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A model for the nonlinear mechanism responsible for cochlear amplification
1. | Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, United States, United States |
References:
[1] |
J. Ashmore, Cochlear outer hair cell motility,, Physiol. Rev., 88 (2008), 173.
doi: 10.1152/physrev.00044.2006. |
[2] |
J. Ashmore, P. Avan, W. E. Brownell, P. Dallos, K. Dierkes, R. Fettiplace, K. Grosh, C. M. Hackney, A. J. Hudspeth, F. Jülicher, B. Lindner, P. Martin, J. Meaud, C. Petit, J. R. Santos Sacchi and B. Canlon, The remarkable cochlear amplifier,, Hearing Res., 266 (2010), 1.
doi: 10.1016/j.heares.2010.05.001. |
[3] |
J. F. Ashmore, A fast motile response in guinea-pig outer hair cells: The cellular basis of the cochlear amplifier,, J. Physiol., 388 (1987), 323. Google Scholar |
[4] |
I. A. Belyantseva, H. J. Adler, R. Curi, G. I. Frolenkov and B. Kachar, Expression and localization of prestin and the sugar transporter glut-5 during development of electromotility in cochlear outer hair cells,, J. Neurosci., 20 (2000). Google Scholar |
[5] |
R. S. Chadwick, Studies in cochlear mechanics,, in Mathematical Modeling of the Hearing Process (eds. M. H. Holmes and L. A. Rubenfeld), (1981), 369.
doi: 10.1007/978-3-642-46445-4_2. |
[6] |
R. S. Chadwick, Compression, gain, and nonlinear distortion in an active cochlear model with subpartitions,, Proc. Nat. Acad. Sci., 95 (1998), 14594.
doi: 10.1073/pnas.95.25.14594. |
[7] |
P. Dallos and B. Fakler, Prestin, a new type of motor protein,, Nature Reviews Molecular Cell Biology, 3 (2002), 104.
doi: 10.1038/nrm730. |
[8] |
D. Y. Gao, Nonlinear elastic beam theory with application in contact problems and variational approaches,, Mech. Res. Commun., 23 (1996), 11.
doi: 10.1016/0093-6413(95)00071-2. |
[9] |
R. Glueckert, K. Pfaller, A. Kinnefors, A. Schrott-Fischer and H. Rask-Andersen, High resolution scanning electron microscopy of the human organ of Corti: A study using freshly fixed surgical specimens,, Hearing Res., 199 (2005), 40.
doi: 10.1016/S0378-5955(04)00184-4. |
[10] |
M. H. Holmes, Frequency discrimination in the mammalian cochlea: Theory vs. experiment,, J. Acoust. Soc. Amer., 81 (1987), 103. Google Scholar |
[11] |
M. H. Holmes and J. D. Cole, Cochlear mechanics: Analysis for a pure tone,, J. Acoust. Soc. Amer., 76 (1984), 767.
doi: 10.1121/1.391300. |
[12] |
A. J. Hudspeth and D. P. Corey, Sensitivity, polarity, and conductance change in the response of vertebrate hair cells to controlled mechanical stimuli,, Proc. Nat. Acad. Sci., 74 (1977), 2407.
doi: 10.1073/pnas.74.6.2407. |
[13] |
Z. Liao, S. Feng, A. S. Popel, W. E. Brownell and A. A. Spector, Outer hair cell active force generation in the cochlear environment,, J. Acoust. Soc. Amer., 122 (2007), 2215.
doi: 10.1121/1.2776154. |
[14] |
M. C. Liberman, J. Gao, D. Z. He, X. Wu, S. Jia and J. Zuo, Prestin is required for electromotility of the outer hair cell and for the cochlear amplifier,, Nature, 419 (2002), 300.
doi: 10.1038/nature01059. |
[15] |
J. Lighthill, Energy flow in the cochlea,, J. Fluid Mechanics, 106 (1981), 149.
doi: 10.1017/S0022112081001560. |
[16] |
K. M. Lim and C. R. Steele, A three-dimensional nonlinear active cochlear model analyzed by the WKB-numeric method,, Hearing Res., 170 (2002), 190.
doi: 10.1016/S0378-5955(02)00491-4. |
[17] |
J. Meaud and K. Grosh, Response to a pure tone in a nonlinear mechanical-electrical-acoustical model of the cochlea,, Biophysical Journal, 102 (1996), 1237.
doi: 10.1016/j.bpj.2012.02.026. |
[18] |
K. E. Nilsen and I. J. Russell, The spatial and temporal representation of a tone on the guinea pig basilar membrane,, Proc. Natl. Acad. Sci., 97 (2006), 11751.
doi: 10.1073/pnas.97.22.11751. |
[19] |
J. O. Pickles, An Introduction to the Physiology of Hearing,, Emerald Group, (2008). Google Scholar |
[20] |
S. Ramamoorthy, N. V. Deo and K. Grosh, A mechano-electro-acoustical model for the cochlea: Response to acoustic stimuli,, JASA, 121 (2007), 2758.
doi: 10.1121/1.2713725. |
[21] |
I. J. Russell, A. R. Cody and G. P. Richarson, The responses of inner and outer hair cells in the basal turn of the guinea-pig cochlea and in the mouse cochlea grown in vitro,, Hearing Res., 22 (1986), 199.
doi: 10.1016/0378-5955(86)90096-1. |
[22] |
I. J. Russell and K. E. Nilsen, The location of the cochlear amplifier: Spatial representation of a single tone on the guinea pig basilar membrane,, Proc. Nat. Acad. Sci., 94 (1997), 2660.
doi: 10.1073/pnas.94.6.2660. |
[23] |
C. R. Steele and L. A. Taber, Comparison of WKB calculations and experimental results for three-dimensional cochlear models,, J. Acoust. Soc. Amer., 65 (1979), 1007.
doi: 10.1121/1.382570. |
[24] |
I. U. Teudt and C.-P. Richter, The hemicochlea preparation of the guinea pig and other mammalian cochleae,, J. Neurosci. Methods, 162 (2007), 187.
doi: 10.1016/j.jneumeth.2007.01.012. |
[25] |
J. A. Tolomeo and M. C. Holley, Mechanics of microtubule bundles in pillar cells from the inner ear,, Biophys. J., 73 (1997), 2241.
doi: 10.1016/S0006-3495(97)78255-9. |
[26] |
Y. Yoon, S. Puria and C. R. Steele, Frequency and spatial response of basilar membrane vibration in a three-dimensional gerbil cochlear model,, J. Mech. Mater. Struct., 2 (2007), 1449.
doi: 10.2140/jomms.2007.2.1449. |
show all references
References:
[1] |
J. Ashmore, Cochlear outer hair cell motility,, Physiol. Rev., 88 (2008), 173.
doi: 10.1152/physrev.00044.2006. |
[2] |
J. Ashmore, P. Avan, W. E. Brownell, P. Dallos, K. Dierkes, R. Fettiplace, K. Grosh, C. M. Hackney, A. J. Hudspeth, F. Jülicher, B. Lindner, P. Martin, J. Meaud, C. Petit, J. R. Santos Sacchi and B. Canlon, The remarkable cochlear amplifier,, Hearing Res., 266 (2010), 1.
doi: 10.1016/j.heares.2010.05.001. |
[3] |
J. F. Ashmore, A fast motile response in guinea-pig outer hair cells: The cellular basis of the cochlear amplifier,, J. Physiol., 388 (1987), 323. Google Scholar |
[4] |
I. A. Belyantseva, H. J. Adler, R. Curi, G. I. Frolenkov and B. Kachar, Expression and localization of prestin and the sugar transporter glut-5 during development of electromotility in cochlear outer hair cells,, J. Neurosci., 20 (2000). Google Scholar |
[5] |
R. S. Chadwick, Studies in cochlear mechanics,, in Mathematical Modeling of the Hearing Process (eds. M. H. Holmes and L. A. Rubenfeld), (1981), 369.
doi: 10.1007/978-3-642-46445-4_2. |
[6] |
R. S. Chadwick, Compression, gain, and nonlinear distortion in an active cochlear model with subpartitions,, Proc. Nat. Acad. Sci., 95 (1998), 14594.
doi: 10.1073/pnas.95.25.14594. |
[7] |
P. Dallos and B. Fakler, Prestin, a new type of motor protein,, Nature Reviews Molecular Cell Biology, 3 (2002), 104.
doi: 10.1038/nrm730. |
[8] |
D. Y. Gao, Nonlinear elastic beam theory with application in contact problems and variational approaches,, Mech. Res. Commun., 23 (1996), 11.
doi: 10.1016/0093-6413(95)00071-2. |
[9] |
R. Glueckert, K. Pfaller, A. Kinnefors, A. Schrott-Fischer and H. Rask-Andersen, High resolution scanning electron microscopy of the human organ of Corti: A study using freshly fixed surgical specimens,, Hearing Res., 199 (2005), 40.
doi: 10.1016/S0378-5955(04)00184-4. |
[10] |
M. H. Holmes, Frequency discrimination in the mammalian cochlea: Theory vs. experiment,, J. Acoust. Soc. Amer., 81 (1987), 103. Google Scholar |
[11] |
M. H. Holmes and J. D. Cole, Cochlear mechanics: Analysis for a pure tone,, J. Acoust. Soc. Amer., 76 (1984), 767.
doi: 10.1121/1.391300. |
[12] |
A. J. Hudspeth and D. P. Corey, Sensitivity, polarity, and conductance change in the response of vertebrate hair cells to controlled mechanical stimuli,, Proc. Nat. Acad. Sci., 74 (1977), 2407.
doi: 10.1073/pnas.74.6.2407. |
[13] |
Z. Liao, S. Feng, A. S. Popel, W. E. Brownell and A. A. Spector, Outer hair cell active force generation in the cochlear environment,, J. Acoust. Soc. Amer., 122 (2007), 2215.
doi: 10.1121/1.2776154. |
[14] |
M. C. Liberman, J. Gao, D. Z. He, X. Wu, S. Jia and J. Zuo, Prestin is required for electromotility of the outer hair cell and for the cochlear amplifier,, Nature, 419 (2002), 300.
doi: 10.1038/nature01059. |
[15] |
J. Lighthill, Energy flow in the cochlea,, J. Fluid Mechanics, 106 (1981), 149.
doi: 10.1017/S0022112081001560. |
[16] |
K. M. Lim and C. R. Steele, A three-dimensional nonlinear active cochlear model analyzed by the WKB-numeric method,, Hearing Res., 170 (2002), 190.
doi: 10.1016/S0378-5955(02)00491-4. |
[17] |
J. Meaud and K. Grosh, Response to a pure tone in a nonlinear mechanical-electrical-acoustical model of the cochlea,, Biophysical Journal, 102 (1996), 1237.
doi: 10.1016/j.bpj.2012.02.026. |
[18] |
K. E. Nilsen and I. J. Russell, The spatial and temporal representation of a tone on the guinea pig basilar membrane,, Proc. Natl. Acad. Sci., 97 (2006), 11751.
doi: 10.1073/pnas.97.22.11751. |
[19] |
J. O. Pickles, An Introduction to the Physiology of Hearing,, Emerald Group, (2008). Google Scholar |
[20] |
S. Ramamoorthy, N. V. Deo and K. Grosh, A mechano-electro-acoustical model for the cochlea: Response to acoustic stimuli,, JASA, 121 (2007), 2758.
doi: 10.1121/1.2713725. |
[21] |
I. J. Russell, A. R. Cody and G. P. Richarson, The responses of inner and outer hair cells in the basal turn of the guinea-pig cochlea and in the mouse cochlea grown in vitro,, Hearing Res., 22 (1986), 199.
doi: 10.1016/0378-5955(86)90096-1. |
[22] |
I. J. Russell and K. E. Nilsen, The location of the cochlear amplifier: Spatial representation of a single tone on the guinea pig basilar membrane,, Proc. Nat. Acad. Sci., 94 (1997), 2660.
doi: 10.1073/pnas.94.6.2660. |
[23] |
C. R. Steele and L. A. Taber, Comparison of WKB calculations and experimental results for three-dimensional cochlear models,, J. Acoust. Soc. Amer., 65 (1979), 1007.
doi: 10.1121/1.382570. |
[24] |
I. U. Teudt and C.-P. Richter, The hemicochlea preparation of the guinea pig and other mammalian cochleae,, J. Neurosci. Methods, 162 (2007), 187.
doi: 10.1016/j.jneumeth.2007.01.012. |
[25] |
J. A. Tolomeo and M. C. Holley, Mechanics of microtubule bundles in pillar cells from the inner ear,, Biophys. J., 73 (1997), 2241.
doi: 10.1016/S0006-3495(97)78255-9. |
[26] |
Y. Yoon, S. Puria and C. R. Steele, Frequency and spatial response of basilar membrane vibration in a three-dimensional gerbil cochlear model,, J. Mech. Mater. Struct., 2 (2007), 1449.
doi: 10.2140/jomms.2007.2.1449. |
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