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Condensed Matter Physics Seminar

Spase Petkoski, Department of Physics, Lancaster University

Friday 31 January 2014, 1500-1600
C1 Physics Building

KURAMOTO MODEL: APPLICATION TO MODELLING BRAIN DYNAMICS

Populations of interacting phase oscillators are widely used for the description of a diversity of natural phenomena ranging from Josephson junction arrays, to brain dynamics and rhythmic hand clapping.

Two major still-unresolved issues related to these populations are examined - their response to external deterministic forcing, and the values of their mean frequencies. For the former, the Kuramoto model is modified to include time-varying parameters, thus, it captures the non-constant dynamics of thermodynamically open systems. For the latter, two notions of the mean frequency are introduced and are shown to have non-trivial values in general.

The new results allow more realistic applications of the Kuramoto model in explaining brain dynamics and questions related to consciousness. Findings illustrating the time-varying dynamics of the brain, analysed during the awake state and in anaesthesia, will be presented and the potential of our new approach to quantify the depth of anaesthesia will be discussed.