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A Dynamic Model of the Macrocolumn

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Lectures in Supercomputational Neurosciences

Part of the book series: Understanding Complex Systems ((UCS))

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Summary

Neurons within a cortical macrocolumn can be represented in continuum state equations that include axonal and dendritic delays, synaptic densities, adaptation and distribution of AMPA, NMDA and GABA postsynaptic receptors, and back-propagation of action potentials in the dendritic tree. Parameter values are independently specified from physiological data. In numerical simulations, synchronous oscillation and gamma activity are reproduced and a mechanism for self-regulation of cortical gamma is demonstrated. Properties of synchronous fields observed in the simulations are then applied in a model of the self-organization of synapses, using a simple Hebbian learning rule with decay. The patterns of connection of maximally stable configuration are compared to real cortical synaptic connections that emerge in neurodevelopment.

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Author information

Authors and Affiliations

  1. Liggins Institute and Department of Psychological Medicine, University of Auckland School of Medicine Auckland, New Zealand

    James J. Wright

  2. Brain Dynamics Center, Westmead Hospital University of Sydney, Sydney, Australia

    James J. Wright

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  1. James J. Wright
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Editor information

Editors and Affiliations

  1. School of Psychology and Clinical Language Sciences, University of Reading, PO Box 217, Whiteknights, Reading RG6 6AH, United Kingdom

    Peter beim Graben (Dr.) (Dr.)

  2. Department of Physics, Hong Kong Baptist University, 224 Waterloo Road, Kowloon Tong, Hong Kong, China

    Changsong Zhou (Prof.Dr.) (Prof.Dr.)

  3. School of Engineering and Physical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom

    Marco Thiel (Dr.) (Dr.)

  4. Universität Potsdam Institut für Physik LS Theoretische Physik, Am Neuen Palais 10, 14469 Potsdam, Germany

    Jürgen Kurths (Prof.Dr.) (Prof.Dr.)

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© 2007 Springer-Verlag Berlin Heidelberg

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Wright, J.J. (2007). A Dynamic Model of the Macrocolumn. In: Graben, P.b., Zhou, C., Thiel, M., Kurths, J. (eds) Lectures in Supercomputational Neurosciences. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73159-7_8

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