Theoretical analysis of the steady-state responses of an innovative general flexible enzyme-electrode in potentiometric biosensors

被引：0

作者：

Vinayagan, J. Arul ^{[1
]}

Jeyabarathi, P. ^{[2
]}

Rajendran, L. ^{[3
]}

Krishnan, S. Murali ^{[4
]}

机构：

[1] Sethu Inst Technol, Dept Math, Virthunagar 626115, India

[2] Bharath Inst Higher Educ & Res, Dept Math, Chennai 600073, India

[3] AMET, Dept Math, Chennai 603112, India

[4] Anna Univ Reg Campus, Dept Math, Madurai 625019, India

来源：

INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE | 2024年 / 19卷 / 12期

关键词：

Michaelis-Menten kinetics; Enzyme electrode; Akbari-Ganji's method. Adomian; decomposition method; Taylor series method; Reaction-diffusion equation; NONLINEAR DIFFERENTIAL-EQUATIONS; GLUCOSE; BEAM;

D O I：

10.1016/j.ijoes.2024.100853

中图分类号：

O646 [电化学、电解、磁化学];

学科分类号：

081704 ;

摘要：

A mathematical model of potentiometric enzyme electrodes of general shape for a steady-state condition has been proposed. Two nonlinear reaction-diffusion equations for the Michaelis-Menten equation are employed to create the model. These equations describe the amounts of substrates and products in the catalytic layer. Analytical expressions for substrate and product concentrations and the related flux response have been generated for all parameters using the three analytical techniques. The analytical solutions generated thoroughly characterize two kinetic parameters: the unsaturation/saturation parameter and the reaction/diffusion parameter. The influence of the parameters on the biosensor sensitivity is also discussed. Numerical simulation (Scilab/ Matlab) has been performed to validate the new analytical results. There is a noticeable good agreement between the theoretical and numerical results.

引用

页数：12

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