论文标题
可激发细胞的回忆模型
Memristive Model of Excitable Cells
论文作者
论文摘要
本文对生物系统的兴奋膜进行了深入的分析。我们严格地从Chay神经元模型中证明，在令人兴奋的细胞中，国家依赖性电压敏感性钾离子通道和钙灵敏的钾离子通道是无效的通用备忘录，而状态独立的混合钠和钙离子 - 离子 - 离子 - 离子 - 纳尔层是无膜的（非线性电阻器）的元素元素元素。还通过小信号模型，极点零图，局部活动原理，混乱和Hopf-Bifurcitation定理分析了可激发细胞中周期性振荡，周期性（混沌）振荡，尖峰和爆发的机制。还表明，在两个分叉点内，零元素（相当于特征值）的复合偶联和正真实部分的存在导致易元膜中复杂的电信号产生。
This paper presents in-depth analysis of the excitable membranes of a biological system. We rigorously prove from the Chay neuron model that the state dependent voltage-sensitive potassium ion-channel and calcium sensitive potassium ion-channel in excitable cells are in-fact generic memristors and state independent mixed sodium and calcium ion-channel is non-memristive (nonlinear resistor) element in the perspective of electrical circuit theory. The mechanism to give the rise of the periodic oscillation, aperiodic (chaotic) oscillation, spikes and bursting in excitable cells are also analyzed via the small-signal model, pole-zero diagram, local-activity principle, edge of chaos and Hopf-bifurcation theorem. It is also shown that the presence of complex-conjugate and positive real part of zeros (equivalent to the Eigenvalues) of the admittance function inside the two bifurcation points lead to the generation of complicated electrical signals in excitable membrane.
