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arXiv 2608.25408physics.bio-ph

色散在神经中弹性激发传播模型中的作用

On the Role of Dispersion in One Model of Propagation of Elastic Excitations in Nerves

Alexander I. Kozlov

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中文总结 AI 辅助

该研究针对描述神经动作电位传播的非线性微分方程,探讨色散项取值对其精确周期解和孤立解存在性及形式的影响。

中文摘要 AI 辅助

本文研究了描述动作电位沿神经传播时膜密度变化的非线性微分方程,根据该方程色散项的取值,分析了精确周期解与孤立解的形式及可能存在性。

英文摘要

The nonlinear differential equation, which describes changes of membrane's density in the process of propagation of active potential along a nerve, has been studied. Depending on values of dispersion terms of that equation, forms and possible existence of exact periodic and solitary solutions were considered.

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