Synchronization-induced spike termination in networks of bistable neurons

We observe and study a self-organized phenomenon whereby the activity in a network of spiking neurons spontaneously terminates. We consider different types of populations, consisting of bistable model neurons connected electrically by gap junctions, or by either excitatory or inhibitory synapses, in a scale-free connection topology. We find that strongly synchronized population spiking events lead to complete cessation of activity in excitatory networks, but not in gap junction or inhibitory networks. We identify the underlying mechanism responsible for this phenomenon by examining the particular shape of the excitatory postsynaptic currents that arise in the neurons. We also examine the effects of the synaptic time constant, coupling strength, and channel noise on the occurrence of the phenomenon. (C) 2018 Elsevier Ltd. All rights reserved.JJT acknowledges financial support from the Spanish Ministry of Science and Technology and the "Agencia Espanola de Investigacion (AEI)" under grant FIS2017-84256-P (FEDER funds). We sincerely thank Sukriye Nihal Agaoglu for valuable discussions. We also gratefully acknowledge the anonymous reviewers for providing useful comments and suggestions, which greatly improved our paper