title: 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 ω 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.
authors.affiliation: Department of Physics and Astronomy, California NanoSystems Institute, University of California Los Angeles, Los Angeles, California 90024, USA.
authors.forename: Lea
authors.initials: L
authors.lastname: Fredrickson-Hemsing
authors.forename: Seung
authors.initials: S
authors.lastname: Ji
authors.forename: Robijn
authors.initials: R
authors.lastname: Bruinsma
authors.forename: Dolores
authors.initials: D
authors.lastname: Bozovic
mesh_terms: D001696:Biomechanical Phenomena; D006199:Hair Cells, Auditory, Inner / Q000166:cytology*; D055595:Mechanical Phenomena; D008954:Models, Biological; D010507:Periodicity