Multistable and heirarchical cortical dynamics

Michael Breakspear

Queensland Institute of Medical Research, Herston, Australia

Recordings of cortical activity across the entire hierarchy of spatial scales in the brain evidence the hallmarks of complex dynamics. At the largest scale, the human alpha rhythm (~10 Hz) is a multistable phenomenon with erratic, but well well defined switching behaviour between different temporal modes of activity. Beta oscillations (15-30 Hz) exhibit erratic fluctuations that appear drawn from an underlying "super-Gaussian" process. In this talk, these phenomena will be defined and evidence for their existence reviewed. I will then present a model of spiking neural populations defined on a heirarchically-organised architecture. This enables us to understand the role of spike-time dependent plasticity in the generation of these non-trivial large-scale fluctuations in neuronal activity and the conditions under which such activity can become super-critical, hence exhibiting seizure-like spiking behaviour. From this preliminary work, we can form a deeper intuition regarding what may be required for a sufficient model of large-scale cortical dynamics. This involves understanding the coupling between cortical dynamics on two time scales - namely, the rapidly changing moments of cortical states coupled to the more gradually changing moments of synaptic weights.

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