Quantitative Evaluation of Limit-Cycle Oscillator Models of Spontaneous Otoacoustic Emissions

  • Carrick L. Talmadge
  • Glenis R. Long
  • William J. Murphy
  • Arnold Tubis
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 87)

Abstract

Single limit-cycle-oscillator models of spontaneous otoacoustic emissions (SOAE’s) are based on the assumption that the pattern of interactions between spontaneous emissions and external tones in the ear canal may be partially described by the gross compaction of a full cochlear model to a single nonlinear differential equation such as that of a free (or driven) Van der Pol oscillator. Such an equation incorporates, in a highly idealized way, the type of nonlinear-active damping which, if assumed to be present over certain portions of the cochlear partition, would produce stabilized cochlear self-oscillations and lead to measurable spontaneous emissions in the ear-canal. These models have been used successfully by our group and by Wit and collaborators to account for a number of features of the emission data including: a) statistical properties of emissions (e.g. Bialek and Wit, 1984; Wit, 1986; van Dijk, 1990); b) suppression of emissions (Long and Tubis, 1990) and synchronization (phase locking) of emissions by external tones (e.g., van Dijk, 1990; Long, et al., 1990); and c) reduction of the level of emissions by aspirin consumption (e.g., Long and Tubis, 1988a,b).

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References

  1. Bialek, W.S., and Wit, H.P. (1984) Quantum limits to oscillator stability: Theory and experiments on acoustic emissions from the human ear. Phys. Lett. 104A, 197.3–1978.Google Scholar
  2. Dallmayr, C. (1985) Spontane oto–akustische Emissionen: Statistik und ReaktlOn auf akustische Stortone. Acustica 59, 67–75.Google Scholar
  3. Dallmayr, C. (1987) Stationary and dynamical properties of simultaneous evoked otoacoustic emissions (SEOAE). Acustica 63, 243–255.Google Scholar
  4. Hanggi, P. and lliseborough, P. (1983) Dynamics of nonlinear dissipative oscillators. Am. J. Physics 51, 347–351.Google Scholar
  5. Long, G. R. and Tubis, A. (1988a) Investigations into the nature of the association between threshold microstructure and otoacoustic emissions. Hear. Res. 36, 125–138.Google Scholar
  6. Long, G. R. and Tubis, A. (1988b) Modification of spontaneous and evoked otoacoustic emissions and associated psychoacoustic microstructure by aspirin consumption. J. Acoust. Soc. Am. 84, 1343–1353.Google Scholar
  7. Long, G. R., Tubis, A., and Jones, K. L. (1990) Changes in synchronization and supp~es~ion tuning curves of spontaneous oto–acoustic emissions when the levels of the emlSSlOns are modified by aspirin consumption. Submitted to J. Acoust. Soc. Am. Nayfeh, A. H. Perturbation Methods. John Wiley, New York (1973)Google Scholar
  8. Nayfeh, A. H. and D. T. Mook, D. T. Nonlinear Oscillations. John Wiley, New York, (1979).Google Scholar
  9. Schloth, E. and Zwicker, E. (1983) Mechanical and acoustical influences on spontaneous oto–acoustic emissions. Hear. Res. 11, 285–293.Google Scholar
  10. Van Dijk, P. (1990) Characteristics and Mechanisms of Spontaneous Otoacoustic Emissions. Thesis, University of Groningen, The Netherlands.Google Scholar
  11. Wit, H.P. (1986) Statistical properties of a strong spontaneous otoacoustic emission. In: Peripheral Auditory Mechanics (Eds: by J.B. Allen, J.L. Hall, A.E. Hubbard, S.T. Neely, and A. Tubis) Springer Verlag, Berlin, pp. 221–228.Google Scholar
  12. Zurek, P. M. and Clark, W. W. (1981) Narrow–band acoustic signals emitted by chinchilla ears after noise exposure. J. Acoust. Soc. Am. 70, 446–450.Google Scholar
  13. Zwicker, E. and Schloth, E. (1984) Interrelation of different oto–acoustics emissions. J. Acoust. Soc. Am. 75, 1184–1154.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Carrick L. Talmadge
    • 1
  • Glenis R. Long
    • 2
  • William J. Murphy
    • 1
  • Arnold Tubis
    • 1
  1. 1.Department of PhysicsPurdue UniversityWest LafayetteUSA
  2. 2.Department of Audiology and Speech SciencesPurdue UniversityWest LafayetteUSA

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