A statistical theory of excitable membranes. Nonlinear force-flux relation and fluctuation

Yoji Aizawa, Yonosuke Kobatake

    研究成果: Article

    抄録

    A statistical theory of an excitable membrane is proposed under the assumptions that the membrane is composed of an ensemble of a number of active patches, and that the flip-flop transition of an active patch is governed by the dissipative interaction caused by an electric eddy current. By the method of expanding the master equation in the system size together with the Gaussian approximation, the time course of an excitation and the steady N-shaped relation between current and voltage are derived from the ensemble theory of open systems. The fluctuation of electric current under a fixed voltage becomes anomalously large in the marginal state at the threshold potential. The fluctuation associated with an action potential increases sharply at the jump-up transition, but it is not so large at the flip-back catastrophe. The fluctuation-dissipation relation at the steady state of the membrane system is discussed on the basis of a variational principle.

    元の言語English
    ページ(範囲)129-139
    ページ数11
    ジャーナルJournal of Statistical Physics
    15
    発行部数2
    DOI
    出版物ステータスPublished - 1976 8

    Fingerprint

    Membrane
    Electric Current
    Fluctuations
    Flip
    membranes
    Patch
    Ensemble
    Voltage
    Gaussian Approximation
    flip-flops
    Catastrophe
    Eddy Currents
    Action Potential
    Open Systems
    electric potential
    variational principles
    Master Equation
    eddy currents
    electric current
    Variational Principle

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Physics and Astronomy(all)
    • Mathematical Physics

    これを引用

    A statistical theory of excitable membranes. Nonlinear force-flux relation and fluctuation. / Aizawa, Yoji; Kobatake, Yonosuke.

    :: Journal of Statistical Physics, 巻 15, 番号 2, 08.1976, p. 129-139.

    研究成果: Article

    Aizawa, Yoji ; Kobatake, Yonosuke. / A statistical theory of excitable membranes. Nonlinear force-flux relation and fluctuation. :: Journal of Statistical Physics. 1976 ; 巻 15, 番号 2. pp. 129-139.
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