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

Yöji Aizawa, Yonosuke Kobatake

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    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
    Issue number4
    Publication statusPublished - 1976 Jul


    ASJC Scopus subject areas

    • Agricultural and Biological Sciences(all)

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