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Mode-locking dynamics of hair cells of the inner ear.


ABSTRACT: We explore mode locking of spontaneous oscillations of saccular hair cell bundles to periodic mechanical deflections. A simple dynamic systems framework is presented that captures the main features of the experimentally observed behavior in the form of an Arnold tongue. We propose that the phase-locking transition can proceed via different bifurcations. At low stimulus amplitudes F, the transition to mode locking as a function of the stimulus frequency ? has the character of a saddle-node bifurcation on an invariant circle. At higher stimulus amplitudes, the mode-locking transition has the character of a supercritical Andronov-Hopf bifurcation.

SUBMITTER: Fredrickson-Hemsing L 

PROVIDER: S-EPMC3458708 | biostudies-literature | 2012 Aug

REPOSITORIES: biostudies-literature

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Mode-locking dynamics of hair cells of the inner ear.

Fredrickson-Hemsing Lea L   Ji Seung S   Bruinsma Robijn R   Bozovic Dolores D  

Physical review. E, Statistical, nonlinear, and soft matter physics 20120815 2 Pt 1


We explore mode locking of spontaneous oscillations of saccular hair cell bundles to periodic mechanical deflections. A simple dynamic systems framework is presented that captures the main features of the experimentally observed behavior in the form of an Arnold tongue. We propose that the phase-locking transition can proceed via different bifurcations. At low stimulus amplitudes F, the transition to mode locking as a function of the stimulus frequency ω has the character of a saddle-node bifurc  ...[more]

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