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  Towards a theory of cell assemblies

Palm, G. (1981). Towards a theory of cell assemblies. Biological Cybernetics, 39(3), 181-194. doi:10.1007/BF00342771.

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 Creators:
Palm, G1, 2, Author              
Affiliations:
1Former Department Structure and Function of Natural Nerve-Net , Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497803              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 Abstract: The term cell assembly, first introduced by D. O. Hebb, is defined in the framework of graph theory. This definition leads to some beautiful problems concerning the number and size of cell assemblies in large graphs. Some approaches to solve these problems are presented. In particular, the graphs K n xK m are constructed that have n·m points, n+m-2 connections per point, and at least 2n+2m-4 assemblies. Several new notions of connectivity in directed graphs are introduced and their relationships are investigated. The insight into these notions and their relationships will be helpful for further construction of graphs with many assemblies and/or high connectivity. The resulting graphs are not only important for the idea of cell assemblies in the context of neurodynamics, they may also find applications in the construction of communication networks and associative memories.

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 Dates: 1981-01
 Publication Status: Published in print
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 Identifiers: DOI: 10.1007/BF00342771
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Title: Biological Cybernetics
  Other : Biol. Cybern.
Source Genre: Journal
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Publ. Info: Berlin : Springer
Pages: - Volume / Issue: 39 (3) Sequence Number: - Start / End Page: 181 - 194 Identifier: ISSN: 0340-1200
CoNE: https://pure.mpg.de/cone/journals/resource/954927549307