Abstract
We consider a mathematical model of spontaneous mechanical oscillations of hair bundles in bullfrog saccular hair cells. This two-dimensional model describes dynamics of the positions of the bundle tip and molecular motors. The main control parameters of this model are the calcium feedback strength and the maximal force of molecular motors. The dynamics of hair bundles is subject to the random disturbances. We study noise-induced oscillations in the parametric zone where the equilibria are the only attractors of the system. We analyze the probabilistic mechanism of the generation of mixed-mode stochastic oscillations with the help of the stochastic sensitivity functions and confidence domains. The constructive abilities of this mathematical technique in the analysis of the stochastic effects in the hair bundle model are demonstrated.
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