A theory of oscillatory instability in two-state systems in relation to nerve excitation

Yöji Aizawa, Yonosuke Kobatake

    Research output: Contribution to journalArticle

    Abstract

    The oscillatory aspect in a system having two steady states is studied theoretically using a model of excitable nerve membrane. The condition for the occurrence of oscillatory instability is discussed on the basis of the kinetic picture of nerve excitation in consideration of the non-Markoffian effect caused by ion transport in the system. Small oscillations around a steady state as well as a giant fluctuation between two states are obtained. Results are compared with experiments carried out with squid giant axons perfused intracellularly.

    Original languageEnglish
    Pages (from-to)351-358
    Number of pages8
    JournalBulletin of Mathematical Biology
    Volume38
    Issue number4
    DOIs
    Publication statusPublished - 1976 Jul

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    Decapodiformes
    Ion Transport
    Nerve
    Axons
    nerve tissue
    Excitation
    Ions
    Membranes
    SQUID
    Kinetics
    ion transport
    squid
    axons
    oscillation
    Membrane
    Experiments
    Oscillation
    Fluctuations
    membrane
    kinetics

    ASJC Scopus subject areas

    • Agricultural and Biological Sciences(all)

    Cite this

    A theory of oscillatory instability in two-state systems in relation to nerve excitation. / Aizawa, Yöji; Kobatake, Yonosuke.

    In: Bulletin of Mathematical Biology, Vol. 38, No. 4, 07.1976, p. 351-358.

    Research output: Contribution to journalArticle

    Aizawa, Yöji ; Kobatake, Yonosuke. / A theory of oscillatory instability in two-state systems in relation to nerve excitation. In: Bulletin of Mathematical Biology. 1976 ; Vol. 38, No. 4. pp. 351-358.
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