Theory of Wave Propagation in Nervous System : An Example of Dissipative Structure in an Open System

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概要

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• Propagation of an action potential in a nervous cell is studied theoretically on the basis of the notion that the excitation of nerve membrane is a transition between two non-equilibrium steady states. Basic phenomenological equations are derived for the excitation process taking consideration of the long-range dissipative interaction caused by the electric eddy current. Numerical calculations of these equations show the occurrence of a solitary wave of an action potential under appropriate initial and boundary conditions, where both the nonlinear effect of the eddy current and the non-markoffian effect of accumulation of ions at the membrane surface are shown to play a role in the appearance of a nervous soliton. Characteristics of the nervous soliton are studied numerically by the use of a simplified basic equation, and compared with the other types of solitary waves, e.g., the KdV soliton in a shallow water wave and the Toda soliton in a lattice vibration.

• 理論物理学刊行会の論文
• 1975-02-25

著者

• Kobatake Yonosuke

  Faculty Of Pharmaceutical Science Hokkaido University

• Aizawa Yoji

  Faculte Des Sciences Chimie-physique Ii Universite Libre De Bruxelles

• SHlMATANl Yukie

  Faculty of Pharmaceutical Science Hokkaido University

• Shimatani Yukie

  Faculty of Pharmaceutical Science Hokkaido University

関連論文

• Theory of Nerve Excitation in Reference to Energy Dissipation : An Example of Far from Equilibrium System
• Fluctuations in Excitable Membrane
• Synergetic Approach to the Phenomena of Mode-Locking in Nonlinear Systems
• The Wandering Motion on the Lorenz Surface
• Theory of Wave Propagation in Nervous System : An Example of Dissipative Structure in an Open System
• Stochastic Process of Nucleation in the Early Stage

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