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Neural timing in highly convergent systems

Publication ,  Journal Article
Mitchell, C; Reed, M
Published in: SIAM Journal on Applied Mathematics
December 1, 2007

In order to study how the convergence of many variable-response neurons on a single target can sharpen timing information, we investigate the limit as the number of input neurons and the number of incoming spikes required to fire the target both get large with the ratio fixed. We prove that the standard deviation of the firing time of the target cell goes to zero in this limit, and we derive the asymptotic forms of the density and the standard deviation near the limit. We use the theorems to understand the behavior of octopus cells in the mammalian cochlear nucleus. © 2007 Society for Industrial and Applied Mathematics.

Duke Scholars

Published In

SIAM Journal on Applied Mathematics

DOI

ISSN

0036-1399

Publication Date

December 1, 2007

Volume

68

Issue

3

Start / End Page

720 / 737

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

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ICMJE
MLA
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Mitchell, C., & Reed, M. (2007). Neural timing in highly convergent systems. SIAM Journal on Applied Mathematics, 68(3), 720–737. https://doi.org/10.1137/07068775X
Mitchell, C., and M. Reed. “Neural timing in highly convergent systems.” SIAM Journal on Applied Mathematics 68, no. 3 (December 1, 2007): 720–37. https://doi.org/10.1137/07068775X.
Mitchell C, Reed M. Neural timing in highly convergent systems. SIAM Journal on Applied Mathematics. 2007 Dec 1;68(3):720–37.
Mitchell, C., and M. Reed. “Neural timing in highly convergent systems.” SIAM Journal on Applied Mathematics, vol. 68, no. 3, Dec. 2007, pp. 720–37. Scopus, doi:10.1137/07068775X.
Mitchell C, Reed M. Neural timing in highly convergent systems. SIAM Journal on Applied Mathematics. 2007 Dec 1;68(3):720–737.

Published In

SIAM Journal on Applied Mathematics

DOI

ISSN

0036-1399

Publication Date

December 1, 2007

Volume

68

Issue

3

Start / End Page

720 / 737

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics