Continuum models of the adaptation of bone to stress

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Continuum models of the adaptation of bone to stress

Mechanical Properties of Bone

Affiliations

¹Department of Biomedical Engineering, Tulane University, New Orleans, Louisiana
Abstract

Some observations and experiments concerning the adaptation of living bone tissue to its load environment are summarized. Two compatible continuum models for bone adaptation processes are described. The first model, the theory of surface remodeling, is intended to model the processes by which the applied loads induce shape changes in the whole bone. The second model, the theory of internal remodeling, is intended to model the processes by which the applied loads induce changes in the bulk density of the bone tissue these theories are presented.

Cited Works (12)

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Cited By (11)

Year	Entry
1984	Hart RT, Davy DT, Heiple KG. Mathematical modeling and numerical solutions for functionally dependent bone remodeling. Calcif Tiss Int. March 1984;36(suppl 1):S104-S109.
1985	Cowin SC, Hart RT, Balser JR, Kohn DH. Functional adaptation in long bones: establishing in vivo values for surface remodeling rate coefficients. J Biomech. 1985;18(9):665-684.
1984	Hart RT, Davy DT, Heiple KG. A computational method for stress analysis of adaptive elastic materials with a view toward applications in strain-induced bone remodeling. J Biomech Eng. November 1984;106(4):342-350.
1990	Beaupré GS, Orr TE, Carter DR. An approach for time‐dependent bone modeling and remodeling: theoretical development. J Orthop Res. September 1990;8(5):651-661.
1983	Hart RT. Quantitative Response of Bone to Mechanical Stress [PhD thesis]. Cleveland, OH: Case Western Reserve University; January 1983.
1994	Luo G. A Computational Study of the Long Term Stability of Total Hip Implants [PhD thesis]. New York, NY: The City University of New York; 1994.
1990	Orr TE. The Role of Mechanical Stresses in Bone Remodeling [PhD thesis]. Stanford University; September 1990.
1994	Fischer KJ. Correspondence Between Bone Density Distributions and Mechanical Loading [PhD thesis]. Stanford University; December 1994.
1994	Jacobs CR. Numerical Simulation of Bone Adaptation to Mechanical Loading [PhD thesis]. Stanford University; June 1994.
1994	Oden ZM. Computational Prediction of Functional Adaptation in Canine Radii [PhD thesis]. Tulane University; 1994.
1998	Arslanoğlu R. Mathematical Modeling and Experimental Aspects of Cellular Mechanotransduction [PhD thesis]. University of Texas at Austin; December 1998.