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Use of an Hourglass Model in Neuronal Coding

Author

Listed:
  • Marie Cottrell

    (SAMOS-MATISSE - Université Paris 1)

  • Tatyana S. Turova

    (University of Lund - Department of Mathematical Statistics)

Abstract

We study a system of interacting renewal processes which is a model for neuronal activity. We show that the system possesses an exponentially large number (with respect to the number of neurons in the network) of limiting configurations of the "firing neurons". These we call patterns. Furthermore, certain conditions of symmetry we find an algorithm to control limiting patterns by means of the connection parameters

Suggested Citation

  • Marie Cottrell & Tatyana S. Turova, 1999. "Use of an Hourglass Model in Neuronal Coding," Cahiers de la Maison des Sciences Economiques r99024, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:mse:wpsorb:r99024
    DOI: 10.1239/jap/1014842275
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    References listed on IDEAS

    as
    1. Cottrell, Marie, 1992. "Mathematical analysis of a neural network with inhibitory coupling," Stochastic Processes and their Applications, Elsevier, vol. 40(1), pages 103-126, February.
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    1. Turova, Tatyana S., 1998. "Exponential rate of convergence of an infinite neuron model with local connections," Stochastic Processes and their Applications, Elsevier, vol. 73(2), pages 173-193, March.
    2. Marie Cottrell & Tatyana S Turova, 1999. "Use of an Hourglass Model in Neuronal Coding," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03707112, HAL.
    3. Marie Cottrell & Tatyana S Turova, 1999. "Use of an Hourglass Model in Neuronal Coding," Post-Print halshs-03707112, HAL.

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