Coarse Graining, Fixed Points, and Scaling in a Large Population of Neurons

Leenoy Meshulam, Jeffrey L. Gauthier, Carlos D. Brody, David W. Tank, and William Bialek
Phys. Rev. Lett. 123, 178103 – Published 23 October 2019

Abstract

We develop a phenomenological coarse-graining procedure for activity in a large network of neurons, and apply this to recordings from a population of 1000+ cells in the hippocampus. Distributions of coarse-grained variables seem to approach a fixed non-Gaussian form, and we see evidence of scaling in both static and dynamic quantities. These results suggest that the collective behavior of the network is described by a nontrivial fixed point.

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  • Revised 1 August 2019
  • Received 11 October 2018

DOI:https://doi.org/10.1103/PhysRevLett.123.178103

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Biological PhysicsStatistical Physics

Authors & Affiliations

Leenoy Meshulam1,2,3, Jeffrey L. Gauthier1, Carlos D. Brody1,4,5, David W. Tank1,2,4, and William Bialek2,3,6

  • 1Princeton Neuroscience Institute, Princeton University, Princeton, New Jersey 08544, USA
  • 2Joseph Henry Laboratories of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 3Lewis-Sigler Institute for Integrative Genomics, Princeton University, Princeton, New Jersey 08544, USA
  • 4Department of Molecular Biology, Princeton University, Princeton, New Jersey 08544, USA
  • 5Howard Hughes Medical Institute, Princeton University, Princeton, New Jersey 08544, USA
  • 6Initiative for the Theoretical Sciences, The Graduate Center, City University of New York, 365 Fifth Ave., New York, New York 10016, USA

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Issue

Vol. 123, Iss. 17 — 25 October 2019

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