Skip to main content

Bistability and up/down state alternations in inhibition-dominated randomly connected networks of LIF neurons.

Publication ,  Journal Article
Tartaglia, EM; Brunel, N
Published in: Sci Rep
September 20, 2017

Electrophysiological recordings in cortex in vivo have revealed a rich variety of dynamical regimes ranging from irregular asynchronous states to a diversity of synchronized states, depending on species, anesthesia, and external stimulation. The average population firing rate in these states is typically low. We study analytically and numerically a network of sparsely connected excitatory and inhibitory integrate-and-fire neurons in the inhibition-dominated, low firing rate regime. For sufficiently high values of the external input, the network exhibits an asynchronous low firing frequency state (L). Depending on synaptic time constants, we show that two scenarios may occur when external inputs are decreased: (1) the L state can destabilize through a Hopf bifucation as the external input is decreased, leading to synchronized oscillations spanning d δ to β frequencies; (2) the network can reach a bistable region, between the low firing frequency network state (L) and a quiescent one (Q). Adding an adaptation current to excitatory neurons leads to spontaneous alternations between L and Q states, similar to experimental observations on UP and DOWN states alternations.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Sci Rep

DOI

EISSN

2045-2322

Publication Date

September 20, 2017

Volume

7

Issue

1

Start / End Page

11916

Location

England

Related Subject Headings

  • Nerve Net
  • Models, Neurological
  • Electroencephalography
  • Cerebral Cortex
  • Animals
  • Action Potentials
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Tartaglia, E. M., & Brunel, N. (2017). Bistability and up/down state alternations in inhibition-dominated randomly connected networks of LIF neurons. Sci Rep, 7(1), 11916. https://doi.org/10.1038/s41598-017-12033-y
Tartaglia, Elisa M., and Nicolas Brunel. “Bistability and up/down state alternations in inhibition-dominated randomly connected networks of LIF neurons.Sci Rep 7, no. 1 (September 20, 2017): 11916. https://doi.org/10.1038/s41598-017-12033-y.
Tartaglia, Elisa M., and Nicolas Brunel. “Bistability and up/down state alternations in inhibition-dominated randomly connected networks of LIF neurons.Sci Rep, vol. 7, no. 1, Sept. 2017, p. 11916. Pubmed, doi:10.1038/s41598-017-12033-y.

Published In

Sci Rep

DOI

EISSN

2045-2322

Publication Date

September 20, 2017

Volume

7

Issue

1

Start / End Page

11916

Location

England

Related Subject Headings

  • Nerve Net
  • Models, Neurological
  • Electroencephalography
  • Cerebral Cortex
  • Animals
  • Action Potentials