ArticlePhysica D. Nonlinear phenomena2018
Phase-locking and bistability in neuronal networks with synaptic depression.
Article in Physica D. Nonlinear phenomena, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 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
- Article
- The Roles of Potassium and Calcium Currents in the Bistable Firing Transition.Brain sciences · 2023Article
- The Role of Potassium and Calcium Currents in the Bistable Firing Transition.bioRxiv : the preprint server for biology · 2023Article
- A Scalar Poincaré Map for Anti-phase Bursting in Coupled Inhibitory Neurons With Synaptic Depression.Frontiers in applied mathematics and statistics · 2022Article
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Authors and funding
4 authors.
Funding
Abstract
We consider a recurrent network of two oscillatory neurons that are coupled with inhibitory synapses. We use the phase response curves of the neurons and the properties of short-term synaptic depression to define Poincaré maps for the activity of the network. The fixed points of these maps correspond to phase-locked modes of the network. Using these maps, we analyze the conditions that allow short-term synaptic depression to lead to the existence of bistable phase-locked, periodic solutions. We show that bistability arises when either the phase response curve of the neuron or the short-term depression profile changes steeply enough. The results apply to any Type I oscillator and we illustrate our findings using the Quadratic Integrate-and-Fire and Morris-Lecar neuron models.
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