Mathematical modeling of the hearing process : proceedings of the NSF-CBMS regional conference held in Troy, NY, July 21-25, 1980

Bibliographic Information

Mathematical modeling of the hearing process : proceedings of the NSF-CBMS regional conference held in Troy, NY, July 21-25, 1980

edited by Mark H. Holmes and Lester A. Rubenfeld

(Lecture notes in biomathematics, 43)

Springer-Verlag, 1981

  • U.S.
  • Ger.

Available at  / 33 libraries

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Note

Includes bibliographies

Contents of Works

  • Cochlear modeling-1980 / by J.B. Allen
  • Studies in cochlear mechanics / by R.S. Chadwick
  • The Hydroelastic model of the cochlea / M.H. Holmes
  • Basilar membrane response measured in damaged cochleas of cats / by S.M. Khanna and D.G.B. Leonard
  • A mathematical model of the semicircular canals / by W.C. Van Buskirk
  • The acoustical inverse problem for the cochlea / by M.M. Sondhi

Description and Table of Contents

Description

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).

Table of Contents

Cochlear Modeling-1980.- Studies in Cochlear Mechanics.- A Hydroelastic Model of the Cochlea: An Analysis for Low Frequencies.- Basilar Membrane Response Measured in Damaged Cochleas of Cats.- A Mathematical Model of the Semicircular Canals.- The Acoustical Inverse Problem for the Cochlea.

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