ArticleBulletin of mathematical biology1995
Topological and phenomenological classification of bursting oscillations.
Article in Bulletin of mathematical biology, 1995. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 58 papers.
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Who cites it
58 citing papers in PubMed.
- Are physiological oscillations physiological?The Journal of physiology · 2026Review
- On the role of L-type Ca2+ and BK channels in a biophysical model of cartwheel interneurons.PLoS computational biology · 2026Article
- Spaces and sequences in the hippocampus: a homological perspective.Journal of computational neuroscience · 2026Article
- In vivo neural activity of electrosensory pyramidal cells: Biophysical characterization and phenomenological modeling.PLoS computational biology · 2025Article
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- Interleaved single and bursting spiking resonance in neurons.PLoS computational biology · 2025Article
- Persistent Interruption in Parvalbumin-Positive Inhibitory Interneurons: Biophysical and Mathematical Mechanisms.eNeuro · 2024Article
- ElecFeX is a user-friendly toolbox for efficient feature extraction from single-cell electrophysiological recordings.Cell reports methods · 2024Article
- Persistent Interruption in Parvalbumin Positive Inhibitory Interneurons: Biophysical and Mathematical Mechanisms.bioRxiv : the preprint server for biology · 2024Article
- Deconstructing the integrated oscillator model for pancreatic β-cells.Mathematical biosciences · 2023Article
- Low-dimensional models of single neurons: a review.Biological cybernetics · 2023Review
- Slow negative feedback enhances robustness of square-wave bursting.Journal of computational neuroscience · 2023Article
- A model for the collective synchronization of flashing inJournal of the Royal Society, Interface · 2022Article
- Classification of bursting patterns: A tale of two ducks.PLoS computational biology · 2022Review
- Article
- Contributions of h- and NaFrontiers in cellular neuroscience · 2021Article
- Bursting in cerebellar stellate cells induced by pharmacological agents: Non-sequential spike adding.PLoS computational biology · 2020Article
- A Dynamical Paradigm for Molecular Cell Biology.Trends in cell biology · 2020Review
- Optimal solid state neurons.Nature communications · 2019Article
Corrections and comments
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Authors and funding
4 authors.
Funding
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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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.