Biomechanics and Modeling in Mechanobiology

, Volume 3, Issue 1, pp 33–47 | Cite as

Lumped parametric model of the human ear for sound transmission

  • Bin Feng
  • Rong Z. GanEmail author
Original Paper


A lumped parametric model of the human auditoria peripherals consisting of six masses suspended with six springs and ten dashpots was proposed. This model will provide the quantitative basis for the construction of a physical model of the human middle ear. The lumped model parameters were first identified using published anatomical data, and then determined through a parameter optimization process. The transfer function of the middle ear obtained from human temporal bone experiments with laser Doppler interferometers was used for creating the target function during the optimization process. It was found that, among 14 spring and dashpot parameters, there were five parameters which had pronounced effects on the dynamic behaviors of the model. The detailed discussion on the sensitivity of those parameters was provided with appropriate applications for sound transmission in the ear. We expect that the methods for characterizing the lumped model of the human ear and the model parameters will be useful for theoretical modeling of the ear function and construction of the ear physical model.


Tympanic Membrane Sound Transmission Displacement Magnitude Human Temporal Bone Cochlear Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work was supported by the Oklahoma Center for the Advancement of Science and Technology, Grant HR01-045.


  1. Aibara R, Welsh JT, Puria S, Goode RL (2001) Human middle ear sound transfer function and cochlear input impedance. Hear Res 152:100–109CrossRefGoogle Scholar
  2. von Békésy G (1960) Experiments in hearing. McGraw-Hill, New YorkGoogle Scholar
  3. Davis H (1978) Anatomy and physiology of the auditory system. In: Davis H, Silverman SR (eds) Hearing and deafness, 3rd edn. Holt, Rinehart & Winston, New YorkGoogle Scholar
  4. Fletcher R (1980) Practical methods of optimization. Vol 1, unconstrained optimization and vol 2, constrained optimization, vol. 2. Wiley, New YorkGoogle Scholar
  5. Gan RZ, Sun Q, Dyer RK, Chang KH, Dormer KJ (2002) Three-dimensional modeling of middle ear biomechanics and its applications. Otol Neurotol 23:271–280CrossRefGoogle Scholar
  6. Gan RZ, Wood MW, Dormer KJ (2004) Human middle ear transfer function measured by double laser interferometry system. Otol Neurotol 25(4):423–435CrossRefGoogle Scholar
  7. Goode RL, Killian M, Nakamura K, Nishihara S (1994) New knowledge about the function of the human middle ear: development of an improved analog model. Am J Otol 15:145–154CrossRefGoogle Scholar
  8. Håkansson B, Carlsson P (1989) Skull simulator for direct bone conduction hearing devices. Scand Audiol 18:91–98CrossRefGoogle Scholar
  9. Hudde H, Weistenhöfer C (2000) Circuit model of middle ear function. In: Rosowski JJ, Merchant SN (eds) The function and mechanics of normal, diseased and reconstructed middle ears. Kugler Publications, The Hague, The NetherlandsGoogle Scholar
  10. Kelly DJ, Prendergast PJ, Blayney AW (2003) The effect of prosthesis design on vibration of the reconstructed ossicular chain: a comparative finite element analysis of four prostheses. Otol Neurotol 24:11–19CrossRefGoogle Scholar
  11. Kirikae I (1960) The structure and function of the middle ear. Tokyo University Press, TokyoGoogle Scholar
  12. Kringlebotn M (1988) Network model for the human middle ear. Scan Audiol 17:75–85CrossRefGoogle Scholar
  13. Lutman ME, Martin AM (1979) Development of an electroacoustic analogue model of the middle ear and acoustic reflex. J Sound Vibration 64:133–157CrossRefGoogle Scholar
  14. Meister H, Walger M, Mickenhagen A, von Wedel H, Stennert E (1999) Standardized measurements of the sound transmission of middle ear implants using a mechanical middle ear model. Eur Arch Otorhinolaryngol 256:122–127CrossRefGoogle Scholar
  15. Møller AR (1961) Network model of the middle ear. J Acoust Soc Am 33:168–176CrossRefGoogle Scholar
  16. Rosowski JJ, Merchant SN (1995) Mechanical and acoustic analysis of middle ear reconstruction. Am J Otol 16:486–497Google Scholar
  17. Stinson MR (1989) Specification of the geometry of the human ear canal for the prediction of sound-pressure level distribution. J Acoust Soc Am 85:2492–2503CrossRefGoogle Scholar
  18. Taschke H, Weistenhöfer C, Hudde H (2000) A full-sized physical model of the human middle ear. Acoustica 86:103–116Google Scholar
  19. Wever EG, Lawrence M (1954) Physiological acoustic. Princeton University Press, Princeton, New JerseyGoogle Scholar
  20. Zwislocki JJ (1962) Analysis of the middle ear function. Part I: input impedance. J Acoust Soc Am 34:1514–1523CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.School of Aerospace and Mechanical Engineering and Center of BioengineeringUniversity of OklahomaNormanUSA

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