Entrainment in pacemakers characterized by a V-shaped PRC
type: Item
instance of: scholarly article
title: Entrainment in pacemakers characterized by a V-shaped PRC
zbMATH Open document ID: 0617.92008
DOI: 10.1007/BF00275639
published in: Journal of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
review text: The behaviour of a class of pacemakers characterized by a V-shaped PRC has been determined, for all possible frequencies and amplitudes of stimulation. The analytical study of the phase transition equation reveals that all rhythmic stimuli, but for a set of measure zero, give rise to entrainment. The ratio between firing and stimulation frequencies is a generalized Cantor function of the ratio between spontaneous and stimulation frequencies. A procedure to compute the detailed input/output pattern that underlies each entrainment ratio is given. Finally, the neurophysiological assumptions and implications of the results obtained are discussed.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 4001925
zbMATH Keywords: oscillators
zbMATH Keywords: phase response curves
zbMATH Keywords: neurophysiology
zbMATH Keywords: pacemakers
zbMATH Keywords: V-shaped PRC
zbMATH Keywords: phase transition equation
zbMATH Keywords: rhythmic stimuli
zbMATH Keywords: entrainment
zbMATH Keywords: stimulation frequencies
zbMATH Keywords: generalized Cantor function
author: Carme Torras i Genis
MaRDI profile type: Publication
Wikidata QID: Q52429781
cites work: Q4183151
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full work available at URL: https://doi.org/10.1007/bf00275639
OpenAlex ID: W2022248080
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description: scientific article; zbMATH DE number 4001925