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Dynamics of the instantaneous firing rate in response to changes in input statistics.

Publication ,  Conference
Fourcaud-Trocmé, N; Brunel, N
Published in: J Comput Neurosci
June 2005

We review and extend recent results on the instantaneous firing rate dynamics of simplified models of spiking neurons in response to noisy current inputs. It has been shown recently that the response of the instantaneous firing rate to small amplitude oscillations in the mean inputs depends in the large frequency limit f on the spike initiation dynamics. A particular simplified model, the exponential integrate-and-fire (EIF) model, has a response that decays as 1/f in the large frequency limit and describes very well the response of conductance-based models with a Hodgkin-Huxley type fast sodium current. Here, we show that the response of the EIF instantaneous firing rate also decays as 1/f in the case of an oscillation in the variance of the inputs for both white and colored noise. We then compute the initial transient response of the firing rate of the EIF model to a step change in its mean inputs and/or in the variance of its inputs. We show that in both cases the response speed is proportional to the neuron stationary firing rate and inversely proportional to a 'spike slope factor' Delta(T) that controls the sharpness of spike initiation: as 1/Delta(T) for a step change in mean inputs, and as 1/Delta(T) (2) for a step change in the variance in the inputs.

Duke Scholars

Published In

J Comput Neurosci

DOI

ISSN

0929-5313

Publication Date

June 2005

Volume

18

Issue

3

Start / End Page

311 / 321

Location

United States

Related Subject Headings

  • Nonlinear Dynamics
  • Neurons
  • Neurology & Neurosurgery
  • Models, Neurological
  • Humans
  • Computer Simulation
  • Animals
  • Action Potentials
  • 52 Psychology
  • 46 Information and computing sciences
 

Citation

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Fourcaud-Trocmé, N., & Brunel, N. (2005). Dynamics of the instantaneous firing rate in response to changes in input statistics. In J Comput Neurosci (Vol. 18, pp. 311–321). United States. https://doi.org/10.1007/s10827-005-0337-8
Fourcaud-Trocmé, Nicolas, and Nicolas Brunel. “Dynamics of the instantaneous firing rate in response to changes in input statistics.” In J Comput Neurosci, 18:311–21, 2005. https://doi.org/10.1007/s10827-005-0337-8.
Fourcaud-Trocmé N, Brunel N. Dynamics of the instantaneous firing rate in response to changes in input statistics. In: J Comput Neurosci. 2005. p. 311–21.
Fourcaud-Trocmé, Nicolas, and Nicolas Brunel. “Dynamics of the instantaneous firing rate in response to changes in input statistics.J Comput Neurosci, vol. 18, no. 3, 2005, pp. 311–21. Pubmed, doi:10.1007/s10827-005-0337-8.
Fourcaud-Trocmé N, Brunel N. Dynamics of the instantaneous firing rate in response to changes in input statistics. J Comput Neurosci. 2005. p. 311–321.
Journal cover image

Published In

J Comput Neurosci

DOI

ISSN

0929-5313

Publication Date

June 2005

Volume

18

Issue

3

Start / End Page

311 / 321

Location

United States

Related Subject Headings

  • Nonlinear Dynamics
  • Neurons
  • Neurology & Neurosurgery
  • Models, Neurological
  • Humans
  • Computer Simulation
  • Animals
  • Action Potentials
  • 52 Psychology
  • 46 Information and computing sciences