Journal
PHYSICAL REVIEW E
Volume 85, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.85.021908
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Funding
- NSF [0969034]
- NIH/CRCNS [1-5R01MH092925-02]
- Whitehall Foundation
- W. M. Keck Foundation
- NSF via DMR [1006128, 0907212]
- Direct For Computer & Info Scie & Enginr [0969034] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien [0907212] Funding Source: National Science Foundation
- Division Of Materials Research [0907212] Funding Source: National Science Foundation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1006128] Funding Source: National Science Foundation
- Div Of Information & Intelligent Systems [0969034] Funding Source: National Science Foundation
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The neurons of the neocortex show similar to 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.
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