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Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Feb;85(2 Pt 1):021908. Epub 2012 Feb 13.

Nonlinear-dynamics theory of up-down transitions in neocortical neural networks.

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1
Department of Physics and Astronomy, University of California, Los Angeles, Los Angeles, California 90095-1547, USA.

Abstract

The neurons of the neocortex show ~1-Hz synchronized transitions between an active up state and a quiescent down state. The up-down state transitions are highly coherent over large sections of the cortex, yet they are accompanied by pronounced, incoherent noise. We propose a simple model for the up-down state oscillations that allows analysis by straightforward dynamical systems theory. An essential feature is a nonuniform network geometry composed of groups of excitatory and inhibitory neurons with strong coupling inside a group and weak coupling between groups. The enhanced deterministic noise of the up state appears as the natural result of the proximity of a partial synchronization transition. The synchronization transition takes place as a function of the long-range synaptic strength linking different groups of neurons.

PMID:
22463245
DOI:
10.1103/PhysRevE.85.021908
[Indexed for MEDLINE]
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