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基于霍奇金-赫胥黎方程的随机神经膜模型中的放电行为。

Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley equations.

作者信息

Skaugen E, Walløe L

出版信息

Acta Physiol Scand. 1979 Dec;107(4):343-63. doi: 10.1111/j.1748-1716.1979.tb06486.x.

DOI:10.1111/j.1748-1716.1979.tb06486.x
PMID:543428
Abstract

A nerve membrane model with a two-state pore system was investigated by computer simulation in the uniform (space-clamped) case. Both sodium and potassium conducting pores were modelled, each pore having four independent gates which switched randomly between the open and the closed position, governed by the assumed rate constants. Each pore conducted only when all the gates were open. The model was based upon the Hodgkin-Huxley equations for the giant axon in squid, and in the limit of an infinite number of pores it was identical to these. The firing behaviour of this model as a function of the number of pores and the injected current were investigated. The mean firing frequency and the distribution of interspike intervals were mainly used in the presentation of the results. It was found that for pore numbers less than about 20 000 the main effects due to a finite number of pores were a lowering of the current threshold for firing and a more linear frequency current relationship relative to that of the original H-H equations. For higher pore numbers an increase in the current threshold and a pronounced burst firing close to the threshold were found.

摘要

通过计算机模拟研究了均匀(空间钳制)情况下具有双态孔系统的神经膜模型。对钠和钾传导孔均进行了建模,每个孔有四个独立的门,这些门在打开和关闭位置之间随机切换,由假定的速率常数控制。每个孔仅在所有门都打开时才传导。该模型基于鱿鱼巨轴突的霍奇金 - 赫胥黎方程,在无限数量的孔的极限情况下,它与这些方程相同。研究了该模型作为孔数量和注入电流函数的放电行为。结果呈现主要使用平均放电频率和峰间间隔分布。发现对于小于约20000的孔数量,有限数量的孔产生的主要影响是降低了放电的电流阈值以及相对于原始H - H方程具有更线性的频率 - 电流关系。对于更高的孔数量,发现电流阈值增加且在阈值附近出现明显的爆发式放电。

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Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley equations.基于霍奇金-赫胥黎方程的随机神经膜模型中的放电行为。
Acta Physiol Scand. 1979 Dec;107(4):343-63. doi: 10.1111/j.1748-1716.1979.tb06486.x.
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