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Phase Resetting of Respiratory Rhythm Studied in a Model of a Limit-Cycle Oscillator: Influence of Stochastic Processes

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Respiratory Control

Abstract

An oscillatory process can be perturbed by a stimulus that briefly alters rhythmic activity. When the oscillator recovers its previous rhythm, its phase may be reset relative to the control rhythm. The amount of phase resetting depends upon the strength of the stimulus and the time in the oscillatory cycle at which it is given. A systematic description of resetting of an oscillator therefore requires expression of the resetting as functions of timing of the stimulus in the cycle and its strength. In previous experimental work in cats,1,2 we studied resetting of respiratory rhythm as a function of stimulus strength and its timing within the cycle. This function, when plotted in three dimensions, depicted a helicoid surface whose axis represented the phase singularity of a limit-cycle oscillator.

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© 1989 Plenum Press, New York

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Eldridge, F.L., Paydarfar, D. (1989). Phase Resetting of Respiratory Rhythm Studied in a Model of a Limit-Cycle Oscillator: Influence of Stochastic Processes. In: Swanson, G.D., Grodins, F.S., Hughson, R.L. (eds) Respiratory Control. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0529-3_41

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  • DOI: https://doi.org/10.1007/978-1-4613-0529-3_41

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-7851-1

  • Online ISBN: 978-1-4613-0529-3

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