Cognitive Phase Transitions in the Cerebral Cortex - Enhancing the Neuron Doctrine by Modeling Neural Fields

  • Robert Kozma
  • Walter J. Freeman

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 39)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Review of Dynamical Brain Theories and Experiments

    1. Front Matter
      Pages 1-1
    2. Robert Kozma, Walter J. Freeman
      Pages 3-13
    3. Robert Kozma, Walter J. Freeman
      Pages 35-45
    4. Robert Kozma, Walter J. Freeman
      Pages 47-61
    5. Robert Kozma, Walter J. Freeman
      Pages 71-78
    6. Robert Kozma, Walter J. Freeman
      Pages 79-86
  3. Supplementary Materials on Brain Structure and Dynamics

    1. Front Matter
      Pages 87-87
    2. Robert Kozma, Walter J. Freeman
      Pages 89-100
    3. Robert Kozma, Walter J. Freeman
      Pages 101-105
    4. Robert Kozma, Walter J. Freeman
      Pages 107-113
  4. Commentaries on Neuroscience Experiments at Cell and Population Levels

    1. Front Matter
      Pages 115-115
    2. Bernard J. Baars
      Pages 117-125
    3. Steven L. Bressler
      Pages 127-134
    4. Zoltán Somogyvári, Péter Érdi
      Pages 135-146
    5. Frank W. Ohl
      Pages 147-159
  5. Commentaries on Differential Equation in Cortical Models

    1. Front Matter
      Pages 161-161
    2. James J. Wright
      Pages 163-175
    3. Hans Liljenström
      Pages 177-186
    4. Ray Brown, Morris W. Hirsch
      Pages 187-204
  6. Commentaries on New Theories of Cortical Dynamics and Cognition

    1. Front Matter
      Pages 215-215
    2. Paul J. Werbos
      Pages 217-228
    3. Ichiro Tsuda
      Pages 229-232
    4. Timothée Leleu, Kazuyuki Aihara
      Pages 233-237
    5. Giuseppe Vitiello
      Pages 239-249
  7. Back Matter
    Pages 251-262

About this book


This intriguing book was born out of the many discussions the authors had in the past 10 years about the role of scale-free structure and dynamics in producing intelligent behavior in brains.
The microscopic dynamics of neural networks is well described by the prevailing paradigm based in a narrow interpretation of the neuron doctrine. This book broadens the doctrine by incorporating the dynamics of neural fields, as first revealed by modeling with differential equations (K-sets).  The book broadens that approach by application of random graph theory (neuropercolation). The book concludes with diverse commentaries that exemplify the wide range of mathematical/conceptual approaches to neural fields.
This book is intended for researchers, postdocs, and graduate students, who see the limitations of network theory and seek a beachhead from which to embark on mesoscopic and macroscopic neurodynamics.


Cognition Cognitive Systems Complex Systems Neural Percolation Neural Percolation Process

Authors and affiliations

  • Robert Kozma
    • 1
  • Walter J. Freeman
    • 2
  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA
  2. 2.Division of NeurobiologyUniversity of California at BerkeleyBerkeleyUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-24404-4
  • Online ISBN 978-3-319-24406-8
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site