The false premise of Wolff's Law

Cowin, Stephen C.

Affiliations

Cited Works (9)

Year	Entry
1991	Bertram JEA, Swartz SM. The “law of bone transformation”: a case of crying Wolff? Biol Rev. August 1991;66(3):245-273.
1917	Koch JC. The laws of bone architecture. Am J Anat. March 1917;21(2):177-298.
1988	Harrigan TP, Jasty M, Mann RW, Harris WH. Limitations of the continuum assumption in cancellous bone. J Biomech. 1988;21(4):269-275.
1986	Cowin SC. Wolff’s law of trabecular architecture at remodeling equilibrium. J Biomech Eng. February 1986;108(1):83-88.
1995	Bay BK. Texture correlation: a method for the measurement of detailed strain distributions within trabecular bone. J Orthop Res. March 1995;13(2):258-267.
1892	Wolff J. Das Gesetz der Transformation der Knochen. Berlin: Hirschwald; 1892.
1986	Wolff J. The Law of Bone Remodelling. Maquet P, Furlong R, trans. New York, NY: Springer; 1986.
1987	Roesler H. The history of some fundamental concepts in bone biomechanics. J Biomech. 1987;20(11-12):1025-1034.
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.

Cited By (21)

Year	Entry
2002	Currey JD. Bones: Structure and Mechanics. Princeton, NJ: Princeton University Press; 2002.
2006	Ruff C, Holt B, Trinkaus E. Who's afraid of the big bad Wolff? “Wolff's law” and bone functional adaptation. Am J Phys Anthropol. April 2006;129(4):484-498.
2011	Barak MM, Lieberman DE, Hublin J-J. A Wolff in sheep's clothing: trabecular bone adaptation in response to changes in joint loading orientation. Bone. December 2011;49(6):1141-1151.
2019	Wood Z, Lynn L, Nguyen JT, Black MA, Patel M, Barak MM. Are we crying wolff? 3D printed replicas of trabecular bone structure demonstrate higher stiffness and strength during off-axis loading. Bone. October 2019;127:635-645.
2011	Besdo S. Determination of dynamically adapting anisotropic material properties of bone under cyclic loading. J Biomech. January 11, 2011;44(2):272-276.
2003	Van Rietbergen B, Huiskes R, Eckstein F, Rüegsegger P. Trabecular bone tissue strains in the healthy and osteoporotic human femur. J Bone Miner Res. October 2003;18(10):1781-1788.
2006	Pontzer H, Lieberman DE, Momin E, Devlin MJ, Polk JD, Hallgrímsson B, Cooper DML. Trabecular bone in the bird knee responds with high sensitivity to changes in load orientation. J Exp Biol. January 2006;209(1):57-65.
2007	Skedros JG, Baucomb SL. Mathematical analysis of trabecular “trajectories” in apparent trajectorial structures: the unfortunate historical emphasis on the human proximal femur. J Theo Biol. January 7, 2007;244(1):15-45.
2007	Fratzl P, Weinkamer R. Nature’s hierarchical materials. Prog Mater Sci. November 2007;52(8):1263-1334.
2006	Fritton JC. Mechanical Loading Induced Adaptation of the Mouse Tibia [PhD thesis]. Ithaca, NY: Cornell University; January 2006.
2017	Cresswell EN. Spatial Regulation of Bone Formation in Functional Adaptation of Cancellous Bone [PhD thesis]. Ithaca, NY: Cornell University; May 2017.
2008	Tommasini SM. Phenotypic Integration Contributes to Skeletal Functionality and Fragility [PhD thesis]. New York, NY: The City University of New York; 2008.
2007	Organ JM. The Functional Anatomy of Prehensile and Nonprehensile Tails of the Platyrrhini (primates) and Procyonidae (carnivora) [PhD thesis]. Johns Hopkins University; September 2007.
2004	Tovar A. Bone Remodeling as a Hybrid Cellular Automaton Optimization Process [PhD thesis]. University of Notre Dame; December 2004.
2011	Su A. The Functional Morphology of Subchondral and Trabecular Bone in the Hominoid Tibiotalar Joint [PhD thesis]. Stony Brook, NY: Stony Brook University; August 2011.
2006	Verhulp E. Analyses of Trabecular Bone Failure [PhD thesis]. Eindhoven, The Netherlands: Eindhoven University of Technology; 2006.
2006	Macdonald HM. Effectiveness of a School-Based Physical Activity Intervention for Increasing Bone Strength in Children: Action Schools! British Columbia [PhD thesis]. Vancouver, BC: University of British Columbia; July 2006.
2010	Beckstrom AB. Histologic and Geometric Data Challenge the Assumption of Habitual Superior-Inferior (tension-Compression) Bending Across the Chimpanzee Proximal Femur [Master's thesis]. University of Utah; August 2010.
2013	Eleazer CD. The Interaction of Mechanical Loading and Metabolic Stress on Human Cortical Bone: Testing Anthropological Assumptions Using Cross-Sectional Geometry and Histomorphology [PhD thesis]. Knoxville, University of Tennessee; August 2013.
2017	Gooding AF. Variation in Cortical Bone Distribution in the Aging Adult Appendicular Skeleton [PhD thesis]. Knoxville, University of Tennessee; December 2017.
2008	Burgers TA. Press-Fit Fixation and Viscoelastic Response of a Bone-Implant Interface in the Distal Femur [PhD thesis]. University of Wisconsin – Madison; 2008.