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Electrorhythmogenesis and anaesthesia in a physiological mean field theory

Authors
Journal
Neurocomputing
0925-2312
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/j.neucom.2004.01.185
Keywords
  • Electroencephalogram
  • Alpha Rhythm
  • Cortical Mean Field Theory
Disciplines
  • Biology
  • Design
  • Philosophy

Abstract

Abstract We solve eight partial-differential, two-dimensional, nonlinear mean field equations, which describe the dynamics of large populations of cortical neurons. Linearized versions of these equations have been used to generate the strong resonances observed in the human EEG, in particular the α-rhythm (8– 13 Hz ), with physiologically plausible parameters. We extend these results here by numerically solving the full equations on a cortex of realistic size, which receives appropriately “colored” noise as extra-cortical input. A brief summary of the numerical methods is provided. As an outlook to future applications, we explain how the effects of GABA-enhancing general anaesthetics can be simulated and present first results.

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