被动螺旋耳蜗力学模型  

Computational mathematics model of Passive spiral cochlea

作　　者：高雷[1] 梁俊毅 姚文娟[1] 周雷 黄新生 Gao Lei;Liang Jun-Yi;Yao Wen-Juan;Zhou Lei;Huang Xin-Sheng(School of Mechanics and Engineering Science,Shanghai University,Shanghai 200072,China;Genomic Medicine Institute,Lerner Research Institute,Cleveland Clinic Foundation,Cleveland,OH 44106,USA;Department of Otolaryngology,Zhongshan Hospital,Fudan University,Shanghai 200032,China)

机构地区：[1]上海大学力学与工程科学学院,上海200072 [2]美国克利夫兰诊所勒纳研究所,美国俄亥俄44106 [3]复旦大学附属中山医院耳鼻喉科,上海200032

出　　处：《物理学报》2023年第7期267-276,共10页Acta Physica Sinica

基　　金：国家自然科学基金重点项目(批准号:11932010)资助的课题.

摘　　要：耳蜗是人体重要的感音器官,蜗管中的基底膜是所有微观组织的支撑结构,其与淋巴液之间复杂的耦合运动是耳蜗感音功能产生的首要条件.通过将耳蜗的长度划分为有限数量的元素,并给定径向分布,推导出一组控制方程,用于微力学和流体耦合.然后结合矩阵组合方程,得到基底膜和淋巴液完全耦合的响应.分析不同激励下基底膜的瞬时响应、不同频率激励时共振位置的时域响应以及基底膜质量及刚度变化对其生物力学行为影响和听力功能的作用.结果发现:基底膜质量及刚度的增大均导致最大响应减弱,但最大响应位置却向基底膜不同方向移动,前者向底部而后者向顶部向移动;变化的基底膜截面可以很快地降低耳蜗中部和顶部的特征频率,以达到较好的滤波和放大特定频率激励的效果,且可以让耳蜗对特定频率区(1000-3000 Hz)间有较高的分辨效果.The ear is an important sensory organ of the human body.Cochlea has a pivotal role in the hearing system of human.Nearly 300 million people around the world suffer from sensorineural deafness caused by cochlear lesions.Because the mechanism of cochlear sensing is very complex,it has not been understood completely so far,which has become one of the important problems in medicine today.The basilar membrane in the cochlear canal is the supporting structure of all microstructures,the complex coupling motion between basilar membrane and lymph in cochlear canal is the primary condition for generating the cochlear sound sensing function.Therefore,it is essential to study the dynamic behavior of the basement membranes.By dividing the length of the cochlea into a finite number of elements and giving the radial distribution,a set of governing equations is derived for coupling micromechanics with fluid.Then combining these equations with the matrix combination equation,the complete coupling response of basilar membrane and lymph is obtained.The instantaneous responses of the basilar membrane under different excitations,the time domain responses of the resonance position under different frequency excitations,and the effects of the changes of the mass and stiffness of the basilar membrane on its biomechanical properties and hearing function are analyzed.The results showthat the increase of the mass and stiffness of the basilar membrane leads to the weakening of the maximum response,and the increase of the mass causes the maximum response position to move to the bottom of the basilar membrane;the increase of the basilar membrane stiffness causes the maximum response position to move to the top of the basilar membrane;the changing basilar membrane cross-section can rapidly reduce the characteristic frequencies at the middle and top of the cochlea,thus achieving better filtering and amplification of specific frequency excitation,and enabling the cochlea to have a higher resolution in a specific frequency range of 1000–3000 Hz.

关 键 词：人耳螺旋耳蜗 基底膜 力学模型 时域分析 

分 类 号：R764[医药卫生—耳鼻咽喉科] R318.01[医药卫生—临床医学]