Spontaneous action potentials due to channel fluctuations
Spontaneous action potentials due to channel fluctuations
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DOI：
10.1016/s0006-3495(96)79494-8
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发表时间：
1996-12-01
影响因子：
3.4
通讯作者：
White, JA
中科院分区：
文献类型：
--
作者：
Chow, CC;White, JA
对包含随机信道动力学的Hodgkin-Huxley方程进行了理论和数值分析。结果表明，该系统可以用一维双稳态朗之万方程来近似。自发动作电位可以。起因于沟道的起伏，类似于粒子越过势垒逃逸。平均射速可以使用Kramers关于障碍物逃逸的经典结果来计算。还可以估计尖峰间隔的概率密度函数。分析结果与完全随机系统的数值模拟结果进行了比较，结果令人满意。
A theoretical and numerical analysis of the Hodgkin-Huxley equations with the inclusion of stochastic channel dynamics is presented. It is shown that the system can be approximated by a one-dimensional bistable Langevin equation. Spontaneous action potentials can. arise from the channel fluctuations and are analogous to escape by a particle over a potential barrier. The mean firing rate can be calculated using Kramers' classic result for barrier escape. The probability density function of the interspike intervals can also be estimated. The analytical results compare favorably with numerical simulations of the complete stochastic system.