神经脉冲传导的一种解与动作势的稳定性

本文提出神经脉冲动作势所遵从的一种规律,用普遍的形式——非线性耗散过程进行讨论.在小耗散的情况下,得到神经波是一种慢变振幅的孤立波;在通常量级耗散的情况下,证明了不能形成孤立子,而得到变幅的行波,在过阻尼的情况下,讨论了各种可能平衡动作势的稳定性及分叉现象.

One Type of Solutions of Conduction of Nervous Pulses and the Stability of Action Potential

This paper reports a type of laws which governs action potential of nervous impulses,and it is discussed by general form-nonlinear dispersive process. We find that the nervous wave is a slowly varying amplitude solitary wave in the small dispersive case. He prove that the solitary wave is not generated in the ordinary dispersion,but a travelling wave with varying amplitudes may be obtained. The stability of various possible action potentials and bifurcation in overdamped case are also discussed in this paper.