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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 138–148 (Mi znsl5978)  

This article is cited in 1 scientific paper (total in 1 paper)

The transversal modes of the tectorial membrane free vibrations and the origin of the outer hair cells oscillations

S. M. Novoselova

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (590 kB) Citations (1)
Abstract: The tectorial membrane of the mammalian inner ear is considered as a system of weakly bent beams, and modelled with a flat long anisotropic plate with one supported and the other free long edges. The major crosssectional eigenfunction of such a plate is found to have a node near the free edge. SOJ the marginal strip of the vibrating plate moves in counterphase with the last part of the plate body. In result, the outer hair cells connecting the tectorial membrane marginal strip to the basilar membrane experience the altering compressive and stretching forces. Thus, the oscillations of the outer hair cells are seen as a simply forced “passive” mechanical movement. The resonator properties of the outer hair cells are taken into account. The results allow to explain a great deal of the various experimental data in a simple and natural way, free of the negative dumping necessity. Bibliography: 24 titles.
Received: 23.09.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 3, Pages 2747–2754
DOI: https://doi.org/10.1007/BF02355165
Bibliographic databases:
Document Type: Article
UDC: 534.7
Language: Russian
Citation: S. M. Novoselova, “The transversal modes of the tectorial membrane free vibrations and the origin of the outer hair cells oscillations”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 138–148; J. Math. Sci. (New York), 86:3 (1997), 2747–2754
Citation in format AMSBIB
\Bibitem{Nov94}
\by S.~M.~Novoselova
\paper The transversal modes of the tectorial membrane free vibrations and the origin of the outer hair cells oscillations
\inbook Mathematical problems in the theory of wave propagation. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 218
\pages 138--148
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5978}
\zmath{https://zbmath.org/?q=an:0968.74562}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 3
\pages 2747--2754
\crossref{https://doi.org/10.1007/BF02355165}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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