Modeling Phase Transitions in the Brain

Abstract

Phase transitions in single neurons and neural populations: Critical slowing, anesthesia, and sleep cycles.- Generalized state-space models for modeling nonstationary EEG time-series.- Spatiotemporal instabilities in neural fields and the effects of additive noise.- Spontaneous brain dynamics emerges at the edge of instability.- Limited spreading: How hierarchical networks prevent the transition to the epileptic state.- Bifurcations and state changes in the human alpha rhythm: Theory and experiment.- Inducing transitions in mesoscopic brain dynamics.- Phase transitions in physiologically-based multiscale mean-field brain models.- A continuum model for the dynamics of the phase transition from slow-wave sleep to REM sleep.- What can a mean-field model tell us about the dynamics of the cortex?.- Phase transitions, cortical gamma, and the selection and read-out of information stored in synapses.- Cortical patterns and gamma genesis are modulated by reversal potentials and gap-junction diffusion.