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Use of an Hourglass Model in Neuronal Coding

Marie Cottrell·Tatiana Turova
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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, under certain conditions of symmetry we find an algorithm to control limiting patterns by means of the connection parameters.

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Marie Cottrell, Tatiana Turova. 2007-03-01. Use of an Hourglass Model in Neuronal Coding. https://arxiv.org/abs/math/0703010

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