Control of repetitive firing in squid axon membrane as a model for a neuroneoscillator

R. Guttman, S. Lewis, J. Rinzel

Research output: Contribution to journalArticle

Abstract

Repetitive firing in space-clamped squid axons bathed in low Ca and stimulated by a just suprathreshold step of current can be annihilated by a brief depolarizing or hyperpolarizing pulse of the proper magnitude applied at the proper phase. In response to such perturbations, membrane potential and ionic currents show damped oscillations toward a steady state. For other, non-annihilating, perturbations repetitive firing resumes with unaltered frequency but with phase resetting. Experimental findings are compared with calculations for the space- and current-clamped Hodgkin-Huxley equations. Annihilation of repetitive firing to a steady state corresponds to a solution trajectory perturbed off a stable limit cycle and into the domain of attraction of a coexistent stable singular point. Experimentally and theoretically the nerve exhibits hysteresis with two different stable modes of operation for a just suprathreshold range of bias current: the oscillatory repetitive firing state and the time-independent steady state. Analogy is made to a brief synaptic input (excitatory or inhibitory) which may start or stop a biological pace-maker.

Original languageEnglish (US)
Pages (from-to)377-395
Number of pages19
JournalJournal of Physiology
VolumeVOL.305
StatePublished - 1980

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Decapodiformes
Membrane Potentials
Axons
Membranes

ASJC Scopus subject areas

  • Physiology

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Control of repetitive firing in squid axon membrane as a model for a neuroneoscillator. / Guttman, R.; Lewis, S.; Rinzel, J.

In: Journal of Physiology, Vol. VOL.305, 1980, p. 377-395.

Research output: Contribution to journalArticle

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