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摘要

诠释耳蜗的主动感音放大机制一直是未解的医学难题. 这种机制与耳蜗中外毛细胞顶端的静纤毛运动密切相关, 静纤毛运动又受到tip-link张力与淋巴液流体力的调节. 因此, 研究静纤毛运动过程中tip-link张力是诠释耳蜗的主动感音放大机制的重要环节. 本文把静纤毛视为变形体, 基于泊肃叶流动理论并结合分布参数模型, 推导了静纤毛运动的解析解. 研究了盖膜剪切荷载作用下静纤毛和淋巴液相互作用的动力响应以及tip-link张力的变化规律. 研究发现: 当静纤毛的杨氏模量减小时, 在小于峰值频率的区域, tip-link张力显著增大, $ {f_2} $ 的峰值频率减小. 以往的研究将静纤毛作为刚体, 势必导致低频声音信号作用减弱. 当系数 c= 0 (无黏性阻力)时, $ {f_2} $ 频率选择特性存在; 当 μ= 0(无压力)时, $ {f_2} $ 频率选择特性消失, 因此淋巴液可能是通过在静纤毛间产生压强的方式来调节毛束的频率特性的. 另外, 盖膜剪切荷载频率越高, 静纤毛轴弯曲越明显, 发束内外域的压强差也越大.

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Abstract

Explanation of cochlear active acoustic amplification mechanism has been an unsolved medical problem. This mechanism is closely related to the motion of the stereocilia at the top of the outer hair cells in the cochlea. The motion of stereocilia is regulated by the tip-link tension and the fluid force of the lymph fluid. Therefore, studying the tip-link tension during the motion of stereocilia is an important part of the explanation of the cochlea's active sensory sound amplification mechanism. Most of previous studies regarded the stereocilia as rigid bodies, and ignored the influence of shaft bending when studying the mechanical properties of hair bundle. Most of the researches on elastic stereocilia used the finite element simulation, or simplified the model by ignoring the fluid-solid coupling with lymph fluid, or considered only static loading. Based on the Poiseuille flow combined with the distributed parameter model, the analytical solution of the elastic motion of stereocilia is derived in this work. The dynamic response of the stereocilia under the shear force of the tectorial membrane and the change law of tip-link tension are studied. The shaft bending produces a nonlinear accumulation of displacement at the height of the stereocilia. The higher the stereocilia, the more obvious the accumulation effect is. Under the action of dynamic load, the shaft bending contributes most to the displacement response in the tall stereocilium, and this contribution is easily affected by frequency change. Under low frequency load, the displacement response of tall stereocilium comes mainly from the root deflection. At high frequency, the shaft bending increases significantly, and the displacement response is produced by the combination of shaft bending and root deflection. The change of F-actin content in the cochlea exposed to noise would affect the stereocilia stiffness. In this paper, it is found that the decrease of stereociliary Young's modulus will increase the peak value of normalized tension and reduce its peak frequency, and the amplitude of normalized tension will increase under the low frequency shear load. Since the tip-link is connected to an ion channel, the change of normalized tension will affect the probability of ion channels opening, change the ability of cochlea to perceive the sound of corresponding frequency, and then affect the frequency selectivity of hair bundle. Therefore, previous studies of stereocilia regarded as rigid bodies underestimated the response of the cochlea to low-frequency acoustic signals. This model accurately describes the law of tip-link tension and provides a corresponding theoretical explanation for hearing impairment caused by noise environment. Previous experiments have shown that the lymphatic viscous resistance has little effect on the deflection of stereocilia. In this paper, when the viscous resistance is ignored, the tip-link tension changes very little, and when the pressure between the stereocilia is ignored, the tip-link tension changes significantly and the resonance peak of $ {f_2} $ disappears. Therefore, lymphatic fluid regulates the resonance properties of the tip-link tension by creating the pressure between the stereocilia. The presence of lymphatics is essential for generating the frequency characteristics of the hair bundle. In the low frequency domain, the motion of stereocilia is regulated mainly by tip-link, and in the high frequency domain, it is regulated mainly by lymphatic pressure.

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作者及机构信息

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通信作者:姚文娟,wjyao@shu.edu.cn

基金项目:国家自然科学基金重点项目(批准号: 11932010)资助的课题

Authors and contacts

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Corresponding author:Yao Wen-Juan,wjyao@shu.edu.cn

Funds:Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 11932010)

文章全文: translate this paragraph

参考文献

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施引文献

下载: 全尺寸图片幻灯片

参数名称	参数值
静纤毛高度($l_1 $, $l_2 $, $l_3 $)/μm	6.0, 2.8, 1.4
静纤毛底圆锥高度($l_{{\rm{a}}1} $, $l_{{\rm{a}}2} $, $l_{{\rm{a}}3} $)/μm	1.6, 1.0, 0.6
高, 中静纤毛侧壁上tip-link 连接点高度($l_{{\rm{t}}1} $, $l_{{\rm{t}}2} $)/μm	3.0, 1.6
圆柱体半径(r)/nm	150
圆锥最小半径(r_a)/nm	60
相邻静纤毛间距(h₀)/nm	50
静纤毛体均布质量(m)/(kg·m^–1)	8.48 × 10^–11
静纤毛杨氏模量(E)/GPa	1.2
淋巴液粘度系数(c=μ)/(Pa·s)	6.59 × 10^–4
tip-link轴与水平面夹角(β₁=β₂)	π/4
tip-link弹性常数(k_tip1=k_tip2)/(N·m^–1)	5.3 × 10^–4

下载: 导出CSV

实验值	静刚度/ (10^–4N·m^–1)	本模型计算的静刚度/(10^–4N·m^–1)
Flock and Strelioff^[33](1984)	7.8 ± 2.2	6.25
Szymko et al.^[34](1992)	5.04 ± 2.68	6.25

下载: 导出CSV

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