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Stochastic sensitivity analysis of the noise-induced excitability in a model of a hair bundle.

Authors
  • Bashkirtseva, Irina
  • Neiman, Alexander B
  • Ryashko, Lev
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
May 01, 2013
Volume
87
Issue
5
Pages
52711–52711
Identifiers
PMID: 23767570
Source
Medline
License
Unknown

Abstract

We study effect of weak noise on the dynamics of a hair bundle model near the excitability threshold and near a subcritical Hopf bifurcation. We analyze numerically noise-induced structural changes in the probability density and the power spectral density of the model. In particular, we show that weak noise can induce oscillations with two distinct frequencies in both excitable and limit-cycle regimes. We then applied a recently developed technique of stochastic sensitivity functions which allows us to estimate threshold values of noise intensity corresponding to these transitions.

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