Lecar H, Nossal R
Biophys J. 1971 Dec;11(12):1048-67. doi: 10.1016/S0006-3495(71)86277-X.
Relations describing threshold fluctuation phenomena in nerves are derived by calculating the approximate response of the Hodgkin-Huxley (HH) axon to electrical noise. We use FitzHugh's reduced phase space approximation and describe the dynamics of a noisy nerve by a two-dimensional brownian motion. The theory predicts the functional form and parametric dependence of the relation between probability of firing and stimulus strength. Expressions are also obtained for the firing probability as a function of stimulus duration and for the distribution of latency times as a function of stimulus strength.
通过计算霍奇金-赫胥黎(HH)轴突对电噪声的近似响应,得出了描述神经阈值波动现象的关系式。我们使用菲茨休的约化相空间近似法,并用二维布朗运动来描述有噪声神经的动力学。该理论预测了发放概率与刺激强度之间关系的函数形式和参数依赖性。还得到了作为刺激持续时间函数的发放概率表达式,以及作为刺激强度函数的潜伏期分布表达式。