Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

Radial Structure of Traveling Waves in the Inner Ear

Hongxue Cai and Richard Chadwick
SIAM Journal on Applied Mathematics
Vol. 63, No. 4 (Mar. - May, 2003), pp. 1105-1120
Stable URL: http://www.jstor.org/stable/4095953
Page Count: 16
  • Subscribe ($19.50)
  • Cite this Item
Radial Structure of Traveling Waves in the Inner Ear
Preview not available

Abstract

We develop a hybrid approach for modeling the cochlea, in which we let the WKB method determine the axial propagation of waves and restrict the numerics to transverse planes, where we solve a fluid-solid interaction eigenvalue problem. The cochlear fluid is treated as viscous and incompressible. Viscous effects are confined to oscillatory boundary layers and the thin gap between the reticular lamina (RL) and the lower surface of the tectorial membrane (TM). Our model includes axial fluid coupling and also axial elastic coupling via a basilar membrane (BM) modeled as an orthotropic clamped plate. Three-dimensional (3D) flow is solved in two-dimensional (2D) domains, with interactions with 2D elastic domains representing the organ of Corti (OC) and the TM. The OC contains inhomogeneities representing discrete cellular structures. We have computed the interaction between the BM, TM, OC, and the cochlear fluid to find the complex-valued wavenumber-frequency relation and vibrational modes. The details of the cochlear fluid flow and pressure fields are calculated, along with displacements of the elastic structures. Simulation of passive radial modes in the apical region of a guinea pig cochlea for frequencies less than 1 kHz indicates monophasic vibration of the BM and a synchronous rotation of three rows of outer hair cell stereocilia induced by a shearing motion between the RL and TM.

Page Thumbnails

  • Thumbnail: Page 
1105
    1105
  • Thumbnail: Page 
1106
    1106
  • Thumbnail: Page 
1107
    1107
  • Thumbnail: Page 
1108
    1108
  • Thumbnail: Page 
1109
    1109
  • Thumbnail: Page 
1110
    1110
  • Thumbnail: Page 
1111
    1111
  • Thumbnail: Page 
1112
    1112
  • Thumbnail: Page 
1113
    1113
  • Thumbnail: Page 
1114
    1114
  • Thumbnail: Page 
1115
    1115
  • Thumbnail: Page 
1116
    1116
  • Thumbnail: Page 
1117
    1117
  • Thumbnail: Page 
1118
    1118
  • Thumbnail: Page 
1119
    1119
  • Thumbnail: Page 
1120
    1120