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

Tang Wen-liang

Volume 4 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(1): 113-121

Tang Wen-liang. One Type of Solutions of Conduction of Nervous Pulses and the Stability of Action Potential[J]. Applied Mathematics and Mechanics, 1983, 4(1): 113-121.

Citation:

Tang Wen-liang. One Type of Solutions of Conduction of Nervous Pulses and the Stability of Action Potential[J]. Applied Mathematics and Mechanics, 1983, 4(1): 113-121.

Citation:

Tang Wen-liang. One Type of Solutions of Conduction of Nervous Pulses and the Stability of Action Potential[J]. Applied Mathematics and Mechanics, 1983, 4(1): 113-121.

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

Tang Wen-liang

Shanxi University, Taiyuan

Received Date: 1982-06-10
Publish Date: 1983-02-15

Abstract

Abstract

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.

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References(4)

References

[1]	Maximow,A.A.,William Bloom and D.W.Fawcett,A Textbook of Histology,9th ed.(1968).
[2]	Tribe,Michael A.and Michael R.Eraut,Nerves and Muscle,(1977).
[3]	Hodgkin,A.L.,and A.F.,Huxley,J.Physiol,117:500,(1952),128:28(1955).
[4]	Hermann,Haken,Synergetics,(1977).

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