Springer Series in Computational Neuroscience

Modeling Phase Transitions in the Brain

Editors: Steyn-Ross, Alistair, Steyn-Ross, Moira (Eds.)

  • Presents recent developments in EEG data analysis
  • Places cortical modelling in historical context
  • Provides an overview of the range of modern mass-action continuum approaches used to model cortical function
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eBook $249.00
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  • ISBN 978-1-4419-0796-7
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Hardcover $319.00
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Softcover $319.00
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  • ISBN 978-1-4614-2550-2
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About this book

Foreword by Walter J. Freeman.

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. 

Written for:

Researchers, clinicians, physicians, neurologists

About the editors:

Alistair Steyn-Ross and Moira Steyn-Ross are computational and theoretical physicists in the Department of Engineering, University of Waikato, New Zealand.  They share a long-standing interest in the application of physics-based methods to gain insight into the emergent behavior of complex biological systems such as single neurons and interacting neural populations.

Reviews

From the book reviews:

“Excellent description of neurophysiology of dynamics systems, both linear and nonlinear. Highly recommended.” (Joseph J. Grenier, Amazon.com, October, 2014)

Table of contents (12 chapters)

  • Phase transitions in single neurons and neural populations: Critical slowing, anesthesia, and sleep cycles

    Steyn-Ross, D.A. (et al.)

    Pages 1-26

  • Generalized state-space models for modeling nonstationary EEG time-series

    Galka, A. (et al.)

    Pages 27-52

  • Spatiotemporal instabilities in neural fields and the effects of additive noise

    Hutt, Axel

    Pages 53-80

  • Spontaneous brain dynamics emerges at the edge of instability

    Jirsa, V.K. (et al.)

    Pages 81-98

  • Limited spreading: How hierarchical networks prevent the transition to the epileptic state

    Kaiser, M. (et al.)

    Pages 99-116

Buy this book

eBook $249.00
price for USA (gross)
  • ISBN 978-1-4419-0796-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $319.00
price for USA
  • ISBN 978-1-4419-0795-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $319.00
price for USA
  • ISBN 978-1-4614-2550-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Modeling Phase Transitions in the Brain
Editors
  • Alistair Steyn-Ross
  • Moira Steyn-Ross
Series Title
Springer Series in Computational Neuroscience
Series Volume
4
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4419-0796-7
DOI
10.1007/978-1-4419-0796-7
Hardcover ISBN
978-1-4419-0795-0
Softcover ISBN
978-1-4614-2550-2
Series ISSN
2197-1900
Edition Number
1
Number of Pages
XXX, 306
Number of Illustrations and Tables
79 b/w illustrations, 24 illustrations in colour
Topics