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Noise-induced transition in excitable neuron models.

S Tanabe1, K Pakdaman

  • 1Department of Systems and Human Science, School of Engineering Science, Osaka University, Toyonaka, Japan.

Biological Cybernetics
|October 11, 2001
PubMed
Summary

Noisy stimulation can induce a critical transition in the Hodgkin-Huxley neuron model. This noise-induced transition alters neuronal dynamics, impacting spike timing precision in neuronal ensembles.

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Area of Science:

  • Computational Neuroscience
  • Theoretical Neuroscience
  • Biophysics

Background:

  • Previous studies focused on noise-induced variability in neuron discharge times.
  • The effect of noise on stationary distributions of neuronal variables remains less explored.

Purpose of the Study:

  • To investigate the influence of noisy stimulation on the Hodgkin-Huxley neuron model's stationary distributions.
  • To characterize the nature of noise-induced transitions in neuronal models.
  • To explore the functional implications of these transitions for neuronal coding.

Main Methods:

  • Analysis of stationary distributions of membrane potential and gating variables in the Hodgkin-Huxley model.
  • Investigation of a reduced one-dimensional active rotator model to understand the underlying dynamics.
  • Assessment of the impact on spike timing precision in neuronal ensemble models.

Main Results:

  • A critical intermediate noise range was identified, causing drastic qualitative changes in distribution shapes.
  • Distributions shifted from unimodal to bimodal for membrane potential and sodium activation variable.
  • The noise-induced transition in the active rotator model was linked to a deterministic bifurcation.

Conclusions:

  • The Hodgkin-Huxley model exhibits a noise-induced transition, not a gradual change, with increasing noise intensity.
  • This transition is associated with deterministic bifurcations in simplified models.
  • The identified noise-induced transition has potential functional significance in neuronal coding and spike timing precision.

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