A fully anisotropic hierarchical hybrid cellular automaton algorithm to simulate bone remodeling

Mechanics Research Communications

Volumn 35, Issue 1-2, 2008, Pages 32-42

  Penninger, Charles L ^a   Patel, Neal M ^a   Niebur, Glen L ^a   Tovar, Andrés ^b   Renaud, John E ^a  

^a University of Notre Dame   (United States)

^b UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

Author keywords

Anisotropy; Bone remodeling; Hybrid cellular automata; Modeling; Simulation

Indexed keywords

ANISOTROPY; BONE; CELLULAR AUTOMATA; HIERARCHICAL SYSTEMS; MATHEMATICAL MODELS;

BONE REMODELING; HYBRID CELLULAR AUTOMATA;

ALGORITHMS;

EID: 37349095744     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2007.10.007     Document Type: Article

References (21)

1. Bagge M. A model of bone adaptation as an optimization process. J. Biomech. 33 (2000) 1349-1357
2. Beaupré G.S., Orr T.E., and Carter D.R. An approach for time-dependent bone modeling and remodeling - application: a preliminary remodeling simulation. J. Orthop. Res. 8 (1990) 662-670
3. Beaupré G.S., Orr T.E., and Carter D.R. An approach for time-dependent bone modeling and remodeling - theoretical development. J. Orthop. Res. 8 (1990) 651-661
4. Burr D.B. Targeted and nontargeted remodeling. Bone 30 1 (2002) 2-4
5. Carter D.R. Mechanical loading history and skeletal biology. J. Biomech. 20 (1987) 1095-1105
6. Cowin S.C., and Hegedus D.H. Bone remodeling I: a theory of adaptive elasticity. J. Elasticity 6 (1976) 313-326
7. Fernandes P., Rodrigues H., and Jacobs C. A model of bone adaptation using a global optimisation criterion based on the trajectorial theory of Wolff. Comput. Methods Biomech. Biomed. Eng. 2 2 (1999) 125-138
8. Fischer K.J., Jacobs C.R., Levenston M.E., and Carter D.R. Different loads can produce similar bone density distributions. Bone 19 (1996) 127-135
9. Fyhrie D.P., and Carter D.R. A unifying principle relating stress to trabecular bone morphology. J. Orthop. Res. 4 (1986) 304-317
10. Hollister S.J., Fyhrie D.P., Jepsen K.J., and Goldsttein S.A. Application of homogenization theory to the study of trabecular bone mechanics. J. Biomech. 24 (1991) 825-839
11. Hollister S.J., and Kikuchi N. A comparison of homogenization and standard mechanics analyses for periodic porous composites. Compos. Mech. 10 (1992) 73-95
12. Huiskes R., Weinans H., Grootenboer J., Dalstra M., Fudala M., and Slooff T.J. Adaptive bone-remodeling theory applied to prosthetic-design analysis. J. Biomech. 20 (1987) 1135-1150
13. Jacobs C.R., Simo J.C., Beaupré G.S., and Carter D.R. Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations. J. Biomech. 30 6 (1997) 603-613
14. Katz J.L., and Meunier A. The elastic anisotropy of bone. J. Biomech. 20 (1987) 1063-1070
15. Kerner J., Huiskes R., van Lenthe G.H., Weinans H., van Rietbergen B., Engh C.A., et al. Correlation between pre-operative periprosthetic bone density and post-operative bone loss in THA can be explained by strain-adaptive remodeling. J. Biomech. 32 (1999) 695-703
16. Levenston M.E., Beaupré G.S., Jacobs C.R., and Carter D.R. The role of loading memory in bone remodeling simulations. Bone 15 (1994) 177-186
17. Tovar, A., 2004. Bone remodeling as a hybrid cellular automaton optimization process. Ph.D. Dissertation, Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN.
18. Tovar A., Niebur G.L., Sen M., and Renaud J.E. Bonestructure adaptation as a cellular automaton optimization process. 45th AIAA/ASME/ASCE/AHS/ASC Structures Structural Dynamics & Materials Conference (2004), Palm Springs, California
19. Van Rietbergen B., Huiskes R., Weinans H., Sumner D.R., Turner T.M., and Galante J.O. The mechanism of bone remodeling and resorption around press-fitted THA stems. J. Biomech. 26 (1993) 369-382
20. Van Reitbergen B., Odgaard A., Kabel J., and Huiskes R. Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture. J. Biomech. 29 12 (1996) 1653-1657
21. Weinans H., Huiskes R., and Grootenboer H.J. The behavior of adaptive bone remodeling simulation models. J. Biomech. 25 12 (1992) 1425-1441