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The Topology of Phase Response Curves Induced by Single and Paired Stimuli in Spontaneously Oscillating Chick Heart Cell Aggregates

Department of Physiology, 3655 Drummond Street, McGill University, Montréal, Québec H3G 1Y6, Canada

Leon Glass

Department of Physiology, 3655 Drummond Street, McGill University, Montréal, Québec H3G 1Y6, Canada

Alvin Shrier

Department of Physiology, 3655 Drummond Street, McGill University, Montréal, Québec H3G 1Y6, Canada

The topological properties of the phase resetting of biological oscillators by an isolated stimulus delivered at various phases of the cycle depend on whether the stimulus is "weak" or "strong." When multiple stimuli are delivered to the oscillator, the response to stimulation also depends on the time between the stimuli, and the rate at which the oscillator returns to an underlying limit cycle attractor. If the time between two consecutive "weak" stimuli is sufficiently short, the effects produced by the pair of stimuli may be characteristic of a single "strong" stimulus. These results are demonstrated in a model experimental system, spontaneously beating aggregates of cells derived from embryonic chick heart, and are illustrated by consideration of a simple theoretical model of nonlinear oscillators, the Poincaré oscillator.

Key Words: limit cycle oscillation • biological rhythm • phase resetting

Journal of Biological Rhythms, Vol. 7, No. 2, 89-104 (1992)
DOI: 10.1177/074873049200700201


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