On the Synchronizability of Quadratic Integrate and Fire Neurons

Abstract

Synchronization is a property of complex systems which manifests itself as the emergence of collective behaviour from local interactions. In neural networks, synchronization is observed in both computational models and experimental studies. Here, we investigate the synchronization properties of quadratic integrate and fire (QIF) neurons, from a computational modelling perspective. Analytical results concerning the spiking frequency of the QIF neurons and the relationships between membrane voltage and phase are presented. We give simulation results for a simple network of QIF neurons demonstrating the effects of different types of coupling among the members of the network.