神经和蝗虫股神经孤立子理论中的周期解和不应期
Periodic solutions and refractory periods in the soliton theory for nerves and the locust femoral nerve
摘要：
接近熔化转变，有可能传播反映神经脉冲的许多实验特征的孤立机电脉冲，包括机械位错和可逆热产生。在这里，我们表明，一个也获得了周期性脉冲产生的可能性时，神经的边界条件是保守的神经的总长度。这种情况在基线下产生下冲（“超极化”）和“不应期”，即，脉冲之间的最小距离。在本文中，我们概述了波动方程的周期解的理论，并比较这些结果从股神经的蝗虫（蝗虫）的动作电位。特别是，我们描述了频繁发生的最小距离的双峰脉冲在这些神经元中看到的，并将它们的周期性脉冲的解决方案。
英文摘要：
Close to melting transitions it is possible to propagate solitary electromechanical pulses which reflect many of the experimental features of the nerve pulse including mechanical dislocations and reversible heat production. Here we show that one also obtains the possibility of periodic pulse generation when the boundary condition for the nerve is the conservation of the overall length of the nerve. This condition generates an undershoot beneath the baseline (`hyperpolarization') and a `refractory period', i.e., a minimum distance between pulses. In this paper, we outline the theory for periodic solutions to the wave equation and compare these results to action potentials from the femoral nerve of the locust (locusta migratoria). In particular, we describe the frequently occurring minimum-distance doublet pulses seen in these neurons and compare them to the periodic pulse solutions.
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