The effects of geometric feedback in the development of osteoporosis

Martin, R. Bruce

Affiliations

¹Division of Orthopedic Surgery, West Virginia University Medical Center, Morgantown, W. Va. 26506, U.S.A.

Abstract

A mathematical analysis of the development of intracortical osteoporosis is presented, with attention focused primarily on the effects of histological geometry in porosis development. It is demonstrated that, given a uniform remodeling imbalance throughout the skeleton, osteoporosis would develop faster in Haversian bone than in cancellous bone. Conversely, a `cure’ would show greater results in the most porous regions of the skeleton. The analysis and its implications are discussed in some detail, and the importance of bone's dynamic porous nature is emphasized.

Links

DOI: 10.1016/0021-9290(72)90003-6

PubMed: 4667271

WoS: A1972N333300003

History

Received: 1972-02-14

Cited Works (1)

Year	Entry
1960	Jowsey J. Age changes in human bone. Clin Orthop. 1960;17:210-218.

Cited By (26)

Year	Entry
1996	van Rietbergen B. Mechanical Behavior and Adaptation of Trabecular Bone in Relation to Bone Morphology [PhD thesis]. Nijmegen, Netherlands: Catholic University of Nijmegen; 1996.
1991	Weinans HH. Mechanically Induced Bone Adaptations Around Orthopaedic Implants [PhD thesis]. Nijmegen, The Netherlands: Katholieke Universiteit te Nijmegen; 1991.
1981	Cowin SC. Continuum models of the adaptation of bone to stress. In: Cowin SC, ed. Mechanical Properties of Bone. The Joint ASME-ASCE Applied Mechnics, Fluids Engineering and Bioengineering Conference; June 22-24, 1981; Boulder, CO. New York, NY: American Society of Mechical Engineers; 1981:193-210.
2001	Hart RT. Bone modeling and remodeling: theories and computation. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:31-1–31-42.
1988	Parfitt AM. Bone remodeling: relationship to the amount and structure of bone, and the pathogenesis and prevention of fractures. In: Riggs BL, Melton LJ III, eds. Osteoporosis: Etiology, Diagnosis, and Management. New York, NY: Raven Press; 1988:45-93.
1990	Fung YC. Biomechanics: Motion, Flow, Stress, and Growth. New York, NY: Springer-Verlag; 1990.
1993	Fung YC. Biomechanics: Mechanical Properties of Living Tissues. 2nd ed. New York, NY: Springer-Verlag; 1993.
1998	Martin RB, Burr DB, Sharkey NA. Skeletal Tissue Mechanics. New York, NY: Springer-Verlag; 1998.
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.
1978	Carter DR, Spengler DM. Mechanical properties and composition of cortical bone. Clin Orthop Relat Res. September 1978;135:192-217.
1992	Huiskes R, Weinans H, Van Rietbergen B. The relationship between stress shielding and bone resorption around total hip stems and the effects of flexible materials. Clin Orthop Relat Res. January 1992;274:124-134.
1989	Fazzalari NL, Crisp DJ, Vernon-Roberts B. Mathematical modelling of trabecular bone structure: the evaluation of analytical and quantified surface to volume relationships in the femoral head and iliac crest. J Biomech. 1989;22(8-9):901-910.
1993	Van Rietbergen B, Huiskes R, Weinans H, Sumner DR, Turner TM, Galante JO. The mechanism of bone remodeling and resorption around press-fitted THA stems. J Biomech. April–May 1993;26(4-5):369-382.
1994	Prendergast P, Taylor D. Prediction of bone adaptation using damage accumulation. J Biomech. August 1994;27(8):1067-1076.
1993	Huiskes R, Hollister SJ. From structure to process, from organ to cell: recent developments of FE-analysis in orthopaedic biomechanics. J Biomech Eng. November 1993;115(4B):520-527.
1977	Carter DR, Hayes WC. The compressive behavior of bone as a two-phase porous structure. J Bone Joint Surg. 1977;59A(7):954-962.
1996	Han Z, Palnitkar S, Rao DS, Nelson D, Parfitt AM. Effect of ethnicity and age or menopause on the structure and geometry of iliac bone. J Bone Miner Res. December 1996;11(12):1967-1975.
1976	Cowin SC, Hegedus DH. Bone remodeling, I: theory of adaptive elasticity. J Elast. 1976;6(3):313-326.
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.
1993	Weinans H, Huiskes R, Van Rietbergen B, Sumner DR, Turner TM, Galante JO. Adaptive bone remodeling around bonded noncemented total hip arthroplasty: a comparison between animal experiments and computer simulation. J Orthop Res. July 1993;11(4):500-513.
1976	Carter DR, Hayes WC. Bone compressive strength: the influence of density and strain rate. Science. September 10, 1976;194(4270):1174-1176.
1983	Hart RT. Quantitative Response of Bone to Mechanical Stress [PhD thesis]. Cleveland, OH: Case Western Reserve University; January 1983.
2004	Mi LY. Analysis of Avian Bone Response to Mechanical Loading Using a Computational Connected Network [PhD thesis]. New York, NY: The City College of New York; 2004.
1990	Orr TE. The Role of Mechanical Stresses in Bone Remodeling [PhD thesis]. Stanford University; September 1990.
2007	Scannell PT. Mechanoregulation Algorithms Predicting Peri-Prosthetic Bone Adaptations [PhD thesis]. Trinity College Dublin; 2007.
2006	Rouhi G. Theoretical Aspects of Bone Remodeling and Resorption Processes [PhD thesis]. Calgary, AB: University of Calgary; March 2006.