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Reducing the sequential dynamics of excitatory neural networks to cellular automata

  • Biophysics
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Abstract

An approach is developed for the description and analysis of sequential dynamics of excitatory neural networks. It is based on the reduction of dynamics of networks to the dynamics of cellular automata on the graph of connections. We apply our approach to network of Hodgkin-Huxley neurons coupled by chemical synapses.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Nizhni Novgorod, 603950, Russia

    V. I. Nekorkin, A. S. Dmitrichev & D. V. Kasatkin

  2. Instituto de Investigacion en Comunicacion Optica, Universidad Autonoma de San Luis Potosi, Lomas 4a 78220, San Luis Potosi, S.L.P., Mexico

    V. S. Afraimovich

  3. Laboratory of Algorithms and Technologies for Network Analysis, The National Research University Higher School of Economics, Nizhni Novgorod, 603093, Russia

    V. I. Nekorkin & A. S. Dmitrichev

Authors
  1. V. I. Nekorkin
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  2. A. S. Dmitrichev
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  3. D. V. Kasatkin
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  4. V. S. Afraimovich
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Corresponding author

Correspondence to V. I. Nekorkin.

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Nekorkin, V.I., Dmitrichev, A.S., Kasatkin, D.V. et al. Reducing the sequential dynamics of excitatory neural networks to cellular automata. Jetp Lett. 95, 492–496 (2012). https://doi.org/10.1134/S0021364012090093

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  • DOI: https://doi.org/10.1134/S0021364012090093

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