Electrorhythmogenesis and anaesthesia in a physiological mean field theory

We solve eight partial-differential, two-dimensional, nonlinear mean ¯eld equations, which describe the dynamics of large populations of cortical neurons. Linearized versions of these equations have been used to generate the strong resonances ob- served in the human EEG, in particular the a-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 simulate the effects of GABA-enhancing general anaesthetics