Abstract
We explore the possibility of storage and retrieval of ultrametrically organized patterns in hippocampus, the part of the brain devoted to the memory processes. The ultrametric structure has been chosen for having a good representation of the categories of memory. The storage and retrieval process is the one typical of the hippocampus and it is based on the dynamic of the CA1 neurons under the input from the neurons of the Enthorinal cortex and the Ca3 system. We explore if this real system of neurons exhibits the property of associative memory introduced since a long time in the artificial neural networks. We study how the performance is dependent on the deviation of the system of patterns from ultrametricity. The evolution of the system is simulated by means of a parallel computer and the statistics of storage and retrieval is investigated.
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Based on talk at the International Workshop on p-Adic Methods for Modelling of Complex Systems, Bielefeld, April 15–19, 2013.
The text was submitted by the authors in English.
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Bianchi, D., Piersanti, M. & Tirozzi, B. Storage and retrieval of ultrametric patterns in a network of CA1 neurons of the hippocampus. P-Adic Num Ultrametr Anal Appl 5, 260–277 (2013). https://doi.org/10.1134/S207004661304002X
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DOI: https://doi.org/10.1134/S207004661304002X