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Mathematical Modeling of the Hearing Process

Proceedings of the NSF-CBMS Regional Conference Held in Troy, NY, July 21–25, 1980

  • Conference proceedings
  • © 1981

Overview

Editors:
  1. Mark H. Holmes

    1. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

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  2. Lester A. Rubenfeld

    1. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Biomathematics (LNBM, volume 43)

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Table of contents (6 papers)

  1. Front Matter

    Pages N2-v
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  2. Cochlear Modeling — 1980

    • J. B. Allen
    Pages 1-8

  3. Studies in Cochlear Mechanics

    • R. S. Chadwick
    Pages 9-54

  4. A Hydroelastic Model of the Cochlea: An Analysis for Low Frequencies

    • Mark H. Holmes
    Pages 55-69

  5. Basilar Membrane Response Measured in Damaged Cochleas of Cats

    • S. M. Khanna, D. G. B. Leonard
    Pages 70-84

  6. A Mathematical Model of the Semicircular Canals

    • William C. Van Buskirk
    Pages 85-94

  7. The Acoustical Inverse Problem for the Cochlea

    • Man Mohan Sondhi
    Pages 95-104

  8. Back Matter

    Pages 105-107
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Keywords

About this book

The articles of these proceedings arise from a NSF-CBMS regional conference on the mathematical modeling of the hearing process, that was held at Rensselaer Polytechnic Institute in the summer of 1980. To put the a=ticles in perspective, it is best to briefly review the history of suc~ modeling. It has proceeded, more or less, in three stages. The first was initiated by Herman Helmholtz in the 1880's, whose theories dominated the subject for years. However, because of his lack of accurate experimental data and his heuristic arguments it became apparent that his models needed revision. Accordingly, based on the experimental observations of von Bekesy, the "long wave" theories were developed in the 1950's by investigators such as Zwislocki, Peterson, and Bogert. However, as the ex?eri~ents became more refined (such as Rhode's ~wssbauer Measurements) even these models came into question. This has brought on a flurry of 'activity in recent years into how to extend the models to account for these more recent eXT. lerimental observations. One approach is through a device co~monly refered to as a second filter (see Allen's article) and another is through a more elaborate hydroelastic model (see Chadwick's article). In conjunction with this latter approach, there has been some recent work on developing a low frequency model of the cochlea (see Holmes' article).

Editors and Affiliations

  • Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

    Mark H. Holmes, Lester A. Rubenfeld

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