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Interpretation of Experimental Results As Cortical Phase Transitions

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

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

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Abstract

Brain activity can be interpreted in terms of dynamic system theory Freeman, Sci Am, 264(2):78–85, 1991 [1], Hoppensteadt, Izhkevich, BioSystem, 48:85–94, 1998 [2], Korn, Faure, C R Biol, 326:787–840, 2003 [3], in particular using models of transient dynamics Rabinovich, Abarbanel, Neuroscience 87(1):5–14, 1998 [4], Kaneko, Tsuda, Complex systems: chaos and beyond. A constructive approach with applications in life sciences. Springer, Berlin, 2001 [5], Steyn-Ross, Steyn-Ross (eds) Modeling phase transitions in the brain, Springer, Berlin, 2010 [6]. Some models utilize encoding in complex cycles and chaotic attractors Aihara et al. Phys Lett A 144:333–340, 1990 [7], Andreyev et al. Int J Bifurc Chaos 6(4):627–646, 1996 [8], Borisyuk, Borisyuk, Biosystems 40(1–2):3–10, 1997 [9]. A hierarchical approach to neural dynamics is formulated as the Freeman K model Freeman, Mass action in the nervous system. Academic, New York, 1975/2004 [10], Freeman, How brains make up their minds. Columia UP, New York, 2001 [11], which is based on studying olfaction, and later generalized to other sensory systems.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, Memphis, TN, USA

    Robert Kozma

  2. Division of Neurobiology, University of California at Berkele, Berkeley, CA, USA

    Walter J. Freeman

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  1. Robert Kozma
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  2. Walter J. Freeman
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Correspondence to Robert Kozma .

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Kozma, R., Freeman, W.J. (2016). Interpretation of Experimental Results As Cortical Phase Transitions. In: Cognitive Phase Transitions in the Cerebral Cortex - Enhancing the Neuron Doctrine by Modeling Neural Fields. Studies in Systems, Decision and Control, vol 39. Springer, Cham. https://doi.org/10.1007/978-3-319-24406-8_3

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  • DOI: https://doi.org/10.1007/978-3-319-24406-8_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24404-4

  • Online ISBN: 978-3-319-24406-8

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