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Parameter Sensitivity in a Mathematical Model of Basilar Membrane Mechanics

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Peripheral Auditory Mechanisms

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 64))

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Abstract

A mathematical model of cochlear processing is developed to describe the transformation from acoustic stimulus to intracellular hair cell potential. It incorporates a linear formulation of three-dimensional basilar membrane mechanics, subtectorial fluid-cilia displacement coupling, and a simplified description of the inner hair cell nonlinear transduction process. When the model parameters of the basilar membrane stage are set to values characteristic of the guinea pig, good agreement with experiment is obtained for single tone responses. When the parameters are varied, the basilar membrane tuning can change dramatically.

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References

  • Allen, J. B., “Magnitude and Phase-Frequency Response to Single Tones in the Auditory Nerve”. J. Acoust. Soc. Am. 73, pp. 2071–2092, 1983.

    Article  Google Scholar 

  • von Bekesy, G., Experiments in Hearing. McGraw-Hill, New York, 1960.

    Google Scholar 

  • Chadwick, R. S., “Three Dimensional Effects on Low Frequency Cochlear Mechanics”. Mech. Res. Communications (in press).

    Google Scholar 

  • Fernandez, C., “Dimensions of the Cochlea (Guinea Pig)”. J. Acoust. Soc. Am. 24, pp. 519–523, 1952.

    Article  Google Scholar 

  • Holmes, M. H. and Cole, J. D., “Cochlear Mechanics: Analysis for a Pure Tone”. J. Acoust. Soc. Am. 76, pp. 767–778, 1984.

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  • Holmes, M. H., “Frequency Discrimination in the Mammalian Cochlea”. R. P. I. Math. Report No. 150, 1985.

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  • Holmes, M. H., “A Spectral Problem in Hydroelasticity”. J. Diff. Equations 32, pp. 388–397, 1979.

    Article  MATH  Google Scholar 

  • Shamma, S. A., Chadwick, R. S., Wilbur, W. J., Rinzel, J. and Morrish, K. A., “A Biophysical Model of Cochlear Processing: Intensity Dependence of Pure Tone Responses”. J. Acoust. Soc. Am. (submitted for publication).

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  • Wilson, J. P. and Evans, E. F., “Some Observations on the “Passive” Mechanics of Cat Basilar Membrane”. In Mechanisms of Hearing, Eds. W. Webster and L. Aitkin. Monash University Press: Australia, 1983.

    Google Scholar 

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© 1986 Springer-Verlag Berlin Heidelberg

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Morrish, K.A., Chadwick, R.S., Shamma, S.A., Rinzel, J. (1986). Parameter Sensitivity in a Mathematical Model of Basilar Membrane Mechanics. In: Allen, J.B., Hall, J.L., Hubbard, A.E., Neely, S.T., Tubis, A. (eds) Peripheral Auditory Mechanisms. Lecture Notes in Biomathematics, vol 64. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50038-1_17

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  • DOI: https://doi.org/10.1007/978-3-642-50038-1_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16095-3

  • Online ISBN: 978-3-642-50038-1

  • eBook Packages: Springer Book Archive

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