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Multiple dynamical resonances in a discrete neuronal model.

Yu Jiang1

  • 1Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 México, Distrito Federal México.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary
This summary is machine-generated.

This study numerically analyzes multiple resonances in an excitable neuron model. We show that noise can induce stochastic and coherence resonance, with double coherence resonance observed in low-amplitude oscillations.

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Area of Science:

  • Computational Neuroscience
  • Nonlinear Dynamics
  • Biophysics

Background:

  • Excitable systems, like neurons, exhibit complex dynamics.
  • Resonance phenomena, including stochastic and coherence resonance, are crucial for signal processing in biological systems.
  • Understanding the influence of noise on neuronal excitability is vital for comprehending brain function.

Purpose of the Study:

  • To numerically investigate the conditions for multiple resonance occurrences in an excitable neuron model.
  • To analyze the impact of additive and parametric noise on resonance phenomena.
  • To explore the regimes of low-amplitude and weak oscillations where resonance may persist.

Main Methods:

  • Numerical analysis of an excitable neuron model.
  • Simulation of system response to periodic stimuli under varying noise intensities (additive and parametric).
  • Identification and characterization of stochastic and coherence resonance phenomena.

Main Results:

  • The excitable system demonstrates both stochastic and coherence resonance in response to periodic stimuli with varying noise.
  • Double coherence resonances are observed in low-amplitude oscillation regimes.
  • Coherence resonance persists in weak oscillatory regimes near the Hopf bifurcation point.

Conclusions:

  • Noise plays a critical role in inducing and modulating resonance phenomena in excitable neuron models.
  • Specific noise conditions and system parameters can lead to diverse resonance behaviors, including double coherence resonance.
  • The findings offer insights into how neurons might process information under noisy conditions, particularly in near-threshold excitation regimes.