Accessibility navigation

Simulating global properties of electroencephalograms with minimal random neural networks

beim Graben, P. and Kurths, J. (2008) Simulating global properties of electroencephalograms with minimal random neural networks. Neurocomputing, 71 (4-6). pp. 999-1007. ISSN 0925-2312

Full text not archived in this repository.

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item DOI: 10.1016/j.neucom.2007.02.007


The human electroencephalogram (EEG) is globally characterized by a 1/f power spectrum superimposed with certain peaks, whereby the "alpha peak" in a frequency range of 8-14 Hz is the most prominent one for relaxed states of wakefulness. We present simulations of a minimal dynamical network model of leaky integrator neurons attached to the nodes of an evolving directed and weighted random graph (an Erdos-Renyi graph). We derive a model of the dendritic field potential (DFP) for the neurons leading to a simulated EEG that describes the global activity of the network. Depending on the network size, we find an oscillatory transition of the simulated EEG when the network reaches a critical connectivity. This transition, indicated by a suitably defined order parameter, is reflected by a sudden change of the network's topology when super-cycles are formed from merging isolated loops. After the oscillatory transition, the power spectra of simulated EEG time series exhibit a 1/f continuum superimposed with certain peaks. (c) 2007 Elsevier B.V. All rights reserved.

Item Type:Article
Divisions:Life Sciences > School of Psychology and Clinical Language Sciences
ID Code:14157
Uncontrolled Keywords:EEG, field potentials, leaky integrator units, random graphs, phase, transitions, order parameter, COMPLEX NETWORKS, ELECTROCORTICAL ACTIVITY, FUNCTIONAL CONNECTIVITY, MATHEMATICAL-MODEL, ALPHA-RHYTHM, MASS MODEL, BRAIN, EEG, POTENTIALS, NEURONS

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation