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Reliable Method for Steady-State Concentrations and Current over the Diagnostic Biosensor Transducers

机译：在诊断生物传感器上的稳态浓度和电流的可靠方法

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摘要

A mathematical modelling of diagnostic biosensors system at three basic types of enzyme kinetics is discussed in the presence of diffusion. Enzyme kinetics is adopted to be first order, Michaelis-Menten and ping-pong mechanism. In this paper, approximate analytical solutions are obtained for the non-linear equations under steady-state conditions by using the new Homotopy perturbation method. Simple and closed forms of analytical expressions for concentrations of substrate, product and co-substrate and corresponding current response have been derived for all possible values of parameters. Furthermore, the numerical simulation of the problem is also reported here by using Matlab program. Good agreement between analytical and numerical results is noted.
机译：在扩散存在下讨论了三种基本类型的酶动力学诊断生物传感器系统的数学建模。采用酶动力学是第一阶，Michaelis-Menten和Ping-Pong机制。本文通过使用新的同型扰动方法，在稳态条件下为非线性方程获得近似分析溶液。用于浓度的基板，产品和共衬底和相应的电流响应的简单和封闭形式的分析表达式用于所有可能的参数值。此外，通过使用MATLAB程序还报告了问题的数值模拟。注意到分析和数值结果之间的良好一致性。

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