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Precision of neural timing: effects of convergence and time-windowing.

Publication ,  Journal Article
Reed, MC; Blum, JJ; Mitchell, CC
Published in: Journal of Computational Neuroscience
July 2002

We study the improvement in timing accuracy in a neural system having n identical input neurons projecting to one target neuron. The n input neurons receive the same stimulus but fire at stochastic times selected from one of four specified probability densities, f, each with standard deviation 1.0 msec. The target cell fires if and when it receives m inputs within a time window of epsilon msec. Let sigma(n,m,epsilon) denote the standard deviation of the time of firing of the target neuron (i.e. the standard deviation of the target neuron's latency relative to the arrival time of the stimulus). Mathematical analysis shows that sigma(n,m,epsilon) is a very complicated function of n, m, and epsilon. Typically, sigma(n,m,epsilon) is a non-monotone function of m and epsilon and the improvement of timing accuracy is highly dependent of the shape of the probability density for the time of firing of the input neurons. For appropriate choices of m, epsilon, and f, the standard deviation sigma(n,m,epsilon) may be as low as 1/n. Thus, depending on these variables, remarkable improvements in timing accuracy of such a stochastic system may occur.

Duke Scholars

Published In

Journal of Computational Neuroscience

DOI

EISSN

1573-6873

ISSN

0929-5313

Publication Date

July 2002

Volume

13

Issue

1

Start / End Page

35 / 47

Related Subject Headings

  • Stochastic Processes
  • Reaction Time
  • Probability
  • Neurons
  • Neurology & Neurosurgery
  • Nervous System Physiological Phenomena
  • Models, Neurological
  • Electrophysiology
  • Animals
  • 17 Psychology and Cognitive Sciences
 

Citation

APA
Chicago
ICMJE
MLA
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Reed, M. C., Blum, J. J., & Mitchell, C. C. (2002). Precision of neural timing: effects of convergence and time-windowing. Journal of Computational Neuroscience, 13(1), 35–47. https://doi.org/10.1023/a:1019692310817
Reed, Michael C., Jacob J. Blum, and Colleen C. Mitchell. “Precision of neural timing: effects of convergence and time-windowing.Journal of Computational Neuroscience 13, no. 1 (July 2002): 35–47. https://doi.org/10.1023/a:1019692310817.
Reed MC, Blum JJ, Mitchell CC. Precision of neural timing: effects of convergence and time-windowing. Journal of Computational Neuroscience. 2002 Jul;13(1):35–47.
Reed, Michael C., et al. “Precision of neural timing: effects of convergence and time-windowing.Journal of Computational Neuroscience, vol. 13, no. 1, July 2002, pp. 35–47. Epmc, doi:10.1023/a:1019692310817.
Reed MC, Blum JJ, Mitchell CC. Precision of neural timing: effects of convergence and time-windowing. Journal of Computational Neuroscience. 2002 Jul;13(1):35–47.
Journal cover image

Published In

Journal of Computational Neuroscience

DOI

EISSN

1573-6873

ISSN

0929-5313

Publication Date

July 2002

Volume

13

Issue

1

Start / End Page

35 / 47

Related Subject Headings

  • Stochastic Processes
  • Reaction Time
  • Probability
  • Neurons
  • Neurology & Neurosurgery
  • Nervous System Physiological Phenomena
  • Models, Neurological
  • Electrophysiology
  • Animals
  • 17 Psychology and Cognitive Sciences