Nonlocal mechanism for cluster synchronization in neural circuits
Department of Physics, Bar-Ilan University - Ramat-Gan 52900, Israel
2 Gonda Interdisciplinary Brain Research Center, and the Goodman Faculty of Life Sciences, Bar Ilan University Ramat-Gan, 52900, Israel
3 Institute for Theoretical Physics, University of Wuerzburg - Am Hubland, 97074 Wuerzburg, Germany, EU
Accepted: 18 February 2011
The interplay between the topology of cortical circuits and synchronized activity modes in distinct cortical areas is a key enigma in neuroscience. We present a new nonlocal mechanism governing the periodic activity mode: the greatest common divisor (GCD) of network loops. For a stimulus to one node, the network splits into GCD-clusters in which cluster neurons are in zero-lag synchronization. For complex external stimuli, the number of clusters can be any common divisor. The synchronized mode and the transients to synchronization pinpoint the type of external stimuli. The findings, supported by an information mixing argument and simulations of Hodgkin-Huxley population dynamic networks with unidirectional connectivity and synaptic noise, call for reexamining sources of correlated activity in cortex and shorter information processing time scales.
PACS: 64.60.aq – Networks / 02.10.Ox – Combinatorics; graph theory
© EPLA, 2011