A singular perturbation model of fluid dynamics in the vestibular semicircular canal and ampulla

Journal of Fluid Mechanics

Volumn 307, Issue , 1996, Pages 333-372

  Damiano, E R ^a,b   Rabbitt, R D ^a  

^a Department of Electrical and Computer Engineering   (United States)

^b University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; CANALS; FLUID DYNAMICS; PERTURBATIONS; VESTIBULAR SEMICIRCULAR;

BOUNDARY CONDITIONS; BOUNDARY LAYERS; BRAIN; FLUID STRUCTURE INTERACTION; MATHEMATICAL MODELS; NEUROPHYSIOLOGY; PERTURBATION TECHNIQUES; PHYSIOLOGICAL MODELS; PRESSURE DROP;

AMPULLA; VESTIBULAR SEMICIRCULAR CANAL;

FLUID DYNAMICS;

EID: 0029755182     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096000146     Document Type: Article

References (51)

1. ASSAD, J. A. & COREY, D. P. 1992 An active motor model for adaptation by vertebrate hair cells. J. Neurosci. 12, 3291-3309.
2. BLANKS, R. H. I., ESTES, M. S. & MARKHAM, C. H. 1975 Physiologic characteristics of vestibular first-order canal neurons in the cat. II. J. Neurophysiol. 38, 1250-1268.
3. BOYLE, R., CAREY, J. P. & HIGHSTEIN, S. M. 1991 Morphological correlates of response dynamics and efferent stimulation in horizontal semicircular canal afferents of the toadfish, Opsanus tau. J. Neurophysiol. 66, 1504-1521.
4. BOYLE, R. & HIGHSTEIN, S. M. 1990 Resting discharge and response dynamics of horizontal semicircular canal afferents of the toadfish, Opsanus tau. J. Neurosci. 10, 1557-1569.
5. COREY, D. P. & HUDSPETH, A. J. 1979 Ionic basis of the receptor potential in a vertebrate hair cell. Nature 281, 675-677.
6. COREY, D. P. & HUDSPETH, A. J. 1983 Kinetics of the receptor current in bullfrog saccular hair cells. J. Neurosci. 3, 962-976.
7. CRUM-BROWN, A. 1874 On the sense of rotation and the anatomy and physiology of the semicircular canals of the inner ear. J. Anal. Physiol. 8, 327-331.
8. CURTHOYS, I. S. & OMAN, C. M. 1987 Dimensions of the horizontal semicircular duct, ampulla and utricle in the human. Acta Otolaryngol. (Stockh.) 103, 254-261.
9. DAMIANO, E. R. 1993 Continuum models of rotational and caloric stimulation of the vestibular semicircular canal. PhD thesis, Rensselaer Polytechnic Institute, Troy, NY.
10. EATOCK, R. A., COREY, D. P. & HUDSPETH, A. J. 1987 Adaptation of mechano-electrical transduction in hair cells of the Bullfrog's sacculus. J. Neurosci. 7, 2821-2836.
11. EVANS, E. & DEMBO, M. 1990 Physical model for phagocyte motility: Local growth of a contractile network from a passive body. In Biomechanics of Active Movement and Deformation of Cells (ed. N. Akkas), NATO ASI Series, vol. H42, pp. 185-214. Springer.
12. EWALD, J. R. 1887 Zur physiologie der bogengänge. Pflügers Arch. Ges. Physiol. 41, 463-483.
13. FERNÁNDEZ, C. & GOLDBERG, J. M. 1971 Physiology of peripheral neurons innervating semicircular canals of the squirrel monkey. II Response to sinusoidal stimulation and dynamics of peripheral vestibular system. J. Neurophysiol. 34, 661-675.
14. FETTIPLACE, R., CRAWFORD, A. C. & EVANS, M. G. 1992 The hair cell's mechanoelectrical transducer channel. Ann. NY Acad. Sci. 656, 1-11.
15. GOLDBERG, J. M. & FERNÁNDEZ, C. 1971 Physiology of peripheral neurons innervating semicircular canals of the squirrel monkey. III Variations among units in their discharge properties. J. Neurophysiol. 34, 676-684.
16. GOLDBERG, J. M., LYSAKOWSKI, A. & FERNÁNDEZ, C. 1992 Structure and function of vestibular nerve fibers in the chinchilla and squirrel monkey. Ann. NY Acad. Sci. 656, 92-110.
17. GROEN, J. J. 1949 Medische Physica; de Evenwichtszintuigen, pp. 510-561. Amsterdam: NH Uitgeversmij.
18. GROEN, J. J. 1957 The mechanics of the semicircular canals. J. Physiol. Lond. 110, 1-17.
19. GUYTON, A. C. 1986 Textbook of Medical Physiology. W. B. Saunders Company, Philadelphia, PA.
20. HARTMANN, R. & KLINKE, R. 1980 Discharge properties of afferent fibers of the goldfish semicircular canal with high frequency stimulation. Pflügers Arch. 388, 111-121.
21. HIGHSTEIN, S. M., RABBITT, R. D. & BOYLE, R. 1995 Determinants of semicircular canal response dynamics in the toadfish, Opsanus tau. J. Neurophysiol. (in press).
22. HILLMAN, D. E. 1974 Cupular structure and its receptor relationship. Brain Behav. Evol. 10, 52-68.
23. HONRUBIA., V., HOFFMAN, L. F., SITKO, S. & SCHWARTZ, I. R. 1989 Anatomic and physiologic correlates in bullfrog vestibular nerve. J. Neurophysiol. 61, 688-701.
24. HUDSPETH, A. J. 1983 Mechanoelectrical transduction by hair cells in the acousticolateralis sensory system. Ann. Rev. Neurosci. 6, 187-215.
25. HUDSPETH, A. J. & JACOBS, R. 1979 Stereocilia mediate transduction in vertebrate hair cells. Proc. Natl Acad. Sci. USA 76, 1506-1509.
26. IGARASHI, M. 1966 Dimensional study of the vestibular end organ apparatus. Second Symp. on the Role of Vestibular Organs in Space Exploration. NASA SP-115, pp. 47-54.
27. KEVORKIAN, J. & COLE, J. D. 1981 Perturbation Methods in Applied Mathematics. Springer.
28. LANDOLT, J. P. & CORREIA, M. J. 1980 Neurodynamic response analysis of anterior semicircular canal afferents in the pigeon. J. Neurophysiol. 43, 1746-1770.
29. LUTZ, R. J., LITT, M. & CHAKRIN, L. W. 1973 Physical-chemical factors in mucus rheology. In J. Rheology of Biological Systems (ed. H. L. Gabelnick & M. Litt), pp. 119-157. Charles C. Thomas, Springfield, IL.
30. MACH, E. 1875 Grundlinien der Lehre von den Bewegungsempfindungen. Leipzig: Wilhelm Engelman.
31. MCLAREN, J. W. & HILLMAN, D. E. 1979 Displacement of the semicircular cupula during sinusoidal rotation. Neuroscience 4, 2001-2008.
32. OMAN, C. M., MARCUS, E. N. & CURTHOYS, I. S. 1987 The influence of semicircular canal morphology on endolymph flow dynamics. Acta. Otolaryngol. (Stockh.) 103, 1-13.
33. PEDLEY, T. J., SCHROTER, R. C. & SUDLOW, M. F. 1971 Flow and pressure drop in systems of repeatedly branching tubes. J. Fluid Mech. 46, 365-383.
34. RABBITT, R. D., BOYLE, R. & HIGHSTEIN, S. M. 1994 Sensory transduction of head velocity and acceleration in the toadfish horizontal semicircular canal. J. Neurophysiol. 72, 1041-1048.
35. RABBITT, R. D., BOYLE, R. & HIGHSTEIN, S. M. 1995a Mechanical indentation of the vestibular labyrinth and the relationship to head rotation in the toadfish, Opsanus tau. J. Neurophysiol. 73, 2237-2260.
36. RABBITT, R. D., BOYLE, R. & HIGHSTEIN, S. M. 1995b Simultaneous measurement of horizontal semicircular canal endolymph pressure and neural response in the toadfish, Opsanus tau. Assoc. Res. Otolaryngol. Feb. 7, St. Petersburg, FL.
37. RABBITT, R. D. & DAMIANO, E. R. 1992 A hydroelastic model of macromechanics in the endolymphatic vestibular canal. J. Fluid Mech. 238, 337-369.
38. REDDY, J. N. 1984 Energy and Variational Methods in Applied Mechanics. John Wiley & Sons.
39. RÜSCH, A. & THURM, U. 1990 Spontaneous electrically induced movements of ampullary kinocilia and stereovilli. Hearing Res. 48, 247-264.
40. SCHMID-SCHÖNBEIN, G. W., SUNG, K. L. P., TÖZEREN, H., CHIEN, S. & SKALAK, R. 1981 Passive mechanical properties of human leukocytes. Biophys. J. 36, 243-256.
41. SEGALÖNBEIN, B. N. & OUTERBRIDGE, J. S. 1982 Vestibular (semicircular canal) primary neurons in the bullfrog: nonlinearity of individual and population response to rotation. J. Neurophysiol. 47, 545-562.
42. STEER, R. W., LI, Y. T., YOUNG, L. R. & MEIRY, J. L. 1967 Physical properties of the labyrinthine fluids and quantification of the phenomenon of caloric stimulation. Third Symp. on the Role of Vestibular Organs in Space Exploration. NASA SP-152, pp. 409-420.
43. STEINHAUSEN, W. 1933 Über die beobachtungen der cupula in den bognegängsampullen des labyrinthes des libenden hecths. Pflügers Arch. Ges. Physiol. 232, 500-512.
44. SUTERA, S. P., MUELLER, E. R. & ZAHALAK G. I. 1990 Extensional recovery of an intact erythrocyte from a tank-treading motion. ASME J. Biomech, Engng 112, 250-256.
45. VAN BUSKIRK, W. C. 1987 Vestibular mechanics. In Handbook of Bioengineering (ed. R. Skalak & S. Chien), pp. 31.1-31.17. McGraw Hill.
46. VAN BOSKIRK, W. C. & GRANT, J. W. 1973 Biomechanics of the semicircular canals. Biomechanics Symp. ASME. NY, pp. 53-54.
47. VAN BUSKIRK, W. C., WATTS, R. G. & LIU, Y. K. 1976 The fluid mechanics of the semicircular canals. J. Fluid Mech. 78, 87-98.
48. VAN DYKE, M. 1975 Perturbation Methods in Fluid Mechanics. The Parabolic Press.
49. WERSÄLL, J. & BAGGER-SJÖBÄCK, G. M. 1974 Morphology of the vestibular sense organ. In Handbook of Sensory Physiology V6(1), Vestibular System Part I: Basic Mechanisms (ed. H. H. Kornhuber), pp. 123-170. Springer.
50. WOMERSLEY, J. R. 1955 Method for the calculation of velocity, rate of flow, and viscous drag in arteries when the pressure gradient is known. J. Physiol. 127, 553-563.
51. WOMERSLEY, J. R. 1958 Oscillatory flow in arteries I. The constrained elastic tube as a model of arterial flow and pulse transmission. Phys. Med. Biol. 2, 177-187.