AUTOMATIC COMPUTATION OF NERVE EXCITATION - DETAILED CORRECTIONS AND ADDITIONS
AUTOMATIC COMPUTATION OF NERVE EXCITATION - DETAILED CORRECTIONS AND ADDITIONS
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DOI：
10.1137/0107037
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发表时间：
1959-01-01
期刊：
影响因子：
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通讯作者：
ANTOSIEWICZ, HA
中科院分区：
文献类型：
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作者：
FITZHUGH, R;ANTOSIEWICZ, HA
导论.先前的论文[1]提出了鱿鱼巨杉膜的Hodgkin-Huxley方程[2]的解，该解是用国家标准局数字计算机SEAC获得的。在SEAC程序中发现了一个编码错误。本文将描述这个错误的影响，计算和目前的修正，以及一些新的结果，获得了与该局目前的IBM 704。这些重新计算的初步报告已在其他地方发表[3，4]。关于方程和计算方法的说明，读者可参考文献[1]。以前发表的解都是针对”空间钳”的情况，其中所有的状态变量（I，V，n，m，h）在膜表面上都是空间均匀的，只随时间t变化。此外，膜电流I被任意指定为输入函数（“电流钳”情况）。为了便于计算传播的动作电位，IBM 704进行了进一步的计算，其中所有状态变量都是x（沿轴突的距离）和t的函数，根据电缆方程，I与OV/Ox成比例[2]。
Introduction. A previous paper [1] presented solutions of the Hodgkin-Huxley equations [2] for the squid giantaxon membrane, obtained with the National Bureau of Standards digital computer SEAC. A coding error has since beenfound in the SEAC program. This paper will describe the effect of this error on the computations and present corrections, as well as some new results, obtained with the Bureau’s present IBM 704. Preliminary accounts of these reeomputations have been published elsewhere [3, 4]. For a description of the equations and method of computation, the reader is referred to [1].The previously published solutionswere all for the" space clamp" ease in which all variables of state (I, V, n, m, h) were assumed to be spatially uniform over the membrane surface, varying only withtime t. Moreover, the membrane current I was specified arbitrarily as an input function (" current clamp" case). Further IBM 704 computations have since been made for the ease of thepropagated action potential, in which all variables of state are functions of x (distance alongthe axon) as well as of t, and I is proportionalto OV/Ox according to the cable equation [2].