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Quasi-linear modelling of the coupled cochlea using the WKB method

Quasi-linear modelling of the coupled cochlea using the WKB method
Quasi-linear modelling of the coupled cochlea using the WKB method

The WKB method provides a convenient way of predicting the coupled response of the linear cochlea, given the distribution of the complex wavenumber along it. With one-dimensional (1D) fluid coupling, the local wavenumber can be calculated from the micromechanical admittance, which can be either passive or active. In practice, the degree of activity at some point along the cochlea will depend on the level of response at this point, due to the nonlinearity of the cochlear amplifier. Quasi-linear models have previously been used, by Kanis and de Boer for example, to estimate the response of a nonlinear cochlear model to single tones or combinations of tones, by iteratively solving for the coupled response and re-evaluating the effective gain of the cochlear amplifier along the length of the cochlea, using the Finite Difference (FD) method. In this paper we consider calculating the coupled response in such a quasi-linear model to single tones using the WKB method, instead of FD, thus gaining an analytical insightful solution. An even simpler quasi-linear model is also explored, in which only a single gain is assumed for the cochlear amplifier along the whole length of the cochlea. It is found that for single tones the coupled response predicted by this simplified quasi-linear model is very similar to that predicted by the quasi-linear model with a distribution of cochlear amplifier gains along the cochlea. The reasons for this similarity are explored and its implications discussed.

American Institute of Physics
Karlos, Angelis
ed53f118-9719-4f58-a1eb-bd4d67df3a27
Vignali, Dario
9603c180-b663-45b8-883c-520820241e64
Lineton, Ben
1ace4e96-34da-4fc4-bc17-a1d82b2ba0e2
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567
Karlos, Angelis
ed53f118-9719-4f58-a1eb-bd4d67df3a27
Vignali, Dario
9603c180-b663-45b8-883c-520820241e64
Lineton, Ben
1ace4e96-34da-4fc4-bc17-a1d82b2ba0e2
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567

Karlos, Angelis, Vignali, Dario, Lineton, Ben and Elliott, Stephen (2018) Quasi-linear modelling of the coupled cochlea using the WKB method. In To the Ear and Back Again - Advances in Auditory Biophysics: Proceedings of the 13th Mechanics of Hearing Workshop. vol. 1965, American Institute of Physics. 0 pp . (doi:10.1063/1.5038457).

Record type: Conference or Workshop Item (Paper)

Abstract

The WKB method provides a convenient way of predicting the coupled response of the linear cochlea, given the distribution of the complex wavenumber along it. With one-dimensional (1D) fluid coupling, the local wavenumber can be calculated from the micromechanical admittance, which can be either passive or active. In practice, the degree of activity at some point along the cochlea will depend on the level of response at this point, due to the nonlinearity of the cochlear amplifier. Quasi-linear models have previously been used, by Kanis and de Boer for example, to estimate the response of a nonlinear cochlear model to single tones or combinations of tones, by iteratively solving for the coupled response and re-evaluating the effective gain of the cochlear amplifier along the length of the cochlea, using the Finite Difference (FD) method. In this paper we consider calculating the coupled response in such a quasi-linear model to single tones using the WKB method, instead of FD, thus gaining an analytical insightful solution. An even simpler quasi-linear model is also explored, in which only a single gain is assumed for the cochlear amplifier along the whole length of the cochlea. It is found that for single tones the coupled response predicted by this simplified quasi-linear model is very similar to that predicted by the quasi-linear model with a distribution of cochlear amplifier gains along the cochlea. The reasons for this similarity are explored and its implications discussed.

Full text not available from this repository.

More information

Accepted/In Press date: 17 January 2017
Published date: 31 May 2018
Venue - Dates: 13th Mechanics of Hearing Workshop: To the Ear and Back Again - Advances in Auditory Biophysics, St. Catharines, Canada, 2017-06-19 - 2017-06-24

Identifiers

Local EPrints ID: 421679
URI: http://eprints.soton.ac.uk/id/eprint/421679
PURE UUID: 53e35103-370c-4aac-9fd3-c94eef2ff753
ORCID for Dario Vignali: ORCID iD orcid.org/0000-0003-2612-6122

Catalogue record

Date deposited: 21 Jun 2018 16:30
Last modified: 19 Jul 2019 17:10

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