Babbs Charles F
Weldon School of Biomedical Engineering and Department of Basic Medical Sciences, Purdue University, 1246 Lynn Hall, West Lafayette, IN 47907-1246, USA.
J Biophys. 2011;2011:435135. doi: 10.1155/2011/435135. Epub 2011 Oct 19.
To explore the fundamental biomechanics of sound frequency transduction in the cochlea, a two-dimensional analytical model of the basilar membrane was constructed from first principles. Quantitative analysis showed that axial forces along the membrane are negligible, condensing the problem to a set of ordered one-dimensional models in the radial dimension, for which all parameters can be specified from experimental data. Solutions of the radial models for asymmetrical boundary conditions produce realistic deformation patterns. The resulting second-order differential equations, based on the original concepts of Helmholtz and Guyton, and including viscoelastic restoring forces, predict a frequency map and amplitudes of deflections that are consistent with classical observations. They also predict the effects of an observation hole drilled in the surrounding bone, the effects of curvature of the cochlear spiral, as well as apparent traveling waves under a variety of experimental conditions. A quantitative rendition of the classical Helmholtz-Guyton model captures the essence of cochlear mechanics and unifies the competing resonance and traveling wave theories.
为了探究耳蜗中声频转导的基本生物力学原理，从第一性原理构建了基底膜的二维分析模型。定量分析表明，沿膜的轴向力可忽略不计，从而将问题简化为一组径向维度上的有序一维模型，其所有参数均可根据实验数据确定。非对称边界条件下径向模型的解产生了逼真的变形模式。基于亥姆霍兹和盖顿的原始概念并包含粘弹性恢复力的二阶微分方程，预测了与经典观察结果一致的频率图和偏转幅度。它们还预测了在周围骨上钻观察孔的影响、耳蜗螺旋曲率的影响以及各种实验条件下的表观行波。经典亥姆霍兹 - 盖顿模型的定量表述抓住了耳蜗力学的本质，并统一了相互竞争的共振和行波理论。
