Table of Contents
Journal of Biophysics
Volume 2011, Article ID 435135, 16 pages
http://dx.doi.org/10.1155/2011/435135
Research Article

Quantitative Reappraisal of the Helmholtz-Guyton Resonance Theory of Frequency Tuning in the Cochlea

Weldon School of Biomedical Engineering and Department of Basic Medical Sciences, Purdue University, 1246 Lynn Hall, West Lafayette, IN 47907-1246, USA

Received 9 April 2011; Accepted 2 August 2011

Academic Editor: P. Bryant Chase

Copyright © 2011 Charles F. Babbs. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. B. Allen, “Two dimensional cochlear fluid model: new results,” Journal of the Acoustical Society of America, vol. 61, no. 1, pp. 110–119, 1977. View at Google Scholar · View at Scopus
  2. S. J. Elliott, E. M. Ku, and B. Lineton, “A state space model for cochlear mechanics,” Journal of the Acoustical Society of America, vol. 122, no. 5, pp. 2759–2771, 2007. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
  3. “A Comprehensive Three-Dimensional Model of the Cochlea,” http://pcbunn.cacr.caltech.edu/Cochlea/jcp_paper.pdf.
  4. “Detailed Simulation of the Cochlea: Recent Progress Using Large Shared Memory Parallel Computers,” http://pcbunn.cacr.caltech.edu/Cochlea.
  5. F. Mammano and R. Nobili, “Biophysics of the cochlea: linear approximation,” Journal of the Acoustical Society of America, vol. 93, no. 6, pp. 3320–3332, 1993. View at Publisher · View at Google Scholar · View at Scopus
  6. L. Robles and M. A. Ruggero, “Mechanics of the mammalian cochlea,” Physiological Reviews, vol. 81, no. 3, pp. 1305–1352, 2001. View at Google Scholar · View at Scopus
  7. J. Zwislocki, “Theory of the acoustical action of the cochlea,” Journal of the Acoustical Society of America, vol. 22, pp. 778–784, 1950. View at Google Scholar
  8. G. V. Bekesy, “Current status of theories of hearing,” Science, vol. 123, no. 3201, pp. 779–783, 1956. View at Google Scholar · View at Scopus
  9. A. Dancer, “Experimental look at cochlear mechanics,” Audiology, vol. 31, no. 6, pp. 301–312, 1992. View at Google Scholar · View at Scopus
  10. M. A. Ruggero, “Cochlear delays and traveling waves: comments on “experimental look at cochlear mechanics”,” Audiology, vol. 33, no. 3, pp. 131–142, 1994. View at Google Scholar · View at Scopus
  11. A. Bell, “Hearing: travelling wave or resonance?” PLoS Biology, vol. 2, no. 10, e337, 2004. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
  12. W. S. Rhode, “Observations of the vibration of the basilar membrane in squirrel monkeys using the Mossbauer technique,” Journal of the Acoustical Society of America, vol. 49, no. 4, pp. 1218–1231, 1971. View at Google Scholar · View at Scopus
  13. P. J. Kolston and J. F. Ashmore, “Finite element micromechanical modeling of the cochlea in three dimensions,” Journal of the Acoustical Society of America, vol. 99, no. 1, pp. 455–467, 1996. View at Publisher · View at Google Scholar · View at Scopus
  14. H. Helmholtz, On the Sensations of Tone as a Physiological Basis for the Theory of Music, Thomas, Green, and Company, London, UK, 3rd edition, 1895.
  15. A. Guyton, Textbook of Medical Physiology, W. B. Saunders, London, UK, 1st edition, 1956.
  16. A. Guyton, Function of the Human Body, W. B. Saunders, Philadelphia. Pa, USA, 1959.
  17. L. M. Cabezudo, “The ultrastructure of the basilar membrane in the cat,” Acta Oto-Laryngologica, vol. 86, no. 3-4, pp. 160–175, 1978. View at Google Scholar · View at Scopus
  18. S. Liu and R. D. White, “Orthotropic material properties of the gerbil basilar membrane,” Journal of the Acoustical Society of America, vol. 123, no. 4, pp. 2160–2171, 2008. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
  19. A. Kassimali, Matrix Analysis of Structures, Brooks/Cole Publishing Company, Pacific Grove, Calif, USA, 1999.
  20. A. Hubbard, “A traveling-wave amplifier model of the cochlea,” Science, vol. 259, no. 5091, pp. 68–71, 1993. View at Google Scholar · View at Scopus
  21. M. Homer, A. Champneys, G. Hunt, and N. Cooper, “Mathematical modeling of the radial profile of basilar membrane vibrations in the inner ear,” Journal of the Acoustical Society of America, vol. 116, no. 2, pp. 1025–1034, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. G. V. Bekesy, Experiments in Hearing, McGraw Hill, New York, NY, USA, 1960.
  23. J. Keen, “A note on the length of the basilar membrane in man and and in various animals,” Journal of Anatomy, vol. 74, pp. 524–527, 1940. View at Google Scholar
  24. J. D. Miller, “Sex differences in the length of the organ of Corti in humans,” Journal of the Acoustical Society of America, vol. 121, no. 4, pp. EL151–EL155, 2007. View at Publisher · View at Google Scholar · View at Scopus
  25. M. di Fiore, Atlas of Human Histology, Lea & Febiger, Philadelphia, Pa, USA, 5th edition, 1981.
  26. R. C. Naidu and D. C. Mountain, “Basilar membrane tension calculations for the gerbil cochlea,” Journal of the Acoustical Society of America, vol. 121, no. 2, pp. 994–1002, 2007. View at Publisher · View at Google Scholar · View at Scopus
  27. H. Wada, M. Sugawara, T. Kobayashi, K. Hozawa, and T. Takasaka, “Measurement of guinea pig basilar membrane using computer-aided three- dimensional reconstruction system,” Hearing Research, vol. 120, no. 1-2, pp. 1–6, 1998. View at Publisher · View at Google Scholar · View at Scopus
  28. D. R. Lide, Ed., CRC Handbook of Chemistry and Physics, CRC Press, Boca Raton, Fla, USA, 76th edition, 1995.
  29. S. Puria, W. T. Peake, and J. J. Rosowski, “Sound-pressure measurements in the cochlear vestibule of human-cadaver ears,” Journal of the Acoustical Society of America, vol. 101, no. 5, pp. 2754–2770, 1997. View at Publisher · View at Google Scholar · View at Scopus
  30. V. Summers, E. De Boer, and A. L. Nuttal, “Basilar-membrane responses to multicomponent (Schroeder-phase) signals: understanding intensity effects,” Journal of the Acoustical Society of America, vol. 114, no. 1, pp. 294–306, 2003. View at Publisher · View at Google Scholar · View at Scopus
  31. A. Recio and W. S. Rhode, “Basilar membrane responses to broadband stimuli,” Journal of the Acoustical Society of America, vol. 108, no. 5 I, pp. 2281–2298, 2000. View at Publisher · View at Google Scholar · View at Scopus
  32. A. Recio, N. C. Rich, S. S. Narayan, and M. A. Ruggero, “Basilar-membrane responses to clicks at the base of the chinchilla cochlea,” Journal of the Acoustical Society of America, vol. 103, no. 4, pp. 1972–1989, 1998. View at Publisher · View at Google Scholar · View at Scopus
  33. T. Lin and J. J. Guinan Jr., “Time-frequency analysis of auditory-nerve-fiber and basilar-membrane click responses reveal glide irregularities and non-characteristic-frequency skirts,” Journal of the Acoustical Society of America, vol. 116, no. 1, pp. 405–416, 2004. View at Publisher · View at Google Scholar · View at Scopus
  34. D. D. Greenwood, “A cochlear frequency-position function for several species—29 years later,” Journal of the Acoustical Society of America, vol. 87, no. 6, pp. 2592–2605, 1990. View at Publisher · View at Google Scholar · View at Scopus
  35. P. J. Kolston, “Comparing in vitro, in situ, and in vivo experimental data in a three-dimensional model of mammalian cochlear mechanics,” Proceedings of the National Academy of Sciences of the United States of America, vol. 96, no. 7, pp. 3676–3681, 1999. View at Google Scholar · View at Scopus
  36. L. A. Geddes and L. E. Baker, Principles of Applied Biomedial Instrumentation, Wiley-Interscience, New York, NY, USA, 3rd edition, 1989.
  37. G. V. Bekesy, “The variation in phase along the basilar membrane with sinusoidal vibrations,” Journal of the Acoustical Society of America, vol. 19, pp. 452–460, 1947. View at Google Scholar
  38. A. Guyton, Function of the Human Body, W. B. Saunders, Philadelphia, Pa, USA, 1964.
  39. G. V. Bekesy, “Current status of theories of hearing,” Science, vol. 123, no. 3201, pp. 779–783, 1956. View at Google Scholar · View at Scopus
  40. G. V. Bekesy, “On the resonance curve and the decay period at various points on the cochlear partition,” Journal of the Acoustical Society of America, vol. 21, pp. 245–254, 1949. View at Google Scholar
  41. D. O. Kim, C. E. Molnar, and R. R. Pfeiffer, “A system of nonlinear differential equations modeling basilar membrane motion,” Journal of the Acoustical Society of America, vol. 54, no. 6, pp. 1517–1529, 1973. View at Google Scholar · View at Scopus
  42. R. V. Hingorani, P. P. Provenzano, R. S. Lakes, A. Escarcega, and R. Vanderby Jr., “Nonlinear viscoelasticity in rabbit medial collateral ligament,” Annals of Biomedical Engineering, vol. 32, no. 2, pp. 306–312, 2004. View at Publisher · View at Google Scholar · View at Scopus
  43. S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York, NY, USA, 2nd edition, 1959.
  44. D. Manoussaki, R. S. Chadwick, D. R. Ketten, J. Arruda, E. K. Dimitriadis, and J. T. O'Malley, “The influence of cochlear shape on low-frequency hearing,” Proceedings of the National Academy of Sciences of the United States of America, vol. 105, no. 16, pp. 6162–6166, 2008. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
  45. H. Cai, D. Manoussaki, and R. Chadwick, “Effects of coiling on the micromechanics of the mammalian cochlea,” Journal of the Royal Society Interface, vol. 2, no. 4, pp. 341–348, 2005. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus