Suppression of synchronous spiking in two interacting populations of excitatory and inhibitory quadratic integrate-and-fire neurons
arXiv:2103.00867 · doi:10.1103/PhysRevE.104.014203
Abstract
Collective oscillations and their suppression by external stimulation are analyzed in a large-scale neural network consisting of two interacting populations of excitatory and inhibitory quadratic integrate-and-fire neurons. In the limit of an infinite number of neurons, the microscopic model of this network can be reduced to an exact low-dimensional system of mean-field equations. Bifurcation analysis of these equations reveals three different dynamic modes in a free network: a stable resting state, a stable limit cycle, and bistability with a coexisting resting state and a limit cycle. We show that in the limit cycle mode, high-frequency stimulation of an inhibitory population can stabilize an unstable resting state and effectively suppress collective oscillations. We also show that in the bistable mode, the dynamics of the network can be switched from a stable limit cycle to a stable resting state by applying an inhibitory pulse to the excitatory population. The results obtained from the mean-field equations are confirmed by numerical simulation of the microscopic model.
arXiv comment11 figures
References in corpus (11)
- Synchronization in complex networks
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Synchronization in Complex Oscillator Networks and Smart Grids
- Synchronization of Micromechanical Oscillators Using Light
- Macroscopic description for networks of spiking neurons
- FitzHugh-Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena
- Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks
- Theta-nested gamma oscillations in next generation neural mass models
- From quasiperiodic partial synchronization to collective chaos in populations of inhibitory neurons with delay
- Exact mean-field theory explains the dual role of electrical synapses in collective synchronization
- Symmetry breaking in two interacting populations of quadratic integrate-and-fire neurons