ArticleJournal of mathematical neuroscience2014
Effects of synaptic plasticity on phase and period locking in a network of two oscillatory neurons.
Article in Journal of mathematical neuroscience, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays.Mathematical biosciences · 2024Article
- A Scalar Poincaré Map for Anti-phase Bursting in Coupled Inhibitory Neurons With Synaptic Depression.Frontiers in applied mathematics and statistics · 2022Article
- Phase-locking and bistability in neuronal networks with synaptic depression.Physica D. Nonlinear phenomena · 2018Article
- Phase changes in neuronal postsynaptic spiking due to short term plasticity.PLoS computational biology · 2017Article
- Functional roles of short-term synaptic plasticity with an emphasis on inhibition.Current opinion in neurobiology · 2017Review
- Phase-resetting as a tool of information transmission.Current opinion in neurobiology · 2015Review
- The frequency preference of neurons and synapses in a recurrent oscillatory network.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2014Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
We study the effects of synaptic plasticity on the determination of firing period and relative phases in a network of two oscillatory neurons coupled with reciprocal inhibition. We combine the phase response curves of the neurons with the short-term synaptic plasticity properties of the synapses to define Poincaré maps for the activity of an oscillatory network. Fixed points of these maps correspond to the phase-locked modes of the network. These maps allow us to analyze the dependence of the resulting network activity on the properties of network components. Using a combination of analysis and simulations, we show how various parameters of the model affect the existence and stability of phase-locked solutions. We find conditions on the synaptic plasticity profiles and the phase response curves of the neurons for the network to be able to maintain a constant firing period, while varying the phase of locking between the neurons or vice versa. A generalization to cobwebbing for two-dimensional maps is also discussed.
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