Trabecular bone fracture healing simulation with finite element analysis and fuzzy logic

Journal of Biomechanics

Volumn 38, Issue 12, 2005, Pages 2440-2450

  Shefelbine, Sandra J ^a   Augat, Peter ^a   Claes, Lutz ^a   Simon, Ulrich ^a  

^a Institute for Orthopaedics and Biomechanics   (Germany)

Author keywords

Finite element analysis; Fuzzy logic; Metaphyseal fracture healing; Tissue differentiation; Trabecular remodelling

Indexed keywords

CARTILAGE; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FRACTURE; FUZZY SETS; MATHEMATICAL MODELS;

BONE HEALING; METAPHYSEAL FRACTURE HEALING; TISSUE DIFFERENTIATION; TRABECULAR REMODELING;

BONE;

ARTICLE; BIOMECHANICS; CALLUS; DIAPHYSIS; DISEASE SIMULATION; FINITE ELEMENT ANALYSIS; FRACTURE HEALING; MUSCULOSKELETAL FUNCTION; OSSIFICATION; PREDICTION; PRIORITY JOURNAL; TISSUE DIFFERENTIATION; TRABECULAR BONE; WEIGHT BEARING;

ANIMALS; BONE AND BONES; BONE REMODELING; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; FRACTURE HEALING; FRACTURES, BONE; FUZZY LOGIC; HUMANS; MECHANOTRANSDUCTION, CELLULAR; MODELS, BIOLOGICAL;

EID: 26444455975     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2004.10.019     Document Type: Article

References (42)

1. T. Adachi, K. Tsubota, Y. Tomita, and S.J. Hollister Trabecular surface remodeling simulation for cancellous bone using microstructural voxel finite element models Journal of Biomechanical Engineering 123 5 2001 403 409
2. C. Ament, and E.P. Hofer A fuzzy logic model of fracture healing Journal of Biomechanics 33 8 2000 961 968
3. P. Augat, J. Merk, A. Ignatius, K. Margevicius, G. Bauer, D. Rosenbaum, and L. Claes Early, full weightbearing with flexible fixation delays fracture healing Clinical Orthopaedics 328 1996 194 202
4. A. Bailon-Plaza, and M. van der Meulen A mathematical framework to study the effects of growth factor influences on fracture healing Journal of Theoretical Biology 212 2001 191 209
5. D.R. Carter, and W.C. Hayes The compressive behavior of bone as a two-phase porous structure Journal of Bone and Joint Surgery - American Volume 59 7 1977 954 962
6. D.R. Carter, D.P. Fyhrie, and R.T. Whalen Trabecular bone density and loading history regulation of connective tissue biology by mechanical energy Journal of Biomechanics 20 8 1987 785 794
7. D.R. Carter, P.R. Blenman, and G.S. Beaupre Correlations between mechanical stress history and tissue differentiation in initial fracture healing Journal of Orthopaedics Research 6 5 1988 736 748
8. C. Chenu, J. Pfeilschifter, G.R. Mundy, and G.D. Roodman Transforming growth factor beta inhibits formation of osteoclast-like cells in long-term human marrow cultures Proceedings of National Academy of Sciences of the United States of America 85 15 1988 5683 5687
9. L.E. Claes, and C.A. Heigele Magnitudes of local stress and strain along bony surfaces predict the course and type of fracture healing Journal of Biomechanics 32 3 1999 255 266
10. S.C. Cowin, Y.P. Arramon, G.M. Luo, and A.M. Sadegh Chaos in the discrete-time algorithm for bone-density remodeling rate equations Journal of Biomechanics 26 9 1993 1077 1089
11. H.M. Frost Perspectives bone's mechanical usage windows Bone and Mineral 19 3 1992 257 271
12. D.P. Fyhrie, and D.R. Carter Femoral head apparent density distribution predicted from bone stresses Journal of Biomechanics 23 1 1990 1 10
13. L.C. Gerstenfeld, D.M. Cullinane, G.L. Barnes, D.T. Graves, and T.A. Einhorn Fracture healing as a post-natal developmental process molecular, spatial, and temporal aspects of its regulation Journal of Cellular Biochemistry 88 5 2003 873 884
14. W.C. Hayes, and D.R. Carter Postyield behavior of subchondral trabecular bone Journal of Biomedical Materials Research 10 4 1976 537 544
15. T. Hildebrand, and P. Ruegsegger Quantification of bone microarchitecture with the structure model index Computer Methods in Biomechanics and Biomedical Engineering 1 1 1997 15 23
16. J. Homminga, R. Huiskes, B. Van Rietbergen, P. Ruegsegger, and H. Weinans Introduction and evaluation of a gray-value voxel conversion technique Journal of Biomechanics 34 4 2001 513 517
17. R.Y. Hori, and J.L. Lewis Mechanical properties of the fibrous tissue found at the bone-cement interface following total joint replacement Journal of Biomedical Materials Research 16 6 1982 911 927
18. R. Huiskes, H. Weinans, H.J. Grootenboer, M. Dalstra, B. Fudala, and T.J. Slooff Adaptive bone-remodeling theory applied to prosthetic-design analysis Journal of Biomechanics 20 11-12 1987 1135 1150
19. R. Huiskes, R. Ruimerman, G.H. van Lenthe, and J.D. Janssen Effects of mechanical forces on maintenance and adaptation of form in trabecular bone Nature 405 6787 2000 704 706
20. C. Jacobs, M. Levenston, G. Beaupre, and J. Simo A new implementation of finite element-based remodelling. Proceedings of the International Symposium on Computer Methods in Biomechanics and Biomedical Engineering 1992 Swansea Wales
21. L. Jarry, and H.K. Uhthoff Differences in healing of metaphyseal and diaphyseal fractures Canadian Journal of Surgery 14 2 1971 127 135
22. D. Kaspar, W. Seidl, C. Neidlinger-Wilke, A. Ignatius, and L. Claes Dynamic cell stretching increases human osteoblast proliferation and cicp synthesis but decreases osteocalcin synthesis and alkaline phosphatase activity Journal of Biomechanics 33 1 2000 45 51
23. J.T. Koontz, G.T. Charras, and R.E. Guldberg A microstructural finite element simulation of mechanically induced bone formation Journal of Biomechanical Engineering 123 6 2001 607 612
24. D. Lacroix, and P.J. Prendergast A mechano-regulation model for tissue differentiation during fracture healing analysis of gap size and loading Journal of Biomechanics 35 9 2002 1163 1171
25. D. Lacroix, P.J. Prendergast, G. Li, and D. Marsh Biomechanical model to simulate tissue differentiation and bone regeneration application to fracture healing Medical & Biological Engineering Computing 40 1 2002 14 21
26. M.G. Mullender, and R. Huiskes Proposal for the regulatory mechanism of wolff's law Journal of Orthopaedics Research 13 4 1995 503 512
27. M.G. Mullender, R. Huiskes, and H. Weinans A physiological approach to the simulation of bone remodeling as a self-organizational control process Journal of Biomechanics 27 11 1994 1389 1394
28. M. Mullender, B. van Rietbergen, P. Ruegsegger, and R. Huiskes Effect of mechanical set point of bone cells on mechanical control of trabecular bone architecture Bone 22 2 1998 125 131
29. R. Muller, and P. Ruegsegger Three-dimensional finite element modelling of non-invasively assessed trabecular bone structures Medical Engineering & Physics 17 2 1995 126 133
30. F. Pauwels Eine neue theorie über den einfluß mechanischer reize auf die differenzierung der stützgewebe Zeit & Chrift fur Antomie und Entwicklungsgeschichte 121 1960 478 515
31. P.J. Prendergast, R. Huiskes, and K. Soballe Esb research award 1996. Biophysical stimuli on cells during tissue differentiation at implant interfaces Journal of Biomechanics 30 6 1997 539 548
32. J.Y. Rho, M.C. Hobatho, and R.B. Ashman Relations of mechanical properties to density and ct numbers in human bone Medical Engineering & Physics 17 5 1995 347 355
33. C.T. Rubin, and L.E. Lanyon Kappa delta award paper. Osteoregulatory nature of mechanical stimuli function as a determinant for adaptive remodeling in bone Journal of Orthopaedics Research 5 2 1987 300 310
34. R. Ruimerman, B. Van Rietbergen, P. Hilbers, and R. Huiskes A 3-dimensional computer model to simulate trabecular bone metabolism Biorheology 40 1-3 2003 315 320
35. Simon, U., Augat, P., Utz, M., Claes, L., 2003. Simulation of tissue development and vascularisation in the callus healing process. Transactions of 49th Annual Meeting Orthopaedic Research Society, New Orleans.
36. C.H. Turner, V. Anne, and R.M. Pidaparti A uniform strain criterion for trabecular bone adaptation do continuum-level strain gradients drive adaptation? Journal of Biomechanics 30 6 1997 555 563
37. Uhthoff, H.K., Rahn, B.A., 1981. Healing patterns of metaphyseal fractures. Clinical Orthopaedics (160) 295-303.
38. B. Van Rietbergen, H. Weinans, R. Huiskes, and A. Odgaard A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models Journal of Biomechanics 28 1 1995 69 81
39. N. Wang, J.P. Butler, and D.E. Ingber Mechanotransduction across the cell surface and through the cytoskeleton Science 260 5111 1993 1124 1127
40. H. Weinans, and P.J. Prendergast Tissue adaptation as a dynamical process far from equilibrium Bone 19 2 1996 143 149
41. H. Weinans, R. Huiskes, and H.J. Grootenboer The behavior of adaptive bone-remodeling simulation models Journal of Biomechanics 25 12 1992 1425 1441
42. D.L. Ypey, A.F. Weidema, K.M. Hold, A. Van der Laarse, J.H. Ravesloot, A. Van Der Plas, and P.J. Nijweide Voltage, calcium, and stretch activated ionic channels and intracellular calcium in bone cells Journal of Bone and Mineral Research 7 Suppl. 2 1992 S377 S387