A mathematical model of transport and kinetics of substrate, redox-mediator in surface deposited film is discussed. The model is based on the system of non-linear reaction diffusion equations containing a nonlinear term related to the Michaelis-Menten kinetic of the enzymatic reaction. The non-linear reaction diffusion equations in amperometric biosensors are solved using New Homotopy perturbation method. The effect of various parameters on current density is discussed. Numerical simulation for concentration profile and flux was carried out and compared with the analytical results. A satisfactory agreement is noted. A graphical procedure for estimating the kinetic parameters and sensitive analysis is suggested.

讨论了表面沉积膜中底物，氧化还原介体的迁移和动力学的数学模型。该模型基于非线性反应扩散方程式系统，该方程式包含与酶反应的Michaelis-Menten动力学有关的非线性项。使用新的同伦摄动法求解了安培生物传感器中的非线性反应扩散方程。讨论了各种参数对电流密度的影响。进行了浓度分布和通量的数值模拟，并与分析结果进行了比较。注意到令人满意的协议。建议用图形程序估算动力学参数和进行灵敏的分析。