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Mean-field modeling of the basal ganglia-thalamocortical system. II Dynamics of parkinsonian oscillations.
Neuronal correlates of Parkinson's disease (PD) include a shift to lower frequencies in the electroencephalogram (EEG) and enhanced synchronized oscillations at 3-7 and 7-30 Hz in the basal ganglia,Expand
Stability of small-world networks of neural populations
TLDR
Small-world brain networks are less likely to be stable than random networks with the same number of populations and average number of connections. Expand
Stability and structural constraints of random brain networks with excitatory and inhibitory neural populations
  • R. Gray, P. Robinson
  • Mathematics, Computer Science
  • Journal of Computational Neuroscience
  • 1 August 2009
TLDR
The stability of brain networks with randomly connected excitatory and inhibitory neural populations is investigated using a simplified physiological model of brain electrical activity. Expand
Stability and spectra of randomly connected excitatory cortical networks
TLDR
The stability and dispersion spectrum of random excitatory networks of brain components is investigated using a physiologically-based model of brain electrical activity. Expand
Dynamical reconnection and stability constraints on cortical network architecture.
TLDR
Hierarchical networks can simultaneously have high clustering, short path lengths, and low wiring costs, while being robustly stable under large scale reconnection of substructures. Expand
Stability and synchronization of random brain networks with a distribution of connection strengths
TLDR
The impact of stability and synchronization of electrical activity on the structure of random brain networks with a distribution of connection strengths is investigated using a physiological model of brain activity. Expand
Stability of random brain networks with excitatory and inhibitory connections
TLDR
Stability of randomly connected networks of neural populations with randomly distributed excitatory and inhibitory connections is investigated using a simplified physiologically-based model of brain electrical activity. Expand
Stability constraints on large-scale structural brain networks
TLDR
A physiologically-based model of brain electrical activity, we investigated the stability and dispersion solutions of networks of neuronal populations with propagation time delays and dendritic time constants. Expand
Stability constraints on structural and functional neuronal network connectivity
TLDR
We study the stability of random and small-world brain networks with excitatory and inhibitory connections using a variant of Watts-Strogatz model. Expand