Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity

By Christoph Börgers, Nancy J. Kopell. Neural Computation, 2003

505 citations recorded by the source corpus.

Subfields: Cognitive Neuroscience, Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/75c26f860e31270525c5544d9972b0a17a3ccb5c

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Citations in the corpus

Mechanisms of Gamma Oscillations (2012, background): “In most E-I models, there is no need for I-I connections (Wilson & Cowan 1972, Whittington et al. 2000, Borgers & Kopell 2003, Brunel & Wang 2003, Geisler et al. 2005).”
Neurophysiological and Computational Principles of Cortical Rhythms in Cognition (2010, methodology): “The conclusion about the small minimum number of synapses per neuron required for synchrony in a random network also holds for two population models of excitatory and inhibitory neurons (96, 1040).”
Role of local network oscillations in resting-state functional connectivity (2011, background): “In a number of experimental and theoretical studies (Bartos et al., 2007; Brunel, 2000; Brunel andWang, 2003; Borgers and Kopell, 2003), local neural networks have been shown to exhibit gamma oscillations, and the mechanisms leading to such oscillations are now widely accepted.”
Gamma and Theta Rhythms in Biophysical Models of Hippocampal Circuits (2010, methodology): “It has been shown (Golomb and Hansel, 2000; Börgers and Kopell, 2003) that the formation of a coherent gamma rhythm depends on the number of connections to a given E- or I-cell from the opposite population, independent of the size of the network; thus, the connections can be arbitrarily sparse.”
Exploring mechanisms of spontaneous functional connectivity in MEG: How delayed network interactions lead to structured amplitude envelopes of band-pass filtered oscillations (2014, unknown): “…of experimental and theoretical studies showing that neural activity at the population level usually exhibits oscillations with a moderate level of synchrony, in particular in the gamma frequency range (30–80 Hz) (Bartos et al., 2007; Borgers and Kopell, 2003; Brunel, 2000; Brunel and Wang, 2003).”
Thalamocortical oscillations (2006, background): “…second intracortical mechanism of gamma activity generation depends on the activity of inhibitory interneurons and was described both in vitro and computational models (Borgers and Kopell 2003; Lytton and Sejnowski 1991; Traub et al. 1996a; Traub et al. 1997; Traub et al. 1998; Traub et al. 1999).”
On the human sensorimotor-cortex beta rhythm: Sources and modeling (2005, background): “This is true because the e-cells fire when the inhibition has decayed sufficiently, depending on the drive to those cells (Borgers and Kopell, 2003; Ermentrout and Kopell, 1998).”