神经网络中行波的传播速度分析

Analysis of Speeds of Neuronal Waves

本文研究神经细胞学中一类积分-微分方程行波解的传播速度.众所周知,不同的生物机制通常用不同的方程来模拟,这些方程的行波解具有不同的波速.本文的主要目的就是研究各种不同的生物机制和动力学过程如何影响波速.这些结果对神经科学的研究非常有意义.

This paper studies speeds of traveling wave solutions of scalar integral differential equations. These equations arise from mathematical neurobiology. It is well known that different biological mechanisms are usually modeled by different equations and these equations generate waves with different speeds. The main goal is to compare how various mechanisms, dynamic process （represented by parameters and nonlinear functions） influence the wave-speeds. These results can be applied to computational neuroscience and applied mathematics.