title: Effects of synaptic plasticity on phase and period locking in a network of two oscillatory neurons.
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.
authors.affiliation: Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ, 07102, USA.
authors.forename: Zeynep
authors.initials: Z
authors.lastname: Akcay
authors.affiliation: Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ, 07102, USA.
authors.forename: Amitabha
authors.initials: A
authors.lastname: Bose
authors.affiliation: Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ, 07102, USA ; Federated Department of Biological Sciences, New Jersey Institute of Technology and Rutgers University, Newark, NJ, 07102, USA.
authors.forename: Farzan
authors.initials: F
authors.lastname: Nadim
keywords: Oscillatory neural network; Phase locking; Phase response curve; Short-term synaptic plasticity