Modeling Phase Transitions in the Brain Pdf written by D.A. Steyn-Ross, M.L. Steyn-Ross, M.T. Wilson (auth.), D. Alistair Steyn-Ross, Moira Steyn-Ross The induction of unconsciousness using anesthetic drugs demonstrates that the cerebral cortex can operate in two very different modes alert and responsive versus unaware and quiescent. But the states of wakefulness and sleep are not single neuron properties they emerge as bulk properties of cooperating populations of neurons, with the switchover between states being similar to the physical change of phase observed when water freezes or ice melts.
Some brain state transitions, such as sleep cycling, anesthetic induction, epileptic seizure, are obvious and detected readily with a few EEG electrodes; others, such as the emergence of gamma rhythms during cognition, or the ultra slow BOLD rhythms of relaxed free association, are much more subtle. The unifying theme of this book is the notion that all of these bulk changes in brain behavior can be treated as phase transitions between distinct brain states.Modeling Phase Transitions in the Brain contains chapter contributions from leading researchers who apply state-space methods, network models, and biophysically motivated continuum approaches to investigate a range of neuroscientifically relevant problems that include analysis of nonstationary EEG time series network topologies that limit epileptic spreading saddle node bifurcations for anesthesia, sleep-cycling, and the wake sleep switch prediction of dynamical and noise-induced spatiotemporal instabilities underlying BOLD, alpha , and gamma band EEG oscillations, gap junction moderated Turing structures, and Hopf Turing interactions leading to cortical waves.
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