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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 210, Pages 213–240 (Mi znsl5871)  

A linear transversely inhomogeneous cochlear model with sharp tuning

S. M. Novoselova

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract: A linear mechanism of sharp frequency selectivity in the inner ear is developed. Cochlea is supposed to a be slightly varying wave guide with inhomogeneous cross section. The tectorial membrane is considered as an additional mass, loading the narrow strip of the basilar membrane, underlying the rows of outer hair cells. Concentration of mass near the middle line of the cochlear partition provides sharpening of tuning without essential altering of the phase curve. Dissipation of energy is supposed to take place in the fluid boundary layer near the cochlear partition.The responses of the one and the same model with one and the same set of input parameters are compared with different experimental data, obtained during the last decade, in the beginning and in the end of the cochlea simulteneously.
The paper demonstrates, that system like cochlea is capable to perform linear frequency analysis, without adding any outside energy to the waveform that has to be analysed. Bibliography: 21 titles.
Received: 17.09.1993
English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 2, Pages 302–319
DOI: https://doi.org/10.1007/BF02405825
Bibliographic databases:
Document Type: Article
UDC: 534.7
Language: Russian
Citation: S. M. Novoselova, “A linear transversely inhomogeneous cochlear model with sharp tuning”, Mathematical problems in the theory of wave propagation. Part 23, Zap. Nauchn. Sem. POMI, 210, Nauka, St. Petersburg, 1994, 213–240; J. Math. Sci., 83:2 (1997), 302–319
Citation in format AMSBIB
\Bibitem{Nov94}
\by S.~M.~Novoselova
\paper A linear transversely inhomogeneous cochlear model with sharp tuning
\inbook Mathematical problems in the theory of wave propagation. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 210
\pages 213--240
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5871}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1334756}
\zmath{https://zbmath.org/?q=an:0868.92008|0871.92011}
\transl
\jour J. Math. Sci.
\yr 1997
\vol 83
\issue 2
\pages 302--319
\crossref{https://doi.org/10.1007/BF02405825}
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