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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

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What can topology tell us about the neural code?
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by Carina Curto PDF
Bull. Amer. Math. Soc. 54 (2017), 63-78 Request permission

Abstract:

Neuroscience is undergoing a period of rapid experimental progress and expansion. New mathematical tools, previously unknown in the neuroscience community, are now being used to tackle fundamental questions and analyze emerging data sets. Consistent with this trend, the last decade has seen an uptick in the use of topological ideas and methods in neuroscience. In this paper I will survey recent applications of topology in neuroscience, and explain why topology is an especially natural tool for understanding neural codes.
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Additional Information
  • Carina Curto
  • Affiliation: Department of Mathematics, The Pennsylvania State University
  • MR Author ID: 663228
  • Email: ccurto@psu.edu
  • Received by editor(s): April 26, 2016
  • Published electronically: September 27, 2016
  • Additional Notes: This is a slightly expanded write-up of my talk for the Current Events Bulletin, held at the 2016 Joint Mathematics Meetings in Seattle, Washington.
  • © Copyright 2016 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 54 (2017), 63-78
  • MSC (2010): Primary 54-XX, 92-XX
  • DOI: https://doi.org/10.1090/bull/1554
  • MathSciNet review: 3584098