Effects of Synaptic Plasticity on Phase and Period Locking in a Network of Two Oscillatory Neurons

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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.

Original languageEnglish (US)
Article number8
Pages (from-to)1-29
Number of pages29
JournalJournal of Mathematical Neuroscience
Volume4
Issue number1
DOIs
StatePublished - Dec 1 2014

All Science Journal Classification (ASJC) codes

  • Neuroscience (miscellaneous)

Keywords

  • Oscillatory neural network
  • Phase locking
  • Phase response curve
  • Short-term synaptic plasticity

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