Mathematical Modeling of pH-Based Potentiometric Biosensor Using Akbari-Ganji Method

被引：20

作者：

Shanthi, R. ^{[1
]}

Devi, M. Chitra ^{[2
]}

Abukhaled, Marwan ^{[3
]}

Lyons, Michael E. G. ^{[4
,5
]}

Rajendran, L. ^{[1
]}

机构：

[1] AMET Deemed Univ, Dept Math, Chennai, Tamil Nadu, India

[2] Anna Univ, Univ Coll Engn, Dept Math, Dindigul, India

[3] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

[4] Univ Dublin, Trinity Coll Dublin, Sch Chem, Dublin 2, Ireland

[5] Univ Dublin, Trinity Coll Dublin, AMBER Natl Ctr, Dublin 2, Ireland

来源：

INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE | 2022年 / 17卷 / 03期

关键词：

Mathematical modeling; reaction-diffusion; pH-based potentiometric biosensor; Akbari-Ganji method; nonlinear equations; MICHAELIS-MENTEN KINETICS; ORGANOPHOSPHATE; PESTICIDES; PHOSPHOTRIESTERASE;

D O I：

10.20964/2022.03.48

中图分类号：

O646 [电化学、电解、磁化学];

学科分类号：

081704 ;

摘要：

This study discusses a mathematical model for the steady-state reaction of a pH-based potentiometric biosensor immobilizing organophosphorus hydrolase (OPH). The model that combines diffusion and enzymatic reaction processes in the membrane is a system of five interconnected nonlinear reaction-diffusion equations. Approximate analytical expressions for the substrate concentration (organophosphorus pesticides (OPs)) and products are derived for all possible values of Thiele modulus and buffer concentration using the Akbari-Ganji method. In addition, analytical expressions for the current, sensitivity, and resistance of pH-based potentiometric biosensors are also derived. The obtained analytical results are convergent on the prescribed domain and firmly match the fourth-order RungeKutta numerical simulations.

引用

页数：13

共 44 条

[1]

Abukhaled M., 2021, Int. J. Appl. Comp. Math., V7, P1, DOI DOI 10.1007/S40819-021-00974-Y

[2] Efficient numerical treatment of a conductive-radiative fin with temperature-dependent thermal conductivity and surface emissivity [J].

Abukhaled, Marwan ;

Khuri, S. A. .

INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2020, 21 (04) :159-168

[3] Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology [J].

Abukhaled, Marwan .

JOURNAL OF MATHEMATICS, 2013, 2013

[4] Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM [J].

Akbari M.R. ;

Ganji D.D. ;

Majidian A. ;

Ahmadi A.R. .

Frontiers of Mechanical Engineering, 2014, 9 (2) :177-190

[5]

Akbari M. R., 2014, Dev. Appl. Oceanic. Eng, V3, P22

[6]

Baronas R, 2010, SPRINGER SER CHEM SE, V9, P1, DOI 10.1007/978-90-481-3243-0

[7] PH-BASED ENZYME POTENTIOMETRIC SENSORS .1. THEORY [J].

CARAS, SD ;

JANATA, J ;

SAUPE, D ;

SCHMITT, K .

ANALYTICAL CHEMISTRY, 1985, 57 (09) :1917-1920

[8] Amperometric biosensors in an uncompetitive inhibition processes: a complete theoretical and numerical analysis [J].

Devi, M. Chitra ;

Pirabaharan, P. ;

Rajendran, L. ;

Abukhaled, Marwan .

REACTION KINETICS MECHANISMS AND CATALYSIS, 2021, 133 (02) :655-668

[9]

DUMAS DP, 1989, BIOTECHNOL APPL BIOC, V11, P235

[10]

DUMAS DP, 1989, J BIOL CHEM, V264, P19659

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