Bone modeling and remodeling:​ theories and computation

Hart, Richard T.

Year	Entry
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.
1986	Cowin SC, Van Buskirk WC. Thermodynamic restrictions on the elastic constants of bone. J Biomech. 1986;19(1):85-87.
1972	Martin RB. The effects of geometric feedback in the development of osteoporosis. J Biomech. September 1972;5(5):447-455.
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.
1985	Harrigan TP. Bone Compliance and Its Effects in Human Hip Joint Lubrication Cambridge, MA: Massachusetts Institute of Technology; 1985.
1892	Wolff J. Das Gesetz der Transformation der Knochen. Berlin: Hirschwald; 1892.
1983	Hart RT. Quantitative Response of Bone to Mechanical Stress [PhD thesis]. Cleveland, OH: Case Western Reserve University; January 1983.
1995	Luo G, Cowin SC, Sadegh AM, Arramon YP. Implementation of strain rate as a bone remodeling stimulus. J Biomech Eng. August 1995;117(3):329-338.
1989	Burr DB, Schaffler MB, Yang KH, Lukoschek M, Sivaneri N, Blaha JD, Radin EL. Skeletal change in response to altered strain environments: is woven bone a response to elevated strain? Bone. 1989;10(3):223-233.
1986	Cowin SC. Wolff’s law of trabecular architecture at remodeling equilibrium. J Biomech Eng. February 1986;108(1):83-88.
1986	Fyhrie DP, Carter DR. A unifying principle relating stress to trabecular bone morphology. J Orthop Res. 1986;4(3):304-317.
1985	Burr DB, Martin RB, Schaffler MB, Radin EL. Bone remodeling in response to in vivo fatigue microdamage. J Biomech. 1985;18(3):189-200.
1995	Cowin SC, Weinbaum S, Zeng Y. A case for bone canaliculi as the anatomical site of strain generated potentials. J Biomech. November 1995;28(11):1281-1297.
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.
1994	Oden ZM. Computational Prediction of Functional Adaptation in Canine Radii [PhD thesis]. Tulane University; 1994.
1983	Frost HM. A determinant of bone architecture: the minimum effective strain. Clin Orthop Relat Res. August 1983;175:286-292.
1981	Roesler H. Some historical remarks on the theory of cancellous bone structure (Wolff's Law). 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; 1981:27-42.
1986	Frost HM. Intermediary Organization of the Skeleton. Vols. 1-2. Boca Raton, FL: CRC Press; 1986.
1976	Cowin SC, Hegedus DH. Bone remodeling, I: theory of adaptive elasticity. J Elast. 1976;6(3):313-326.
1984	Harrigan TP, Mann RW. Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor. J Mater Sci. March 1984;19(3):761-767.
1982	Lanyon LE, Goodship AE, Pye CJ, MacFie JH. Mechanically adaptive bone remodelling. J Biomech. 1982;15(3):141-154.
1981	Cowin SC, Firoozbakhsh K. Bone remodeling of diaphysial surfaces under constant load: theoretical predictions. J Biomech. 1981;14(7):471-484.
1988	Harrigan TP, Jasty M, Mann RW, Harris WH. Limitations of the continuum assumption in cancellous bone. J Biomech. 1988;21(4):269-275.
1978	Cowin SC, Van Buskirk WC. Internal bone remodeling induced by a medullary pin. J Biomech. 1978;11(5):269-275.
1979	Cowin SC, Van Buskirk WC. Surface bone remodeling induced by a medullary pin. J Biomech. 1979;12(4):269-276.
1989	Carter DR, Orr TE, Fyhrie DP. Relationships between loading history and femoral cancellous bone architecture. J Biomech. 1989;22(3):231-244.
1992	Weinans H, Huiskes R, Grootenboer HJ. The behavior of adaptive bone-remodeling simulation models. J Biomech. December 1992;25(12):1425-1441.
1984	Rubin CT, Lanyon LE. Regulation of bone formation by applied dynamic loads. J Bone Joint Surg. March 1984;66A(3):397-402.
1986	Wolff J. The Law of Bone Remodelling. Maquet P, Furlong R, trans. New York, NY: Springer; 1986.
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.
1987	Carter DR, Fyhrie DP, Whalen RT. Trabecular bone density and loading history: regulation of connective tissue biology by mechanical energy. J Biomech. 1987;20(8):785-794.
1984	Carter DR. Mechanical loading histories and cortical bone remodeling. Calcif Tiss Int. March 1984;36(suppl 1):S19-S24.
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.
1998	Qin Y, Rubin CT, McLeod KJ. Nonlinear dependence of loading intensity and cycle number in the maintenance of bone mass and morphology. J Orthop Res. July 1998;16(4):482-489.
1987	Carter DR. Mechanical loading history and skeletal biology. J Biomech. 1987;20(11-12):1095-1109.
1990	Beaupré GS, Orr TE, Carter DR. An approach for time‐dependent bone modeling and remodeling—application: a preliminary remodeling simulation. J Orthop Res. September 1990;8(5):662-670.
1995	Mullender MG, Huiskes R. Proposal for the regulatory mechanism of Wolff's law. J Orthop Res. July 1995;13(4):503-512.
1987	Cowin SC. Bone remodeling of diaphyseal surfaces by torsional loads: theoretical predictions. J Biomech. 1987;20(11-12):1111-1120.
1990	Frost HM. Skeletal structural adaptations to mechanical usage (SATMU), I: redefining Wolff's law: the bone modeling problem. Anat Rec. 1990;226(4):403-413.
1990	Frost HM. Skeletal structural adaptations to mechanical usage (SATMU), II: redefining Wolff's Law: the remodeling problem. Anat Rec. April 1990;226(4):414-422.
1984	Cowin SC. Mechanical modeling of the stress adaptation process in bone. Calcif Tiss Int. March 1984;36(suppl 1):S98-S103.
1983	Huiskes R, Chao EYS. A survey of finite element analysis in orthopedic biomechanics: the first decade. J Biomech. 1983;16(6):385-409.
1991	Cowin SC, Moss-Salentijn L, Moss ML. Candidates for the mechanosensory system in bone. J Biomech Eng. May 1991;113(2):191-197.
1994	Fritton SP. Computational Simulation of Trabecular Bone Adaptation [PhD thesis]. Tulane University; January 1994.
1994	Prendergast P, Taylor D. Prediction of bone adaptation using damage accumulation. J Biomech. August 1994;27(8):1067-1076.
1994	Mullender MG, Huiskes R, Weinans H. A physiological approach to the simulation of bone remodeling as a self-organizational control process. J Biomech. November 1994;27(11):1389-1394.
1987	Huiskes R, Weinans H, Grootenboer HJ, Dalstra M, Fudala B, Slooff TJ. Adaptive bone-remodeling theory applied to prosthetic-design analysis. J Biomech. 1987;20(11-12):1135-1150.
1998	Turner CH. Three rules for bone adaptation to mechanical stimuli. Bone. November 1998;23(5):399-407.

Year	Entry
2007	Cowin SC, Doty SB. Bone tissue adaptation. In: Tissue Mechanics. Boca Raton, FL: Springer; 2007:385-424.
2002	van der Meulen MC, Huiskes R. Why mechanobiology? a survey article. J Biomech. April 2002;35(4):401-414.
2006	McNamara LM, Van der Linden JC, Weinans H, Prendergast PJ. Stress-concentrating effect of resorption lacunae in trabecular bone. J Biomech. 2006;39(4):734-741.
2011	Hartmann MA, Dunlop JWC, Bréchet YJM, Fratzl P, Weinkamer R. Trabecular bone remodelling simulated by a stochastic exchange of discrete bone packets from the surface. J Mech Behav Biomed Mater. August 2011;4(6):879-887.
2007	Fratzl P, Weinkamer R. Nature’s hierarchical materials. Prog Mater Sci. November 2007;52(8):1263-1334.
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.
2014	Ferro Pereira A. Cortical Bone Adaptation: A Finite-Element Study of the Mouse Tibia [PhD thesis]. Imperial College London; January 2014.
2007	Geris L. Mathematical Modelling of Bone Regeneration During Fracture Healing and Implant Osseointegration [PhD thesis]. Katholieke Universiteit Leuven; May 2007.
2004	Tovar A. Bone Remodeling as a Hybrid Cellular Automaton Optimization Process [PhD thesis]. University of Notre Dame; December 2004.
2004	McNamara LM. Biomechanical Origins of Osteoporosis [PhD thesis]. Trinity College Dublin; March 2004.
2004	Roberts MD. Adaptation of Bone to Mechanical and Nonmechanical Stimuli: An Integrated Experimental and Computational Study [PhD thesis]. Tulane University; 2004.
2006	Rouhi G. Theoretical Aspects of Bone Remodeling and Resorption Processes [PhD thesis]. Calgary, AB: University of Calgary; March 2006.
2003	Bayraktar HH. Multiaxial Strength and Micromechanics of Human Bone [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2003.
2012	Evdokimenko E. Investigation Into Mechanical Properties of Bone and Its Main Constituents [PhD thesis]. San Diego (UCSD), University of California; 2012.
2019	Spingarn C. Contribution à la biomécanique de la régénération osseuse: Modélisation, simulation et applications [PhD thesis]. Strasbourg, France: Université de Strasbourg; June 11, 2019.