Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks

Emergence of complex oscillatory dynamics in the neuronal networks with long activity time of inhibitory synapses

“…In the main model, we assumed that the network’s connectivity is random ( Figures 1 A and 1B). 3 , 27 , 60 , 62 , 83 , 84 , 85 , 86 , 87 , 88 , 89 Although this topology is a good approximation for brain connectivity on small scales ( microns), it does not take into account the decrease in connection probability with distance, 82 or the presence of long-range connections between different regions. 90 To test how changes in topology affect the results and to incorporate long-range connections, we constructed a small-world network by rewiring the excitatory connections in a regular network (see Figures S5 A and S5B, and STAR Methods ).…”