Department of Mathematics, AMET Deemed to be University, Kanathur, Chennai, Tamilnadu 603112, India.
Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai, Tamilnadu 625002, India.
J Phys Chem B. 2024 Jul 4;128(26):6308-6316. doi: 10.1021/acs.jpcb.4c02673. Epub 2024 Jun 18.
The enzymatic biosensors' response can be monitored based on the results of nonlinear differential equations. The nonlinear reaction-diffusion equations proposed for this enzyme-based electrochemical biosensor include a nonlinear term associated with Michaelis-Menten kinetics. Herein, the system of nonlinear reaction-diffusion equations is solved using a modified homotopy perturbation method. For all values of the rate constants, the approximate analytical expressions for the concentration profiles, current, sensitivity, and gradient of biosensor have been determined. Performance factors of an enzymatic electrochemical biosensor, such as response time, sensitivity, accuracy, and resistance, are discussed. The analytical results and numerically simulated outcomes using Matlab software have been compared.
基于非线性微分方程的结果，可以监测酶生物传感器的响应。为这个基于酶的电化学生物传感器提出的非线性反应-扩散方程包括与米氏动力学相关的非线性项。在这里，使用修正的同伦摄动法来求解非线性反应-扩散方程组。对于所有速率常数的值，已经确定了浓度分布、电流、灵敏度和生物传感器梯度的近似解析表达式。讨论了电化学生物传感器的性能因素，如响应时间、灵敏度、准确性和阻力。比较了使用 Matlab 软件的分析结果和数值模拟结果。
