A Brownian energy depot model of the basilar membrane oscillation with a braking mechanism |
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Authors: | Y Zhang C K Kim K J B Lee and Y Park |
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Institution: | (1) Institute of Physics and Applied Physics, Yonsei University, 120-749 Seoul, Korea;(2) Department of Physics, Ewha Womans University, 120-750 Seoul, Korea;(3) Department of Physics, Myongji University, 449-728 Yongin, Korea;(4) School of Physics, Korea Institute for Advanced Study, 130-722 Seoul, Korea |
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Abstract: | High auditory sensitivity, sharp frequency selectivity, and spontaneous otoacoustic emissions are signatures of active amplification
of the cochlea. The human ear can also detect very large amplitude sounds without being damaged, as long as the exposed time
is not too long. The outer hair cells are believed to be the best candidate for the active force generator of the mammalian
cochlea. In this paper, we propose a new model for the basilar membrane oscillation which describes both an active and a protective
mechanism by employing an energy depot concept and a critical velocity of the basilar membrane. The compressive response of
the basilar membrane at the characteristic frequency and the dynamic response to the stimulation are consistent with the experimental
results. Although our model displays a Hopf bifurcation, our braking mechanism results in a hyper-compressive response to
intense stimuli which is not generically observed near a Hopf bifurcation. Asymmetry seen in experimental recordings between
the onset and the offset of the basilar membrane response to a sound burst is also observed in this model. |
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Keywords: | PACS" target="_blank">PACS 05 45 -a Nonlinear dynamics and chaos 87 19 ln Oscillations and resonance 87 16 Uv Active transport processes |
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