de Boer E, MacKay R
J Acoust Soc Am. 1980 Mar;67(3):882-90. doi: 10.1121/1.383968.
Most cochlea models consider the system as a pair of channels separated by a flexible membrane (basilar membrane). In the part of the wave where the stiffness of the membrane dominates, traveling waves are set up. Because of varying propagation conditions the speed of propagation diminishes most rapidly when the wave approaches the region where the basilar membrane shows resonance for the frequency under consideration. It might be expected that such a rapid change of propagation velocity gives rise to reflection. In this paper a one-dimensional model is considered in such a way that resonance properties stand out clearly. The results show that even when extremely little damping occurs (damping factor less than 10(-3)) virtually no reflection is evident. under conditions of low damping the nature of the response is such that it is incompatible with inner hair cell or nerve fiber responses from the cochlea: some kind of "sharpening mechanism" should be present. Limitations of the model considered should be studied further to verify the conclusions in more general cases. Despite these limitations the present model serves to illustrate typical physical phenomena, like reflection and energy dissipation, quite well.
大多数耳蜗模型将该系统视为由柔性膜(基底膜)分隔的一对通道。在膜的刚度占主导的波的部分,会形成行波。由于传播条件的变化,当波接近基底膜对所考虑频率表现出共振的区域时,传播速度下降得最快。可以预期,这种传播速度的快速变化会引起反射。在本文中,考虑了一个一维模型,使得共振特性清晰地显现出来。结果表明,即使发生极小的阻尼(阻尼因子小于10^(-3)),实际上也没有明显的反射。在低阻尼条件下,响应的性质与来自耳蜗的内毛细胞或神经纤维的响应不相符:应该存在某种“锐化机制”。所考虑模型的局限性应进一步研究,以便在更一般的情况下验证这些结论。尽管有这些局限性,当前模型很好地说明了典型的物理现象,如反射和能量耗散。