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Mathematical simulation of enzyme biosensors with multilaryer chaged membranes

机译:具有多层膜的酶生物传感器的数学模拟

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Mathematical model of the enzyme biosensor with multilayer charged membrane is developed. The charged layer of membrane is supposed to be penetrable for any particles and formed by built-in uniformly distributed charge. The Michaelis-menten theory is used for desription of the reaction velocity. The model is reducted to one-dimensional initial boundary value problem for the system of second-order partial differential equations describing diffusion-drift transoport of reaction components and products in memberane and Poission equation for e lectrostatic potential. The discrete model is constructed. The results of numerical experiment are in good qualitative fit with results of physical one. Created package can be easily adopted for memberanes with any number of layers.
机译:开发了具有多层带电膜的酶生物传感器的数学模型。应该为任何颗粒渗透并且通过内置均匀分布的电荷形成的带电层。 Michaelis-Menten理论用于反应速度的描述。该模型被减少到描述反应组分的二阶偏微分方程系统的一维初始边值问题,其在Estentation潜力中的反应组分和产品中的扩散漂移传递。分立模型是构造的。数值实验的结果良好定性符合物理效果。可以轻松地为具有任意数量的图层进行成员来轻松采用创建的包。

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