Firing Rate of the Noisy Quadratic Integrate-and-Fire Neuron

@article{Brunel2003FiringRO,
  title={Firing Rate of the Noisy Quadratic Integrate-and-Fire Neuron},
  author={N. Brunel and P. Latham},
  journal={Neural Computation},
  year={2003},
  volume={15},
  pages={2281-2306}
}
We calculate the firing rate of the quadratic integrate-and-fire neuron in response to a colored noise input current. Such an input current is a good approximation to the noise due to the random bombardment of spikes, with the correlation time of the noise corresponding to the decay time of the synapses. The key parameter that determines the firing rate is the ratio of the correlation time of the colored noise, s, to the neuronal time constant, m. We calculate the firing rate exactly in two… Expand
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  • 21
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  • 725
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  • 25
  • PDF
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  • Highly Influenced
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2
3
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5
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References

SHOWING 1-10 OF 58 REFERENCES
Dynamics of the Firing Probability of Noisy Integrate-and-Fire Neurons
  • 324
  • PDF
Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics.
  • 149
Response of spiking neurons to correlated inputs.
  • 96
  • PDF
Analytic Expressions for Rate and CV of a Type I Neuron Driven by White Gaussian Noise
  • 93
  • Highly Influential
  • PDF
Minimal Models of Adapted Neuronal Response to In VivoLike Input Currents
  • 134
  • PDF
Quantitative Study of Attractor Neural Network Retrieving at Low Spike Rates: I
  • 277
Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates
  • 845
  • PDF
Action Potential Onset Dynamics and the Response Speed of Neuronal Populations
  • 104
  • PDF
The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs
  • WR Softky, C. Koch
  • Physics, Medicine
  • The Journal of neuroscience : the official journal of the Society for Neuroscience
  • 1993
  • 1,637
  • PDF
...
1
2
3
4
5
...