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The fluid mechanics of the semicircular canals

Published online by Cambridge University Press:  11 April 2006

W. C. Van Buskirk ,
R. G. Watts  and
Y. K. Liu
W. C. Van Buskirk
Affiliation:
Department of Mechanical Engineering, Tulane University, New Orleans, Louisiana 70118
R. G. Watts
Affiliation:
Department of Mechanical Engineering, Tulane University, New Orleans, Louisiana 70118
Y. K. Liu
Affiliation:
Department of Mechanical Engineering, Tulane University, New Orleans, Louisiana 70118
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Abstract

A mathematical model for the unsteady fluid-dynamic response of the semicircular canals is developed. The endolymph is assumed to be an incompressible Newtonian fluid and the presence and effects of both the utricle and the cupula are specifically accounted for. A first approximate solution is obtained using a singular perturbation method. It is shown that the canal can be modelled as a heavily damped, second-order system which behaves as an angular-velocity meter. A comparison of the model response with experimental results is made; fairly good agreement is found.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 1 , 5 November 1976 , pp. 87 - 98
Copyright
© 1976 Cambridge University Press

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References

Breuer, J. 1874 Über die funktion der Bogengange des Ohrlabrinthes. Wien. Med. Jahrb. 4, 72.Google Scholar
Crum Brown, A. 1874 On the sense of rotation and the anatomy and physiology of the semicircular canals of the inner ear. J. Anat. Physiol. 8, 327.Google Scholar
Egmond, A. A. J. van, Groen, J. J. & Jongkees, L. B. W. 1949 The mechanics of the semicircular canal. J. Physiol. 110, 1.Google Scholar
Gaede, W. 1922 Über die Bewegunge der Flussigkeit in einem rotierenden Hohlring. Arch. Ohr-, Nas-, u. Kelhkheilk. 110, 6.Google Scholar
Igarashi, M. 1966 Dimensional study of the vestibular end of organ apparatus. In 2nd Symp. on Role of Vestibular Organs in Space Exploration. Washington, D.C.: U.S. Government Printing Office, N.A.S.A. SP-115.
Johnson, W. H. & Jongkees, L. B. W. 1974 Motion sickness. In Handbook of Sensory Physiology, vol. vi/2. Springer.
Mach, E. 1875 Grundlinien der Lehre von den Bewegungsempfindungen. Leipzig: Wilhelm Engelmann.
Malcolm, R. 1968 A quantitative study of vestibular adaptation in humans. In 4th Symp. on Role of Vestibular Organs in Space Exploration. Washington, D.C.: U.S. Government Printing Office, N.A.S.A. SP-187.
Mayne, R. 1968 The constants of the semicircular canal differential equation. Rep. Goodyear Aerospace Corp., Litchfield Park, Arizona, no. GERA-1083.Google Scholar
Niven, J. I. & Hixson, W. C. 1961 Frequency response of the human semicircular canal. I. Steady-state ocular nystagmus response to high-level sinusoidal angular rotations. Rep. U.S. Naval School Aviation Med., Pensacola, Florida, no. NSAM-58 (N.A.S.A. Order no. R-1).Google Scholar
Schmaltz, G. 1931 The physical phenomena occurring in the semicircular canals during rotary and thermic stimulation. Proc. Roy. Soc. Med. 25, 359.Google Scholar
Steer, R. W. 1967 The influence of angular and linear acceleration and thermal stimulation of the human semicircular canal. Sc.D. thesis, Massachusetts Institute of Technology.
Steinhausen, W. 1933 Über die Beobachtung der Cupula in den Bogengangsampullen des Labyrinths des lebenden Hechts. Pflügers Arch. Ges. Physiol. 232, 500.Google Scholar
Van Buskirk, W. C. 1976 The effects of the utricle on flow in the semicircular canals. Ann. Biomed. Engng (in Press).Google Scholar
Van Buskirk, W. C. & Grant, J. W. 1973 Biomechanics of the semicircular canals. In 1973 Biomech. Symp. New York: A.S.M.E.