A discrete model for streaming potentials in a single osteon

Petrov, N.<sup>1</sup>; Pollack, S.<sup>2</sup>; Blagoeva, R.<sup>1</sup>

Affiliations

¹Institute of Mechanics and Biomechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria

²Department of Bioengineering, University of Pennsylvania, Philadelphia, PA, U.S.A.

Abstract

A mathematical model for streaming potentials in an osteon is proposed, taking into account the microstresses in the vicinity of the Haversian Canal. With the help of the finite element method, a boundary problem for the fluid pressure amplitude in the osteon is investigated when the bone sample is subjected to harmonic loading. A numerical analysis of the intra-osteonal potential is performed. It is found that there exists an azimuthal asymmetry which increases with the enlargement of the Haversian Canal. The results of the numerical modeling of the intra-osteonal potential are in accordance with the available experimental data.

Links

DOI: 10.1016/0021-9290(89)90002-X

PubMed: 2808436

WoS: A1989CA09200002

History

Revised: 1988-08-22

Cited Works (8)

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Cited By (15)

Year	Entry
1994	Zeng Y, Cowin SC, Weinbaum S. A fiber matrix model for fluid flow and streaming potentials in the canaliculi of an osteon. Ann Biomed Eng. May–June 1994;22(3):280-292.
2009	Fritton SP, Weinbaum S. Fluid and solute transport in bone: flow-induced mechanotransduction. Annu Rev Fluid Mech. 2009;41:347-374.
1991	Dillaman RM, Roer RD, Gay DM. Fluid movement in bone: theoretical and empirical. J Biomech. 1991;24(suppl 1):163-177.
1997	Mak AFT, Huang DT, Zhang JD, Tong P. Deformation-induced hierarchical flows and drag forces in bone canaliculi and matrix microporosity. J Biomech. January 1997;30(1):11-18.
1999	Wang L, Fritton SP, Cowin SC, Weinbaum S. Fluid pressure relaxation depends upon osteonal microstructure: modeling an oscillatory bending experiment. J Biomech. July 1999;32(7):663-672.
2003	Knothe Tate ML. "Whither flows the fluid in bone?" an osteocyte's perspective. J Biomech. October 2003;36(10):1409-1424.
1991	Cowin SC, Moss-Salentijn L, Moss ML. Candidates for the mechanosensory system in bone. J Biomech Eng. May 1991;113(2):191-197.
1992	Otter MW, Palmieri VR, Wu DD, Seiz KG, MacGinitie LA, Cochran GVB. A comparative analysis of streaming potentials in vivo and in vitro. J Orthop Res. September 1992;10(5):710-719.
2002	Wang L. Investigating the Role of Interstitial Fluid Flow in Bone Adaptation and Metabolism [PhD thesis]. New York, NY: The City University of New York; 2002.
2005	Beno T. Investigating the Role of Microstructure in Bone Permeability [PhD thesis]. New York, NY: The City University of New York; 2005.
2008	Kwon RY. Mechanical Behavior and Early Molecular Signaling During Mechanotransduction of Fluid Flow in Bone Cells [PhD thesis]. Stanford University; August 2008.
2009	Litzenberger JB. The Role of Integrin Signaling in Bone Mechanotransduction [PhD thesis]. Stanford University; 2009.
2000	McCreadie BR. Structural and Material Changes in Osteoporosis: Their Impact on the Mechanical Environment of the Osteocyte [PhD thesis]. University of Michigan; 2000.
1996	Beck BR. The Relationship of Streaming Potential Magnitude to Strain and Periosteal Modeling [PhD thesis]. Eugene, OR: University of Oregon; December 1996.
1991	Kowalchuk RM. The Zeta Potential of Normal and Osteoporotic Bone [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 1991.