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Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input
Abstract
Nerve membranes exhibit curious responses to alternating current stimulation, among which are phase locking, as well as responses without apparent periodic pattern. We investigate these phenomena by presenting a complete analysis of the response to periodic input of an integrate-and-fire model, which is a simplified version of the Hodgkin–Huxley theory for space clamped nerves.
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Citations
Cited by
Synchronization of Pulse-Coupled Biological Oscillators
Mirollo, R. E., & Strogatz, S. H. (1990) · SIAM Journal on Applied Mathematics · doi:10.1137/0150098 · Cited by 2,074
Guevara, M. R., & Glass, L. (1982) · Journal of Mathematical Biology · doi:10.1007/bf02154750 · Cited by 259
Muscarinic receptor activation tunes mouse stratum oriens interneurones to amplify spike reliability
Lawrence, J. J., Grinspan, Z. M., Statland, J. M., & McBain, C. J. (2006) · The Journal of Physiology · doi:10.1113/jphysiol.2005.103218 · Cited by 71
Metadata
- Authors
- Keener, J. P., Hoppensteadt, F. C., & Rinzel, J.
- Venue
- SIAM Journal on Applied Mathematics
- Published
- 1981-12
- Volume
- 41
- Issue
- 3
- Pages
- 503-517
- ISSN
- 0036-1399 (ISSN-L)
- 1095-712X
- OpenAlex
- W2040237110
- Cited by
- 291
- References
- 0
- FWCI
- 2.07
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input. https://app.cochat.ai/papers/10.1137/0141042
- The paper
- Keener, J. P., Hoppensteadt, F. C., & Rinzel, J. (1981). Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input. SIAM Journal on Applied Mathematics. https://doi.org/10.1137/0141042
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
