ArticleBulletin of mathematical biology1994
Anti-phase, asymmetric and aperiodic oscillations in excitable cells--I. Coupled bursters.
Article in Bulletin of mathematical biology, 1994. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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16 citing papers in PubMed, 85 citations in OpenAlex.
- Conversion of spikers to bursters in pituitary cell networks: Is it better to disperse for maximum exposure or circle the wagons?PLoS computational biology · 2024Article
- A primer on modelling pancreatic islets: from models of coupled β-cells to multicellular islet models.Islets · 2023Review
- Deconstructing the integrated oscillator model for pancreatic β-cells.Mathematical biosciences · 2023Article
- Network Properties of Electrically Coupled Bursting Pituitary Cells.Frontiers in endocrinology · 2022Article
- When two wrongs make a right: synchronized neuronal bursting from combined electrical and inhibitory coupling.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2017Article
- Weakly coupled oscillators in a slowly varying world.Journal of computational neuroscience · 2016Article
- Bursting synchronization dynamics of pancreatic β-cells with electrical and chemical coupling.Cognitive neurodynamics · 2013Article
- Conflicting effects of excitatory synaptic and electric coupling on the dynamics of square-wave bursters.Journal of computational neuroscience · 2011Article
- Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator.Journal of computational neuroscience · 2011Article
- Just a phase they're going through: the complex interaction of intrinsic high-threshold bursting and gap junctions in the generation of thalamic alpha and theta rhythms.International journal of psychophysiology : official journal of the International Organization of Psychophysiology · 2007Review
- Diffusion of calcium and metabolites in pancreatic islets: killing oscillations with a pitchfork.Biophysical journal · 2006Article
- Periodicity, mixed-mode oscillations, and quasiperiodicity in a rhythm-generating neural network.Biophysical journal · 2002Article
- Dynamical complexity and temporal plasticity in pancreatic beta-cells.Journal of biosciences · 2000Review
- Oscillation of gap junction electrical coupling in the mouse pancreatic islets of Langerhans.The Journal of physiology · 1997Article
- Anti-phase, asymmetric and aperiodic oscillations in excitable cells--I. Coupled bursters.Bulletin of mathematical biology · 1994Article
- Estimating the strength and direction of functional coupling in the lamprey spinal cord.Journal of computational neuroscienceArticle
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1 author at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
I seek to explain phenomena observed in simulations of populations of gap junction-coupled bursting cells by studying the dynamics of identical pairs. I use a simplified model for pancreatic beta-cells and decompose the system into fast (spike-generating) and slow subsystems to show how bifurcations of the fast subsystem affect bursting behavior. When coupling is weak, the spikes are not in phase but rather are anti-phase, asymmetric or quasi-periodic. These solutions all support bursting with smaller amplitude spikes than the in-phase case, leading to increased burst period. A key geometrical feature underlying this is that the in-phase periodic solution branch terminates in a homoclinic orbit. The same mechanism also provides a model for bursting as an emergent property of populations; cells which are not intrinsic bursters can burst when coupled. This phenomenon is enhanced when symmetry is broken by making the cells differ in a parameter.
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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.