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Supplement I: Mathematical Framework

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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

We developed a dynamical systems approach to spatio-temporal neurodynamics. The corresponding mathematical objects are called Freeman K sets, which are mesoscopic models representing an intermediate-level between microscopic neurons and macroscopic brain structures. K sets are multi-scale models, describing increasing complexity of structure and dynamical behaviors.

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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

Authors
  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). Supplement I: Mathematical Framework. 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_8

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  • DOI: https://doi.org/10.1007/978-3-319-24406-8_8

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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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