AI 中文总结
该研究基于多领域研究总结动作电位与孤子的差异，指出二者出现物理原理不同，通过数值示例展示波产生及相互作用差异，还表明生物膜中孤子产生时间尺度远超动作电位。
AI 中文摘要
在过去十年中，孤子的概念在与动作电位（AP）传播相关的神经科学中被提及。在本文中，基于数学物理和神经科学的许多研究，总结了动作电位和孤子之间的明显差异。强调了动作电位和孤子出现的物理原理有根本不同。从早期研究收集的数值示例明确展示了相应波的产生和相互作用过程中的差异。还指出，尽管生物膜中的纵向机械波可以用布辛涅斯克型方程描述，但从任意初始激发产生孤子的时间尺度大大超过了通常动作电位存在的时间尺度。
英文摘要
During the last decade, the notion of solitons has been mentioned in neuroscience related to the propagation of action potentials (AP). In this paper, based on many studies in mathematical physics and neuroscience, the clear differences between the APs and solitons are summarised. It is stressed that the physics of the emergence of APs and solitons is fundamentally different. The numerical examples collected from earlier studies demonstrate the differences in the process of generation and interaction of corresponding waves explicitly. It is also noted that although the longitudinal mechanical waves in biomembranes can be described by the Boussinesq-type equation, the time-scale of emerging solitons from an arbitrary initial excitation exceeds the time-scale of the usual AP existence considerably.
Comments8 pages (+ highlights page), including 3 pages of figures (7 figures)
