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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 197–210 (Mi znsl453)  

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

A system of linked resonators in cochlea

S. M. Novoselova

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (247 kB) Citations (1)
Abstract: The cochlear partition is modelled with two parallel long elastic plates connected with a raw of springs. This system of linked resonators is studied by means of multi-degree-of-freedom systems theory. The normal frequencies of the cross section are calculated. It is found that if the partial eigenfrequency of isolated outer hair cell (spring) coincides with any of partial eigenfrequencies of any of two membranes – this frequency is also a normal frequency of the linked system, and the resonance at this frequency is especially sharp. It is concluded, that the slow changes of outer hair cell volume and intracellural pressure can be an effective tool for adjusting of the tuned system, while the fast oscillations remain to be simply forced mechanical vibration. The shifts in the resonance frequency, in magnitude and width of the tuning curve are found to be the results of slow motility of the outer hair cells.
Received: 10.09.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3407–3414
DOI: https://doi.org/10.1007/BF02172818
Bibliographic databases:
UDC: 534.7+612.8
Language: Russian
Citation: S. M. Novoselova, “A system of linked resonators in cochlea”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 197–210; J. Math. Sci. (New York), 96:4 (1999), 3407–3414
Citation in format AMSBIB
\Bibitem{Nov97}
\by S.~M.~Novoselova
\paper A system of linked resonators in cochlea
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 197--210
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl453}
\zmath{https://zbmath.org/?q=an:0932.92005}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3407--3414
\crossref{https://doi.org/10.1007/BF02172818}
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  • https://www.mathnet.ru/eng/znsl/v239/p197
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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