Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (6): 867-876.doi: https://doi.org/10.1007/s10483-017-2203-8

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Mechanical model of organ of Corti

Yiqiang CHEN, Wenjuan YAO, Shaofeng LIU   

  1. Department of Civil Engineering, Shanghai University, Shanghai 200444, China
  • 收稿日期:2016-04-28 修回日期:2016-10-08 出版日期:2017-06-01 发布日期:2017-06-01
  • 通讯作者: Wenjuan YAO E-mail:wjyao@mail.shu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Nos. 11272200 and 11572186)

Mechanical model of organ of Corti

Yiqiang CHEN, Wenjuan YAO, Shaofeng LIU   

  1. Department of Civil Engineering, Shanghai University, Shanghai 200444, China
  • Received:2016-04-28 Revised:2016-10-08 Online:2017-06-01 Published:2017-06-01
  • Contact: Wenjuan YAO E-mail:wjyao@mail.shu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Nos. 11272200 and 11572186)

摘要:

According to the vibration characteristics of the organ of Corti (OC), seven hypotheses are made to simplify the structure of the model, and a mechanical OC model is established. Using the variational principle, a displacement analytical expression is solved under a certain pressure. The results are in good agreement with experimental data, showing the validity of the formula. Combined with the damage caused by noise in clinic, it is found that the hardening of outer hair cells and outer stereocilia can lead to loss of hearing and generation of threshold shift. In addition, the results show that high frequency resonance occurs at the bottom of the basilar membrane (BM), and low frequency resonance occurs at the top of the BM. This confirms the frequency selective characteristics of the BM. Further, using this formula can avoid interference of the envi-ronment and the technical level of the test personnel, and can evaluate performance of the OC objectively.

关键词: solitary waves, strong interaction, stratified fluids, 3D problem, organ of Corti (OC), variational principle, hardening of outer hair cells (OHCs), hardening of outer stereocilia, threshold shift

Abstract:

According to the vibration characteristics of the organ of Corti (OC), seven hypotheses are made to simplify the structure of the model, and a mechanical OC model is established. Using the variational principle, a displacement analytical expression is solved under a certain pressure. The results are in good agreement with experimental data, showing the validity of the formula. Combined with the damage caused by noise in clinic, it is found that the hardening of outer hair cells and outer stereocilia can lead to loss of hearing and generation of threshold shift. In addition, the results show that high frequency resonance occurs at the bottom of the basilar membrane (BM), and low frequency resonance occurs at the top of the BM. This confirms the frequency selective characteristics of the BM. Further, using this formula can avoid interference of the envi-ronment and the technical level of the test personnel, and can evaluate performance of the OC objectively.

Key words: solitary waves, strong interaction, stratified fluids, 3D problem, hardening of outer stereocilia, threshold shift, organ of Corti (OC), variational principle, hardening of outer hair cells (OHCs)

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