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Moscow Mathematical Journal, 2015, Volume 15, Number 4, Pages 741–748
DOI: https://doi.org/10.17323/1609-4514-2015-15-4-741-748
(Mi mmj584)
 

This article is cited in 10 scientific papers (total in 10 papers)

Neural codes and homotopy types: mathematical models of place field recognition

Yuri I. Manin

Max-Planck-Institut für Mathematik, Bonn, Germany
Full-text PDF Citations (10)
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Abstract: This note is a brief survey of some results of the recent collaboration of neurobiologists and mathematicians dedicated to stimulus reconstruction from neuronal spiking activity. This collaboration, in particular, led to the consideration of binary codes used by brain for encoding a stimuli domain such as a rodent's territory through the combinatorics of its covering by local neighborhoods.
The survey is addressed to mathematicians (cf. [DS01]) and focusses on the idea that stimuli spaces are represented by the relevant neural codes as simplicial sets and thus encode say, the homotopy type of space if local neighbourhoods are convex.
Key words and phrases: neural codes, place field recognition.
Received: December 11, 2014; in revised form August 8, 2015
Bibliographic databases:
Document Type: Article
MSC: 94-02
Language: English
Citation: Yuri I. Manin, “Neural codes and homotopy types: mathematical models of place field recognition”, Mosc. Math. J., 15:4 (2015), 741–748
Citation in format AMSBIB
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\by Yuri~I.~Manin
\paper Neural codes and homotopy types: mathematical models of place field recognition
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 4
\pages 741--748
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\crossref{https://doi.org/10.17323/1609-4514-2015-15-4-741-748}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438831}
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  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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