Skip to main content

Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance.

Publication ,  Journal Article
Brunel, N; Hakim, V; Richardson, MJE
Published in: Phys Rev E Stat Nonlin Soft Matter Phys
May 2003

Neurons that exhibit a peak at finite frequency in their membrane potential response to oscillatory inputs are widespread in the nervous system. However, the influence of this subthreshold resonance on spiking properties has not yet been thoroughly analyzed. To this end, generalized integrate-and-fire models are introduced that reproduce at the linear level the subthreshold behavior of any given conductance-based model. A detailed analysis is presented of the simplest resonant model of this kind that has two variables: the membrane potential and a supplementary voltage-gated resonant variable. The firing-rate modulation created by a noisy weak oscillatory drive, mimicking an in vivo environment, is computed numerically and analytically when the dynamics of the resonant variable is slow compared to that of the membrane potential. The results show that the firing-rate modulation is shaped by the subthreshold resonance. For weak noise, the firing-rate modulation has a minimum near the preferred subthreshold frequency. For higher noise, such as that prevailing in vivo, the firing-rate modulation peaks near the preferred subthreshold frequency.

Duke Scholars

Published In

Phys Rev E Stat Nonlin Soft Matter Phys

DOI

ISSN

1539-3755

Publication Date

May 2003

Volume

67

Issue

5 Pt 1

Start / End Page

051916

Location

United States

Related Subject Headings

  • Time Factors
  • Neurons
  • Models, Statistical
  • Models, Anatomic
  • Humans
  • Fluids & Plasmas
  • Electrophysiology
  • Biophysics
  • Biophysical Phenomena
  • Animals
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Brunel, N., Hakim, V., & Richardson, M. J. E. (2003). Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance. Phys Rev E Stat Nonlin Soft Matter Phys, 67(5 Pt 1), 051916. https://doi.org/10.1103/PhysRevE.67.051916
Brunel, Nicolas, Vincent Hakim, and Magnus J. E. Richardson. “Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance.Phys Rev E Stat Nonlin Soft Matter Phys 67, no. 5 Pt 1 (May 2003): 051916. https://doi.org/10.1103/PhysRevE.67.051916.
Brunel N, Hakim V, Richardson MJE. Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 May;67(5 Pt 1):051916.
Brunel, Nicolas, et al. “Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance.Phys Rev E Stat Nonlin Soft Matter Phys, vol. 67, no. 5 Pt 1, May 2003, p. 051916. Pubmed, doi:10.1103/PhysRevE.67.051916.
Brunel N, Hakim V, Richardson MJE. Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 May;67(5 Pt 1):051916.

Published In

Phys Rev E Stat Nonlin Soft Matter Phys

DOI

ISSN

1539-3755

Publication Date

May 2003

Volume

67

Issue

5 Pt 1

Start / End Page

051916

Location

United States

Related Subject Headings

  • Time Factors
  • Neurons
  • Models, Statistical
  • Models, Anatomic
  • Humans
  • Fluids & Plasmas
  • Electrophysiology
  • Biophysics
  • Biophysical Phenomena
  • Animals