications, 15(3). Retrieved from https://rgnpublications.com/journals/index.php/cma/article/view/2821

Issue

Section

Research Article