Numerical simulation of Corti stimulated by fluid in tunnel of Corti

doi:10.1007/s10483-017-2197-9

Abstract

Abstract:

In this paper, the effect of fluid in a tunnel of Corti (TC) on organ of Corti (OC) is studied. A three-dimensional OC model including basilar membrane (BM), tectorial membrane (TM), inner and outer hair cells (OHCs), and reticular lamina (RL) is established by COMSOL. An initial pressure is applied to the fluid in the TC. The frequency response of the structure is analyzed, and the displacement of the BM is achieved. The results are in good agreement with the experimental data, confirming validity of the finite element model. Based on the model, the effect of fluid in the TC on the OC is studied. The results show that, when the pressure gradient is absent in the fluid, with the increase of the initial fluid pressure, the displacement of the BM increases. However, when the initial fluid pressure increases to a certain value, the increase rate of the displacement of the BM becomes very slow. The movement of the fluid amplifies the BM movement. Furthermore, the movement of the fluid can strengthen the movement of the OHCs and the shear movement of the stereocilia, especially in the vicinity of the characteristic frequency at which the amplification effect reaches a peak. Nevertheless, a pressure gradient in the fluid affects the BM movement.

Key words: shortage, oscillation, shock absorber, convergence, organ of Corti (OC), frequency response, fluid pressure, tunnel of Corti (TC)

2010 MSC Number:

O39
R318.01

Yiqiang CHEN, Wenjuan YAO, Shaofeng LIU. Numerical simulation of Corti stimulated by fluid in tunnel of Corti. Applied Mathematics and Mechanics (English Edition), 2017, 38(5): 737-748.

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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-017-2197-9

https://www.amm.shu.edu.cn/EN/Y2017/V38/I5/737

[1] Ruggero, M. A. and Rich, N. C. Furosemide alters organ of Corti mechanics:evidence for feedback of outer hair cells upon the basilar membrane. Journal of Neuroscience the Official Journal of the Society for Neuroscience, 11, 1057-1067(1991)
[2] Holley, M. C. and Ashmore, J. F. A cytoskeletal spring in cochlear outer hair cells. nature, 335(6191), 635-637(1988)
[3] Tolomeo, J. A., Steele, C. R., and Holley, M. C. Mechanical properties of the lateral cortex of mammalian auditory outer hair cells. Biophysical Journal, 71(1), 421-429(1996)
[4] Chan, E., Suneson, A., and Ulfendahl, M. Acoustic trauma causes reversible stiffness changes in auditory sensory cells. Neuroscience, 83(3), 961-968(1998)
[5] Hallworth, R. Passive compliance and active force generation in the guinea pig outer hair cell. Journal of Neurophysiology, 74(6), 2319-2328(1995)
[6] Zwislocki, J. J. and Cefaratti, L. K. Tectorial membrane Ⅱ:stiffness measurements in vivo. Hearing Research, 42(2/3), 211-227(1989)
[7] Cormack, J., Liu, Y., Nam, J. H., and Gracewski, S. M. Effect of basilar and tectorial membrane properties and gradients on cochlear response. Journal of the Acoustical Society of America, 135(4), 2166(2014)
[8] Cormack, J., Liu, Y., Nam, J. H., and Gracewski, S. M. Two-compartment passive frequency domain cochlea model allowing independent fluid coupling to the tectorial and basilar membranes. Journal of the Acoustical Society of America, 137(3), 1117-1125(2015)
[9] Morioka, I., Reuter, G., Reiss, P., Gummer, A. W., Hemmert, W., and Zenner, H. P. Soundinduced displacement responses in the plane of the organ of Corti in the isolated guinea-pig cochlea. Hearing Research, 83(1/2), 142-150(1995)
[10] Fridberger, A., Maarseveen, J., Scarfone, E., Ulfendahl, M., Flock, B., and Flock, A. Pressureinduced basilar membrane position shifts and the stimulus-evoked potentials in the low-frequency region of the guinea pig cochlea. Acta Physiologica, 161(2), 239-252(1997)
[11] Khanna, S. M., Flock, A., and Ulfendahl, M. Comparison of the tuning of outer hair cells and the basilar membrane in the isolated cochlea. Acta Oto-Laryngologica Supplementum, 467, 151-156(1989)
[12] Khanna, S. M., Flock, A., and Ulfendahl, M. Changes in cellular tuning along the radial axis of the cochlea. Acta Oto-Laryngologica Supplementum, 467, 163-173(1989)
[13] Khanna, S. M., Ulfendahl, M., and Flock, A. Mechanical tuning characteristics of outer hair cells and Hensen's cells. Acta Oto-Laryngologica Supplementum, 467, 139-144(1989)
[14] Khanna, S. M., Ulfendahl, M., and Flock, A. Changes in cellular tuning along the length of the cochlea. Acta Oto-Laryngologica Supplementum, 467, 157-162(1989)
[15] Khanna, S. M., Ulfendahl, M., and Flock, A. Changes in tuning of Reissner's membrane along the radial axis of the cochlea. Acta Oto-Laryngologica Supplementum, 467, 175-181(1989)
[16] Khanna, S. M., Ulfendahl, M., and Flock, A. Modes of cellular vibration in the organ of Corti. Acta Oto-Laryngologica Supplementum, 467, 183-188(1989)
[17] Khanna, S. M., Ulfendahl, M., and Flock, A. Dependence of cellular responses on signal level. Acta Oto-Laryngologica Supplementum, 467, 195-203(1989)
[18] Mountain, D. C. and Hubbard, A. E. Auditory Mechanisms:Processes and Models, World Scientific, Singapore (2006)
[19] Zagadou, B. F. and Mountain, D. C. Can outer hair cells actively pump fluid into the tunnel of Corti? Aip Conference Proceedings, 1403(50), 76-83(2011)
[20] Boer, E. D. Mechanics of the cochlea:modeling efforts. The Cochlea (eds. Dallos, P. A., Popper, N., and Fay, R. R.), Springer-Verlag, New York, 258-317(1996)
[21] Geisler, C. D. and Sang, C. A cochlear model using feed-forward outer-hair-cell forces. Hearing Research, 86(1/2), 132-146(1995)
[22] Steele, C. R., Baker, G., Tolomeo, J., and Zetes, D. Electro-mechanical models of the outer hair cell. Biophysics of Hair Cell Sensory Systems (eds. Duifhuis, H., Horst, J. W., Dijk, P. V., and Netten, S. M.), World Scientific, Singapore, 207-214(1993)
[23] Hubbard, A. A traveling-wave amplifier model of the cochlea. Science, 259, 68-71(1993)
[24] Hubbard, A. E., Gonzales, D., and Mountain, D. C. A nonlinear traveling-wave amplifier model of the cochlea. Biophysics of Hair Cell Sensory Systems (eds. Duifhuis, H., Horst, J. W., Dijk, P. V., and Netten, S. M.), World Scientific, Singapore, 370-376(1993)
[25] De Boer, E. Flockwave-propagation modes and boundary conditions for the Ulfendahl-Flock khanna preparation. The Mechanics and Biophysics of Hearing (eds. Dallos, P., Geisler, C. D., Matthews, J. W., Ruggero, M. A., and Steele, C. R.), Springer, Berlin, 333-339(1990)
[26] Hubbard, A. E., Yang, Z., Shatz, L., and Mountain, D. C. Multimode cochlear models. Recent Developments in Auditory Mechanics (eds. Wada, H., Takasaka, T., Ikeda, K., Ohyama, K., and Koike, T.), World Scientific, Singapore, 167-173(2000)
[27] Karavitaki, K. D. and Mountain, D. C. Evidence for outer hair cell driven oscillatory fluid flow in the tunnel of Corti. Biophysical Journal, 92(9), 3284-3293(2007)
[28] Andoh, M. and Wada, H. Prediction of the characteristics of two types of pressure waves in the cochlea:theoretical considerations. The Journal of the Acoustical Society of America, 116(1), 417-425(2004)
[29] Edge, R. M., Evans, B. N., Pearce, M., Richter, C. P., Hu, X., and Dallos, P. Morphology of the unfixed cochlea. Hearing Research, 124(1/2), 1-16(1998)
[30] Ren, T. Longitudinal pattern of basilar membrane vibration in the sensitive cochlea. Proceedings of the National Academy of Sciences, 99(26), 17101-17106(2002)
[31] Steele, C. R., Baker, G., Tolomeo, J., and Zetes, D. Cochlear mechanics. The Biomedical Engineering Handbook (ed. Bronzino, J. D.), CRC Press, Boca Raton, 1-12(2000)
[32] Ulfendahl, M., Chan, E., Mcconnaughey, W. B., Prost-Domasky, S., and Elson, E. L. Axial and transverse stiffness measures of cochlear outer hair cells suggest a common mechanical basis. Pflügers Archiv, 436(1), 9-15(1998)
[33] Laffon, E. and Angelini, E. On the Deiters cell contribution to the micromechanics of the organ of Corti. Hearing Research, 99(1/2), 106-109(1996)
[34] Tolomeo, J. A. and Holley, M. C. Mechanics of microtubule bundles in pillar cells from the inner ear. Biophysical Journal, 73(4), 2241-2247(1997)
[35] Zetes, D. E. and Steele, C. R. Fluid-structure interaction of the stereocilia bundle in relation to mechanotransduction. Journal of the Acoustical Society of America, 101(6), 3593-3601(1997)
[36] Naidu, R. C. and Mountain, D. C. Measurements of the stiffness map challenge a basic tenet of cochlear theories. Hearing Research, 124(1/2), 124-131(1998)
[37] Wang, Z. L., Wang, X. L., Hu, Y. J., Shi, H., and Cheng, H. M. FEM simulation of sound transmission based on integrated model of middle ear and cochlea. Chinese Journal of Biomedical Engineering, 30(1), 60-66(2011)
[38] Liberman, M. C. The cochlear frequency map for the cat:labeling auditory-nerve fibers of known characteristic frequency. Journal of the Acoustical Society of America, 72(5), 1441-1449(1982)
[39] Müller, M. The cochlear place-frequency map of the adult and developing Mongolian gerbil. Hearing Research, 94(1/2), 148-156(1996)

Numerical simulation of Corti stimulated by fluid in tunnel of Corti

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