The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Synchronization of Pulse-Coupled Biological Oscillators
Abstract
A simple model for synchronous firing of biological oscillators based on Peskin’s model of the cardiac pacemaker [Mathematical aspects of heart physiology, Courant Institute of Mathematical Sciences, New York University, New York, 1975, pp. 268–278] is studied. The model consists of a population of identical integrate-and-fire oscillators. The coupling between oscillators is pulsatile: when a given oscillator fires, it pulls the others up by a fixed amount, or brings them to the firing threshold, whichever is less. The main result is that for almost all initial conditions, the population evolves to a state in which all the oscillators are firing synchronously. The relationship between the model and real communities of biological oscillators is discussed; examples include populations of synchronously flashing fireflies, crickets that chirp in unison, electrically synchronous pacemaker cells, and groups of women whose menstrual cycles become mutually synchronized.
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Citations
Cites
The Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Model of the Origin of Rhythmic Population Oscillations in the Hippocampal Slice
Traub, R. D., Miles, R., & Wong, R. K. S. (1989) · Science · doi:10.1126/science.2646715 · Cited by 315 · cited 1×
“Examples include the pacemaker cells of the heart [23], [31], [34], [44]; networks of neurons in the circadian pacemaker [9], [33], [47]-[49] and hippocampus [45]; the insulin-secreting cells of the pancreas [38], [39]; crickets that chirp in unison [46]; and groups of women whose menstrual periods become mutually syn…”
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Cited by
Consensus and Cooperation in Networked Multi-Agent Systems
Olfati-Saber, R., Fax, J. A., & Murray, R. M. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2006.887293 · Cited by 10,522
Neuronal Oscillations in Cortical Networks
Buzsáki, G., & Draguhn, A. (2004) · Science · doi:10.1126/science.1099745 · Cited by 6,576
Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks
Bartos, M., Vida, I., & Jonas, P. (2007) · Nature Reviews Neuroscience · doi:10.1038/nrn2044 · Cited by 2,070
Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009) · IEEE Control Systems · doi:10.1109/mcs.2008.931718 · Cited by 1,656
A synchronized quorum of genetic clocks
Danino, T., Mondragón-Palomino, O., Tsimring, L., & Hasty, J. (2010) · Nature · doi:10.1038/nature08753 · Cited by 992
Metadata
- Authors
- Mirollo, R. E., & Strogatz, S. H.
- Venue
- SIAM Journal on Applied Mathematics
- Published
- 1990-12
- Volume
- 50
- Issue
- 6
- Pages
- 1645-1662
- ISSN
- 0036-1399 (ISSN-L)
- 1095-712X
- OpenAlex
- W2154953441
- Cited by
- 2,074
- References
- 2
- FWCI
- 13.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mirollo, R. E., & Strogatz, S. H. (1990). Synchronization of Pulse-Coupled Biological Oscillators. SIAM Journal on Applied Mathematics. https://doi.org/10.1137/0150098
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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.
