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.
Duke Scholars
Altmetric Attention Stats
Dimensions Citation Stats
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
APA
Chicago
ICMJE
MLA
NLM
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