Stability and spectra of randomly connected excitatory cortical networks

Authors:
R. T. Gray;P. A. Robinson
Affiliations:
School of Physics, The University of Sydney, NSW 2006, Sydney, Australia and Brain Dynamics Center, Westmead Millennium Institute, Westmead Hospital and Western Clinical School of the University o ...;School of Physics, The University of Sydney, NSW 2006, Sydney, Australia and Brain Dynamics Center, Westmead Millennium Institute, Westmead Hospital and Western Clinical School of the University o ...
Venue:
Neurocomputing
Year:
2007

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Abstract

The stability and dispersion spectrum of random excitatory networks of brain components is investigated using a physiological model of brain electrical activity. Stability is shown to sharply constrain the structural parameters of these networks, with a critical point that limits the product of network size, connection probability, and connection strength. This constraint is verified numerically and also has a weak effect on network symmetry. Experimentally determined cortical networks, having a structure intermediate between regular and random networks, are shown to be less stable than a random network with a similar number of components and connections.