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On Dipoles and the Radiating Membrane

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The Mechanics and Biophysics of Hearing

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 87))

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Abstract

In this work we shall assume that the basilar membrane is found at the real axis of the complex z-plane. The membrane is surrounded by a fluid. The hydrodynamical pressure p depends on space and time. The actual pressure p(x,0,t) at the membrane consIsts of a known part which results from a forced fluid flow and an unknown disturbance. The unknown pressure is often called the radiation pressure.

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References

  • Dijk, I.S.C. van (1976) On the hydrodynamics of the inner ear. Theoretical part. A mathematical model. Acustica 35, 190 – 201.

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  • Gununer, A.W. and Johnstone, BM. (1983) State of stress within the basilar membrane: a reevaluation of the basilar membrane misnomer. Hearing Research 12, 353 – 366.

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  • Ruggero, M.A. and Rich. N.C. (1987) Timing of spike initiation in cochlear afferents: dependence on the side of innervation. I. Neurophysiol. 58, 379 – 403.

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  • Zwislocki. J.J. (1965) Analysis of some audilOry characteristics. In: Handbook of Mathematical Psychology (Eds: Luce, R.D. et all. 10hn Wiley, New York.

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Author information

Authors and Affiliations

  1. Institute of Phonetic Sciences, University of Amsterdam, 338, 1016 CG, Amsterdam, The Netherlands

    J. S. C. van Dijk

Authors
  1. J. S. C. van Dijk
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Editor information

Editors and Affiliations

  1. Auditory Physiology Laboratory and Department of Neurobiology and Physiology, Northwestern University, 60208, Evanston, IL, USA

    Peter Dallos

  2. Department of Neurophysiology and Department of Electrical and Computer Engineering, University of Wisconsin-Madison, 53706, Madison, WI, USA

    C. Daniel Geisler

  3. Computer Systems Laboratory, Washington University, 63110, St. Louis, MO, USA

    John W. Matthews

  4. Department of Otolaryngology, University of Minnesota, 55414, Minneapolis, MN, USA

    Mario A. Ruggero

  5. Division of Applied Mechanics, Stanford University, 94305, Stanford, CA, USA

    Charles R. Steele

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© 1990 Springer-Verlag Berlin Heidelberg

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van Dijk, J.S.C. (1990). On Dipoles and the Radiating Membrane. In: Dallos, P., Geisler, C.D., Matthews, J.W., Ruggero, M.A., Steele, C.R. (eds) The Mechanics and Biophysics of Hearing. Lecture Notes in Biomathematics, vol 87. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4341-8_41

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  • DOI: https://doi.org/10.1007/978-1-4757-4341-8_41

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97473-6

  • Online ISBN: 978-1-4757-4341-8

  • eBook Packages: Springer Book Archive

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