A Three-Degree-of-Freedom Active Micromechanical Model of the Cochlear Partition

  • K. L. Jones
  • D. O. Kim
Part of the NATO ASI Series book series (NSSA)


The earliest cochlear models were passive and macromechanical (e.g., Peterson and Bogert, 1950; Ranke, 1950; Zwislocki, 1950). In these models, the properties of the cochlear partition were lumped and represented by a single value of mass, stiffness, and damping for each location on the partition. Hence, we refer to these models as single degree-of-freedom (1-DOF) models. The results of calculations based on these models were in good agreement with the only measurements available at the time, those of von Békésy (1960), who worked with cochleas taken from cadavers.


Hair Cell Outer Hair Cell Basilar Membrane Otoacoustic Emission Auditory Nerve Fiber 
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  1. Allen, J.B. (1980) Cochlear micromechanics — A physical model of transduction. J. Acoust. Soc. Am. 68, 1660–1670.PubMedCrossRefGoogle Scholar
  2. Art, J.J., Crawford, A.C., and Fettiplace, R. (1986) Electrical resonance and membrane currents in turtle cochlear hair cells. Hearing Research 22, 31–36.PubMedCrossRefGoogle Scholar
  3. Ashmore, J.F. (1987) A fast motile response in guinea-pig outer hair cells: The cellular basis of the cochlear amplifier. J. Physiol. 388, 323–347.PubMedGoogle Scholar
  4. Bekesy, G. von (1960) Experiments in Hearing, McGraw Hill, New York.Google Scholar
  5. Bialek, W. (1983) Thermal and quantum noise in the ear. In: Mechanics of Hearing (Eds: de Boer, E. and Viergever, M.A.) Martinus Nijhoff Publishers, The Hague, pp. 185–192.CrossRefGoogle Scholar
  6. Bialek, W. and Witt, H. (1984) Quantum limits to oscillator stability: theory and experiments on acoustic emissions from the human ear. Phys. Lett. 10A, 173–177.Google Scholar
  7. Brownell, W.E., Bader, C.R., Bertrand, D., and de Ribaupierre, Y. (1985) Evoked mechanical responses of isolated cochlear outer hair cells. Science 227, 194–196.PubMedCrossRefGoogle Scholar
  8. Crawford, A.C. and Fettiplace, R. (1985) The mechanical properties of ciliary bundles of turtle hair cells. J. Physiol. 364, 359–380.PubMedGoogle Scholar
  9. de Boer, E. (1983) Power amplification in an active model of the cochlea — short-wave case. J. Acoust. Soc. Am. 73, 577–579.PubMedCrossRefGoogle Scholar
  10. Evans, E.F. and Wilson, J.P. (1973) The frequency selectivity of the cochlea. In: Basic Mechanisms in Hearing (Ed: Moller, A.R.) Academic Press, New York.Google Scholar
  11. Geisler, C.D. (1986) A model of the effect of outer hair cell motility on cochlear vibrations. Hearing Research 24, 125–131.PubMedCrossRefGoogle Scholar
  12. Gold, T. (1948) Hearing II. The physical basis of action in the cochlea. Proceedings of the Royal Society of London B 135, 492–498.CrossRefGoogle Scholar
  13. Howard, J., and Ashmore, J.F. (1986) The stiffness of hair bundles of the frog sacculus. Hearing Research 23, 93–104.PubMedCrossRefGoogle Scholar
  14. Kemp, D.T. (1978) Stimulated acoustic emissions from within the human auditory system. J. Acoust. Soc. Am. 64, 1386–1391.PubMedCrossRefGoogle Scholar
  15. Kemp, D.T. (1979) Evidence of mechanical nonlinearity and frequency selective wave amplification in the cochlea. Arch. Otohinolar. 224, 37–45.CrossRefGoogle Scholar
  16. Khanna, S.M. and Leonard, D.G.B. (1982) Basilar membrane tuning in the cat cochlea. Science 215, 305–306.PubMedCrossRefGoogle Scholar
  17. Kiang, N.Y.S., Watanabe, T., Thomas, E.C., and Clark, L.F. (1965) Discharge patterns of single fibres in the cat’s auditory nerve. In: Res. Monogr. M.I.T. 35, M.I.T. Press, Cambridge, MA.Google Scholar
  18. Kim, D.O. and Molnar, C.E. (1975) Cochlear Mechanics: Measurements and Models. In: The Nervous System, Vol. 3: Human Communication and Its Disorders (Editor-in-Chief: Tower, D.B.) Raven Press, New York.Google Scholar
  19. Kim, D.O., Neely, S.T., Molnar, C.E., and Matthews, J.W. (1980) An active cochlear model with negative damping in the partition: Comparison with Rhode’s ante-and post-mortem observations. In: Psychophysical, Physiological and Behavioural Studies in Hearing (Eds: van den Brink, G. and Bilsen, F.A.) Delft University Press, The Netherlands.Google Scholar
  20. Koshigoe, S. and Tubis, A. (1983) A non-linear feedback model for outer-hair-cell stereocilia and its implications for the response of the auditory periphery. In: Mechanics of Hearing (Eds: de Boer, E. and Viergever, M.A.) Martinus Nijhoff Publishers, The Hague, pp. 127–134.CrossRefGoogle Scholar
  21. Lim, D.J. (1980) Cochlear anatomy related to cochlear micromechanics, A review. J. Acoust. Soc. Am. 67, 1686–1695.PubMedCrossRefGoogle Scholar
  22. Mountain, D.C., Hubbard, A.E., and McMullen T.A. (1983) Electromechanical processes in the cochlea. In: Mechanics of Hearing (Eds: de Boer, E. and Viergever, M.A.) Martinus Nijhoff Publishers, The Hague, pp. 119–126.CrossRefGoogle Scholar
  23. Neely, S.T. (1986) Micromechanics of the cochlear partition. In: Peripheral Auditory Mechanisms (Eds: Allen, J.B., Hall, J.L., Hubbard, A., Neely, S.T., and Tubis, A.) Springer-Verlag, New York, pp. 137–146.Google Scholar
  24. Neely, S.T. and Kim, D.O. (1983) An active cochlear model showing sharp tuning and high sensitivity. Hearing Research 9, 123–130.PubMedCrossRefGoogle Scholar
  25. Peterson, L.C. and Bogert B.P. (1950) A dynamical theory of the cochlea. J. Acoust. Soc. Am. 22, 369–381.CrossRefGoogle Scholar
  26. Ranke, O.F. (1950) Theory of operation of the cochlea: A contribution to the hydrodynamics of the cochlea. J. Acoust. Soc. Am. 22, 772–777.CrossRefGoogle Scholar
  27. Rhode, W.S. and Geisler, C.D. (1967) Model of the displacement between opposing points on the tectorial membrane and reticular lamina. J. Acoust. Soc. Am. 42, 185–190.PubMedCrossRefGoogle Scholar
  28. Robles, L., Ruggero, M., and Rich, N.C. (1984) Mossbauer measurements of basilar membrane tuning curves in the chinchilla. J. Acoust. Soc. Am. 76, S35.CrossRefGoogle Scholar
  29. Russell, I.J. and Sellick, P.M. (1978) Intracellular studies of hair cells in the mammalian cochlea. J. Physiol. 284, 261–290.PubMedGoogle Scholar
  30. Sellick, P.M., Patuzzi, R., and Johnstone, B.M. (1982) Measurement of basilar membrane motion in the guinea pig using the Mossbauer technique. J. Acoust. Soc. Am. 72, 131–141.PubMedCrossRefGoogle Scholar
  31. Spoendlin, H. (1972) Innervation densities of the cochlea. Acta Otolar. 73, 235–248.CrossRefGoogle Scholar
  32. Strelioff, D. and Flock. A. (1984) Stiffness of sensory-cell hair bundles in the isolated guinea-pig cochlea. Hearing Research 15, 19–28.PubMedCrossRefGoogle Scholar
  33. Zenner, H.P., Zimmerman, U., and Schmitt, U. (1985) Reversible contraction of isolated mammalian cochlear hair cells. Hearing Research 18, 127–133.PubMedCrossRefGoogle Scholar
  34. Zwicker, E. (1986) A hardware cochlear nonlinear preprocessing model with active feedback. J. Acoust. Soc. Am. 80, 146–153.PubMedCrossRefGoogle Scholar
  35. Zwislocki, J. (1950) Theory of the acoustical action of the cochlea. J. Acoust. Soc. Am. 22, 778–784.CrossRefGoogle Scholar
  36. Zwislocki, J.J. (1974) A possible neuro-mechanical sound analysis in the cochlea. Acustica 31, 354–359.Google Scholar
  37. Zwislocki, J.J. and Kletsky, E.J. (1980) Micromechanics in the theory of cochlear mechanics. Hearing Research 2, 505–512.PubMedCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • K. L. Jones
    • 1
  • D. O. Kim
    • 1
  1. 1.Div. Otolaryngology/Surgery; Neuroscience ProgramUniversity of Connecticut Health CenterFarmingtonUSA

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