Topological and phenomenological classification of bursting oscillations

We describe a classification scheme for bursting oscillations which encompasses many of those found in the literature on bursting in excitable media. This is an extension of the scheme of Rinzel (in Mathematical Topics in Population Biology, Springer, Berlin, 1987), put in the context of a sequence...

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Bibliographic Details
Published inBulletin of mathematical biology Vol. 57; no. 3; pp. 413 - 439
Main Authors Bertram, Richard, Butte, Manish J., Kiemel, Tim, Sherman, Arthur
Format Journal Article
LanguageEnglish
Published United States 01.05.1995
Subjects
Animals
Electrophysiology
Islets of Langerhans - physiology
Mathematics
Models, Biological
Neurons - physiology
Oscillometry
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Summary:We describe a classification scheme for bursting oscillations which encompasses many of those found in the literature on bursting in excitable media. This is an extension of the scheme of Rinzel (in Mathematical Topics in Population Biology, Springer, Berlin, 1987), put in the context of a sequence of horizontal cuts through a two-parameter bifurcation diagram. We use this to describe the phenomenological character of different types of bursting, addressing the issue of how well the bursting can be characterized given the limited amount of information often available in experimental settings.
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ISSN:0092-8240
1522-9602
DOI:10.1007/BF02460633