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霍奇金-赫胥黎方程的随机版本。

Stochastic versions of the Hodgkin-Huxley equations.

作者信息

Fox R F

机构信息

School of Physics, Georgia Institute of Technology, Atlanta 30332-0430, USA.

出版信息

Biophys J. 1997 May;72(5):2068-74. doi: 10.1016/S0006-3495(97)78850-7.

DOI:10.1016/S0006-3495(97)78850-7
PMID:9129809
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC1184401/
Abstract

A Hodgkin-Huxley model algorithm for the numerical simulation of noise in neurons is contracted from a master equation description (cellular automoton) into a Langevin description. This reduction reduces the time required for a simulation by about two orders of magnitude. Earlier work is summarized, condensed, and made explicit to make the algorithm transparent and facilitate applications. Two approximate treatments are reported. An extension of this approach is presented that includes spatial dependence and the propagation of a noisy action potential along an axon.

摘要

一种用于神经元噪声数值模拟的霍奇金 - 赫胥黎模型算法从主方程描述(细胞自动机)简化为朗之万描述。这种简化将模拟所需时间减少了约两个数量级。对早期工作进行了总结、提炼并明确阐述,以使算法透明并便于应用。报告了两种近似处理方法。提出了该方法的一种扩展,其中包括空间依赖性以及噪声动作电位沿轴突的传播。

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