\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

A model for the nonlinear mechanism responsible for cochlear amplification

Abstract Related Papers Cited by
  • A nonlinear model for the mechanism responsible for the amplification of the sound wave in the ear is derived using the geometric and material properties of the system. The result is a nonlinear beam equation, with the nonlinearity appearing in a coefficient of the equation. Once derived, the beam problem is analyzed for various loading conditions. Based on this analysis it is seen that the mechanism is capable of producing a spatially localized gain, as required by any amplification mechanism, but it is also capable of increasing the spatial contrast in the signal.
    Mathematics Subject Classification: Primary: 92C10, 74H10; Secondary: 35C20.

    Citation:

    \begin{equation} \\ \end{equation}
  • [1]

    J. Ashmore, Cochlear outer hair cell motility, Physiol. Rev., 88 (2008), 173-210.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), 1-17.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), 323-347.

    [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), RC116.

    [5]

    R. S. Chadwick, Studies in cochlear mechanics, in Mathematical Modeling of the Hearing Process (eds. M. H. Holmes and L. A. Rubenfeld), Lecture Notes in Biomathematics, Springer-Verlag, New York, 1981, 369-386.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), 14594-14599.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), 104-111.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), 11-17.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), 40-56.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), 103-114.

    [11]

    M. H. Holmes and J. D. Cole, Cochlear mechanics: Analysis for a pure tone, J. Acoust. Soc. Amer., 76 (1984), 767-778.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), 2407-2411.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), 2215-2225.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), 300-304.doi: 10.1038/nature01059.

    [15]

    J. Lighthill, Energy flow in the cochlea, J. Fluid Mechanics, 106 (1981), 149-213.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), 190-205.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), 1237-1246.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), 11751-11758.doi: 10.1073/pnas.97.22.11751.

    [19]

    J. O. Pickles, An Introduction to the Physiology of Hearing, Emerald Group, Bingley, UK, 2008.

    [20]

    S. Ramamoorthy, N. V. Deo and K. Grosh, A mechano-electro-acoustical model for the cochlea: Response to acoustic stimuli, JASA, 121 (2007), 2758-2773.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), 199-216.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), 2660-2664.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), 1007-1018.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), 187-197.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), 2241-2247.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), 1449-1458.doi: 10.2140/jomms.2007.2.1449.

  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(37) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return