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The statistics of repeating patterns of cortical activity can be reproduced by a model network of stochastic binary neurons.

Publication ,  Journal Article
Roxin, A; Hakim, V; Brunel, N
Published in: J Neurosci
October 15, 2008

Calcium imaging of the spontaneous activity in cortical slices has revealed repeating spatiotemporal patterns of transitions between so-called down states and up states (Ikegaya et al., 2004). Here we fit a model network of stochastic binary neurons to data from these experiments, and in doing so reproduce the distributions of such patterns. We use two versions of this model: (1) an unconnected network in which neurons are activated as independent Poisson processes; and (2) a network with an interaction matrix, estimated from the data, representing effective interactions between the neurons. The unconnected model (model 1) is sufficient to account for the statistics of repeating patterns in 11 of the 15 datasets studied. Model 2, with interactions between neurons, is required to account for pattern statistics of the remaining four. Three of these four datasets are the ones that contain the largest number of transitions, suggesting that long datasets are in general necessary to render interactions statistically visible. We then study the topology of the matrix of interactions estimated for these four datasets. For three of the four datasets, we find sparse matrices with long-tailed degree distributions and an overrepresentation of certain network motifs. The remaining dataset exhibits a strongly interconnected, spatially localized subgroup of neurons. In all cases, we find that interactions between neurons facilitate the generation of long patterns that do not repeat exactly.

Duke Scholars

Published In

J Neurosci

DOI

EISSN

1529-2401

Publication Date

October 15, 2008

Volume

28

Issue

42

Start / End Page

10734 / 10745

Location

United States

Related Subject Headings

  • Stochastic Processes
  • Neurons
  • Neurology & Neurosurgery
  • Neural Networks, Computer
  • Databases, Factual
  • Cerebral Cortex
  • 3209 Neurosciences
  • 17 Psychology and Cognitive Sciences
  • 11 Medical and Health Sciences
 

Citation

APA
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ICMJE
MLA
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Roxin, A., Hakim, V., & Brunel, N. (2008). The statistics of repeating patterns of cortical activity can be reproduced by a model network of stochastic binary neurons. J Neurosci, 28(42), 10734–10745. https://doi.org/10.1523/JNEUROSCI.1016-08.2008
Roxin, Alex, Vincent Hakim, and Nicolas Brunel. “The statistics of repeating patterns of cortical activity can be reproduced by a model network of stochastic binary neurons.J Neurosci 28, no. 42 (October 15, 2008): 10734–45. https://doi.org/10.1523/JNEUROSCI.1016-08.2008.
Roxin, Alex, et al. “The statistics of repeating patterns of cortical activity can be reproduced by a model network of stochastic binary neurons.J Neurosci, vol. 28, no. 42, Oct. 2008, pp. 10734–45. Pubmed, doi:10.1523/JNEUROSCI.1016-08.2008.

Published In

J Neurosci

DOI

EISSN

1529-2401

Publication Date

October 15, 2008

Volume

28

Issue

42

Start / End Page

10734 / 10745

Location

United States

Related Subject Headings

  • Stochastic Processes
  • Neurons
  • Neurology & Neurosurgery
  • Neural Networks, Computer
  • Databases, Factual
  • Cerebral Cortex
  • 3209 Neurosciences
  • 17 Psychology and Cognitive Sciences
  • 11 Medical and Health Sciences