A Finite Element Method for Mechanical Response of Hair Cell Ciliary Bundles

[+] Author and Article Information
John R. Cotton, J. Wallace Grant

Biomechanics Program, Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24060

J Biomech Eng 122(1), 44-50 (Jul 28, 1999) (7 pages) doi:10.1115/1.429626 History: Received August 20, 1998; Revised July 28, 1999
Copyright © 2000 by ASME
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(a) Nodal degrees of freedom showing the deflections and rotations, and (b) loads for each stereocilia element
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(a) Hair cell showing the bundle extending out of the apical surface (AS). The dark mass is the cuticular plate (CP). (b) A close up of the bundle shows drop-off in cilia height and three-dimensional arrangement. (c) Single stereocilia usually taper at their base. (d) Side view of two neighboring cilia depicts geometry of tip link (dark) and side links (light). (e) Top view of bundles shows in the distribution of tip links towards the tallest neighbor. (f ) Side links extend in the direction of every neighbor.
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Section of stereocilia before (dark) and after (light) deformation showing transverse deflection, w, and rotation, φ
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Link representation as a rod with end points i and j, showing global (x,y,z) and element local (x*,y*,z*) coordinates. Such a member resists deformation and carries forces only along its long axis, here x*.
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Top view of two stereocilia connected by links: (a) undeformed configuration; (b) deformed geometry without the consideration of link extension. Such a treatment would result in underestimation of link displacement. (c) Method used to compute the geometry with link extension.
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Flow chart of the bundle modeler program algorithm
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Deformed geometry of structure showing: (a) skew, (b) side, and (c) top view of representative bundle
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Plot of stiffness versus tip deflection



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