. Biophysical science. Biophysics. 6 : 2/ Neural Mechanisms of Hearing 109 which the wave velocity is a function of the frequency. In such a medium, one may have a piling up of the waves to maxima in certain regions. This phenomenon can be observed in the build up and decrease of surface waves on the ocean. It is also a familiar idea used repeatedly in quantum theory. The various mathematical analyses of the cochlea, using this type of model, are beyond the scope of this text but should be studied by readers with sufficient mathematical preparation. Bekesy demonstrated s Dental Dam £v\\ (a
. Biophysical science. Biophysics. 6 : 2/ Neural Mechanisms of Hearing 109 which the wave velocity is a function of the frequency. In such a medium, one may have a piling up of the waves to maxima in certain regions. This phenomenon can be observed in the build up and decrease of surface waves on the ocean. It is also a familiar idea used repeatedly in quantum theory. The various mathematical analyses of the cochlea, using this type of model, are beyond the scope of this text but should be studied by readers with sufficient mathematical preparation. Bekesy demonstrated s Dental Dam £v\\ (a) Window Analoq v/ ".'.'' ⢠"::." '.'.'.â , Analog of Apex of Spiral (Helicotrema) Vibrator. (b) Analog of Apex Dental Dam (c) Figure 3. Bekesy's hydrodynamic analog of cochlea, (a) Transverse cross section. This shows two channels separated by dental dam. (b) Longitudinal cross section. This shows increase in width from "window" to "; (c) Perspective view. The two end windows as well as the partition are of dental dam. that these hydrodynamic waves existed not only in the cochlea but also in simple models which are satisfying substitutes for a mathematical analysis. For the simplest model, he used two rigid walls (microscope slides) resting on a solid surface and covered with dental dam (rubber sheet). A slightly more refined system is shown in Figure 3, where two channels and two windows are included. At low frequencies, the actual motion of the dental dam can be observed. There is a maximum region for each frequency; this maximum is more or less independent of the shape of the channels and varies only slightly for major changes of the thickness or tension of the elastic membrane or of the dimensions of the channel. It is important that one window be driven and the other free. The model emphasizes the biological utility of the hydrodynamic waves whose maxima do not depend on exact physical dimensions. There is a maximum shearing f
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