Numerical Simulation of Streaming Potentials Due to Deformation-Induced Hierarchical Flows in Cortical Bone

[+] Author and Article Information
A. F. T. Mak

Jockey Club Rehabilitation Engineering Centre, The Hong Kong Polytechnic University, Hunghom, Kowloon, Hong Kong

J. D. Zhang

Jockey Club Rehabilitation Engineering Centre, The Hong Kong Polytechnic University, Hunghom, Kowloon, Hong KongSchool of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing, China

J Biomech Eng 123(1), 66-70 (Aug 29, 2000) (5 pages) doi:10.1115/1.1336796 History: Received May 19, 1998; Revised August 29, 2000
Copyright © 2001 by ASME
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Grahic Jump Location
The finite element mesh for three neighboring osteons, where a=0.93×10−4 m, u0=0.46×10−5 m for the time varying displacement boundary condition. Discrete one-dimensional flow channels superimposed on the mesh are in bold.
Grahic Jump Location
Changes in the normalized drag force and channel fluid velocity in the canaliculi versus canalicular solidity, i.e., the amount of solid filling in the canaliculi. These results were normalized with the corresponding values for the case of no canalicular filling.
Grahic Jump Location
Fluid velocity profile in the three osteons (canalicular filling=0.5) (a) through microporosity matrix with a scaling factor of 1000; (b) in canaliculi with a scaling factor of 5. One could note that microporosity flow patterns were somewhat affected by the presence of the one-dimensional channels and became less radially directed.
Grahic Jump Location
(a) Normalized streaming potential distribution along the line of symmetry predicted by the current model. The magnitude of the potential at the Haversian canal was normalized to be one. The bold segment along the horizontal axis indicated the positions of the Haversian canals. (b) Experimental data reported in Pollack et al. 7 were schematically reproduced. The potential measured for the same osteon during the tensile and compressive phases of dynamic bending. Under tension, the cusp-shaped electrical field was upward. Under compression, the cusp turned downward. The location of the Haversian canal was indicated in bold along the horizontal axis.
Grahic Jump Location
The normalized isopotential contour lines around the three osteons. The magnitude of the potential at the Haversian canal boundary was normalized to be one.



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