Use of an Hourglass Model in Neuronal Coding

Marie Cottrell () and Tatyana Turova
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Marie Cottrell: SAMOS - Statistique Appliquée et MOdélisation Stochastique - UP1 - Université Paris 1 Panthéon-Sorbonne, MATISSE - UMR 8595 - Modélisation Appliquée, Trajectoires Institutionnelles et Stratégies Socio-Économiques - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique
Tatyana Turova: Department of Mathematics [Lund University] - Skane University Hospital [Lund]

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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.

Keywords: Ergodicity; Hourglass Model; Stochastic Neural Network; Réseaux de neurones biologiques; systèmes interconnectés; inhibition latérale; processus de renouvellement; systèmes ergodiques (search for similar items in EconPapers)
Date: 1999-09
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03707112
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Published in 1999

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