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Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges.

Publication ,  Journal Article
Geisler, C; Brunel, N; Wang, X-J
Published in: J Neurophysiol
December 2005

During fast oscillations in the local field potential (40-100 Hz gamma, 100-200 Hz sharp-wave ripples) single cortical neurons typically fire irregularly at rates that are much lower than the oscillation frequency. Recent computational studies have provided a mathematical description of such fast oscillations, using the leaky integrate-and-fire (LIF) neuron model. Here, we extend this theoretical framework to populations of more realistic Hodgkin-Huxley-type conductance-based neurons. In a noisy network of GABAergic neurons that are connected randomly and sparsely by chemical synapses, coherent oscillations emerge with a frequency that depends sensitively on the single cell's membrane dynamics. The population frequency can be predicted analytically from the synaptic time constants and the preferred phase of discharge during the oscillatory cycle of a single cell subjected to noisy sinusoidal input. The latter depends significantly on the single cell's membrane properties and can be understood in the context of the simplified exponential integrate-and-fire (EIF) neuron. We find that 200-Hz oscillations can be generated, provided the effective input conductance of single cells is large, so that the single neuron's phase shift is sufficiently small. In a two-population network of excitatory pyramidal cells and inhibitory neurons, recurrent excitation can either decrease or increase the population rhythmic frequency, depending on whether in a neuron the excitatory synaptic current follows or precedes the inhibitory synaptic current in an oscillatory cycle. Detailed single-cell properties have a substantial impact on population oscillations, even though rhythmicity does not originate from pacemaker neurons and is an emergent network phenomenon.

Duke Scholars

Published In

J Neurophysiol

DOI

ISSN

0022-3077

Publication Date

December 2005

Volume

94

Issue

6

Start / End Page

4344 / 4361

Location

United States

Related Subject Headings

  • gamma-Aminobutyric Acid
  • alpha-Amino-3-hydroxy-5-methyl-4-isoxazolepropionic Acid
  • Spectrum Analysis
  • Periodicity
  • Nonlinear Dynamics
  • Neurons
  • Neurology & Neurosurgery
  • Neural Networks, Computer
  • Neural Inhibition
  • Nerve Net
 

Citation

APA
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MLA
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Geisler, C., Brunel, N., & Wang, X.-J. (2005). Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges. J Neurophysiol, 94(6), 4344–4361. https://doi.org/10.1152/jn.00510.2004
Geisler, Caroline, Nicolas Brunel, and Xiao-Jing Wang. “Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges.J Neurophysiol 94, no. 6 (December 2005): 4344–61. https://doi.org/10.1152/jn.00510.2004.
Geisler C, Brunel N, Wang X-J. Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges. J Neurophysiol. 2005 Dec;94(6):4344–61.
Geisler, Caroline, et al. “Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges.J Neurophysiol, vol. 94, no. 6, Dec. 2005, pp. 4344–61. Pubmed, doi:10.1152/jn.00510.2004.
Geisler C, Brunel N, Wang X-J. Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges. J Neurophysiol. 2005 Dec;94(6):4344–4361.

Published In

J Neurophysiol

DOI

ISSN

0022-3077

Publication Date

December 2005

Volume

94

Issue

6

Start / End Page

4344 / 4361

Location

United States

Related Subject Headings

  • gamma-Aminobutyric Acid
  • alpha-Amino-3-hydroxy-5-methyl-4-isoxazolepropionic Acid
  • Spectrum Analysis
  • Periodicity
  • Nonlinear Dynamics
  • Neurons
  • Neurology & Neurosurgery
  • Neural Networks, Computer
  • Neural Inhibition
  • Nerve Net