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A Direct Asymptotic Approach in Cochlear Fluid Mechanics

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In his work a solution method for cochlear models is developed based on the a priori assumption that the length of the velocity wave on the basilar membrane is large with respect to the scala height.

The method is applied to a two-dimensional model of the cochlea. The present technique leads to improvements of the two-dimensional long-wave solutions.

In comparison with methods leading to exact solutions, the asymptotic approach is useful in spite of its limited validity, especially because it makes comprehensible the physical principles in the inner ear.


In der vorliegenden Arbeit wird unter der Voraussetzung, daß die Länge der Schnellewelle auf der Basilarmembran groß ist im Vergleich zur Scala-Höhe, ein Lösungsverfahren für Modelle der Cochlea entwickelt.

Das Verfahren wird auf ein zweidimensionales Modell der Cochlea angewandt. Es führt zu Verbesserungen der zweidimensionalen Lösungen für große Wellenlängen.

Verglichen mit Methoden, die zu exakten Lösungen führen, ist die asymptotische Behandlungsweise trotz ihrer beschränkten Gültigkeit nützlich, insbesondere weil sie eine Deutung der physikalischen Prinzipien des Innenohrs ermöglicht.


On part de l'hypothèse que la longueur d'onde des ondes de vitesse le long de la membrane basilaire est grande par rapport à la dimension transversale des rampes cochléaires et l'on en déduit une méthode d'investigation valable pour plusieurs modèles de fonctionnement de la cochlée.

Appliquée à un modèle cochléaire à deux dimensions, cette méthode conduit à améliorations des solutions bidimensionnelles pour ondes longues.

Si on la compare aux techniques qui fournissent des solutions exactes, la méthode asymptotique, en dépit de sa validité limitée, conserve l'avantage important de montrer et de faire comprendre le rôle des principes physiques fondamentaux dans le fonctionnement de l'oreille interne.

Document Type: Research Article

Publication date: 1980-11-01

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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