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Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks.

Publication ,  Journal Article
Roxin, A; Brunel, N; Hansel, D
Published in: Phys Rev Lett
June 17, 2005

We study the effect of delays on the dynamics of large networks of neurons. We show that delays give rise to a wealth of bifurcations and to a rich phase diagram, which includes oscillatory bumps, traveling waves, lurching waves, standing waves arising via a period-doubling bifurcation, aperiodic regimes, and regimes of multistability. We study the existence and the stability of the various dynamical patterns analytically and numerically in a simplified rate model as a function of the interaction parameters. The results derived in that framework allow us to understand the origin of the diversity of dynamical states observed in large networks of spiking neurons.

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Published In

Phys Rev Lett

DOI

ISSN

0031-9007

Publication Date

June 17, 2005

Volume

94

Issue

23

Start / End Page

238103

Location

United States

Related Subject Headings

  • Neurons
  • Nerve Net
  • Models, Neurological
  • General Physics
  • Cerebral Cortex
  • Cell Communication
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
 

Citation

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Roxin, A., Brunel, N., & Hansel, D. (2005). Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks. Phys Rev Lett, 94(23), 238103. https://doi.org/10.1103/PhysRevLett.94.238103
Roxin, Alex, Nicolas Brunel, and David Hansel. “Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks.Phys Rev Lett 94, no. 23 (June 17, 2005): 238103. https://doi.org/10.1103/PhysRevLett.94.238103.
Roxin A, Brunel N, Hansel D. Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks. Phys Rev Lett. 2005 Jun 17;94(23):238103.
Roxin, Alex, et al. “Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks.Phys Rev Lett, vol. 94, no. 23, June 2005, p. 238103. Pubmed, doi:10.1103/PhysRevLett.94.238103.
Roxin A, Brunel N, Hansel D. Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks. Phys Rev Lett. 2005 Jun 17;94(23):238103.

Published In

Phys Rev Lett

DOI

ISSN

0031-9007

Publication Date

June 17, 2005

Volume

94

Issue

23

Start / End Page

238103

Location

United States

Related Subject Headings

  • Neurons
  • Nerve Net
  • Models, Neurological
  • General Physics
  • Cerebral Cortex
  • Cell Communication
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering