Abstract
One of the major problems in cochlear mechanics has been the incapability of cochlea models to provide a simultaneous match to amplitude and phase data of basilar membrane (BM) vibration. Negative results were reported by Allen and Sondhi (1979), Viergever (1980), and Neely (1981), all using a two-dimensional (2D) cochlea model. Steele and Taber (1981) on the other hand found fair agreement between their 3D model calculations and Wilson and Johnstone’s (1975) BM data, which is puzzling since the model parameters were in the range where 2D and 3D responses do not differ significantly.
The apparent contradiction is mainly due to an incorrect interpretation of 2D model results. The ‘BM velocity’ in the customary 2D model is the average of the partition velocity over the channel width rather than the average over the membrane width or the velocity of the BM centreline. The BM/stapes amplitude ratio has, consequently, been underestimated by 10–30 dB in most 2D model calculations. By using the correct definition we have reached good agreement between measurement results (Rhode 1971; Johnstone and Yates 1974) and 2D model results as regards both amplitude and phase.
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References
Allen, J.B. (1977). Two-dimensional cochlear fluid model: New results, J. Acoust Soc. Am. 61, 110–119.
Allen, J.B. and Sondhi, M.M. (1979). Cochlear macromechanics: Time domain solutions, J. Acoust. Soc. Am. 66, 123–132.
Boer, E. de (1983). Auditory Physics. Physical principles in hearing theory II. To appear in Phys. Rep.
Boer, E. de and Viergever, M.A. (1982).Validity of the Liouville-Green (or WKB) method for cochlear mechanics, Hearing Res. 8, 131–155.
Boer, E. de and Viergever, M.A. (1983). Wave propagation and dispersion in the cochlea. Submitted to Hearing Res.
Fernandez, C. (1952). Dimensions of the cochlea (guinea pig), J. Acoust. Soc. Am. 24, 519–523.
Flügge, W. (1975). Viscoelasticity, Springer, Berlin.
Johnstone, B.M. and Yates, G.K. (1974). Basilar membrane tuning curves in the guinea pig, J. Acoust. Soc. Am., 55, 584–587.
Khanna, S.M. and Leonard, D.G.B. (1982). Basilar membrane tuning in the cat cochlea, Science, 215, 305–306.
Neely, S.T. (1981). Finite difference solution of a two-dimensional mathematical model of the cochlea, J. Acoust. Soc. Am. 69, 1386–1393.
Rhode, W.S. (1971). Observations of the vibration of the basilar membrane in squirrel monkeys using the Mössbauer technique, J. Acoust. Soc. Am. 49, 1218–1231.
Rhode, W.S. (1978). Some observations on cochlear mechanics, J. Acoust. Soc. Am. 64, 158–176.
Sellick, P.M., Patuzzi, R., and Johnstone, B.M. (1982). Measurement of basilar membrane motion in the guinea pig using the Mössbauer technique, J. Acoust. Soc. Am. 72, 131–141.
Steele, C.R. and Taber, L.A. (1979a). Comparison of WKB and finite difference calculations for a two-dimensional cochlear model, J. Acoust. Soc. Am. 65, 1001–1006.
Steele, C.R. and Taber, L.A. (1979b). Comparison of WKB calculations and experimental results for three-dimensional cochlear models, J. Acoust. Soc. Am. 65, 1007–1018.
Steele, C.R. and Taber, L.A. (1981). Three-dimensional model calculations for guinea pig cochlea, J. Acoust. Soc. Am. 69, 1107–1111.
Viergever, M.A. (1980). Mechanics of the inner ear — a mathematical approach. Delft University Press.
Viergever, M.A. and Diependaal, R.J. (1983). Liouville-Green solutions of one-, two-and three-dimensional cochlea models. In preparation.
Wilson, J.P. and Johnstone, J.R. (1972). Capacitive probe measures of basilar membrane vibration. In: Hearing theory 1972, IPO Eindhoven, 172–181.
Wilson, J.P. and Johnstone, J.R. (1975). Basilar membrane and middle-ear vibration in guinea pig measured by capacitive probe, J. Acoust. Soc. Am. 57, 705–723.
Zweig, G., Lipes, R., and Pierce, J.R. (1976). The cochlear compromise, J. Acoust. Soc. Am. 59, 975–982.
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© 1983 Delft University Press, The Netherlands
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Viergever, M.A., Diependaal, R.J. (1983). Simultaneous Amplitude and Phase Match of Cochlear Model Calculations and Basilar Membrane Vibration Data. In: de Boer, E., Viergever, M.A. (eds) Mechanics of Hearing. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6911-7_7
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DOI: https://doi.org/10.1007/978-94-009-6911-7_7
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