关于霍奇金-赫胥黎方程的亚阈值解
On subthreshold solutions of the Hodgkin-Huxley equations.
作者信息
Sirovich L, Knight B W
出版信息
Proc Natl Acad Sci U S A. 1977 Dec;74(12):5199-202. doi: 10.1073/pnas.74.12.5199.
Abstract
Subthreshold solutions of the Hodgkin-Huxley equations are considered here by means of the linearized forms of these equations. An asymptotic theory is obtained, based on dimensional analysis and scaling arguments. Explicit expressions for the crest speed are obtained and are shown to be in good agreement with experiment, with computation, and with an exact asymptotic value which is also obtained here.
摘要
本文通过 Hodgkin-Huxley 方程的线性化形式来研究其亚阈值解。基于量纲分析和尺度论证得到了一个渐近理论。得到了波峰速度的显式表达式，并表明其与实验、计算结果以及在此也得到的精确渐近值都非常吻合。
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