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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| Published in | Bulletin of mathematical biology Vol. 57; no. 3; pp. 413 - 439 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.05.1995
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| Subjects | |
| Online Access | Get full text |
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| Abstract | 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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| AbstractList | 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.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. 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. |
| Author | Butte, Manish J. Kiemel, Tim Bertram, Richard Sherman, Arthur |
| Author_xml | – sequence: 1 givenname: Richard surname: Bertram fullname: Bertram, Richard – sequence: 2 givenname: Manish J. surname: Butte fullname: Butte, Manish J. – sequence: 3 givenname: Tim surname: Kiemel fullname: Kiemel, Tim – sequence: 4 givenname: Arthur surname: Sherman fullname: Sherman, Arthur |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/7728115$$D View this record in MEDLINE/PubMed |
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| Snippet | We describe a classification scheme for bursting oscillations which encompasses many of those found in the literature on bursting in excitable media. This is... |
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| SubjectTerms | Animals Electrophysiology Islets of Langerhans - physiology Mathematics Models, Biological Neurons - physiology Oscillometry |
| Title | Topological and phenomenological classification of bursting oscillations |
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