title: Stochastic sensitivity analysis of the noise-induced excitability in a model of a hair bundle.
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.
authors.affiliation: Department of Mathematics, Ural Federal University, Pr. Lenina 51, Ekaterinburg, Russia. irina.bashkirtseva@usu.ru
authors.forename: Irina
authors.initials: I
authors.lastname: Bashkirtseva
authors.forename: Alexander B
authors.initials: AB
authors.lastname: Neiman
authors.forename: Lev
authors.initials: L
authors.lastname: Ryashko
mesh_terms: D000161:Acoustic Stimulation / Q000379:methods; D000818:Animals; D001309:Auditory Threshold / Q000502:physiology*; D001683:Biological Clocks / Q000502:physiology*; D002478:Cells, Cultured; D003198:Computer Simulation; D019706:Excitatory Postsynaptic Potentials / Q000502:physiology*; D006198:Hair Cells, Auditory / Q000502:physiology*; D006309:Hearing / Q000502:physiology*; D040542:Mechanotransduction, Cellular / Q000502:physiology*; D008959:Models, Neurological; D015233:Models, Statistical; D009622:Noise; D011892:Rana catesbeiana; D013269:Stochastic Processes