Mechanics in skeletal development, adaptation and disease

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 358, Issue 1766, 2000, Pages 565-578

  Van Der Meulen, Marjolein C H ^a   Prendergast, Patrick J ^b  

^a Cornell University   (United States)

^b TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

Adaptation; Bone; Cell mechanics; Computer simulation; Imaging; Mechanics

Indexed keywords

EID: 0346672679     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2000.0546     Document Type: Article

References (44)

1. Baron, R. E. 1996 Anatomy and ultrastructure of bone. In Primer on the metabolic bone diseases and disorders of mineral metabolism, 3rd edn. (ed. M. J Favus), pp. 3-10. New York: Lippincott-Raven.
2. Boyde, A., Wolfe, L., Maly, M. & Jones, S. 1995 Vital confocal microscopy in bone. Scanning 17, 72-85.
3. Caplan, A. I. 1994 The mesengcnic process. Clin. Plast. Surg. 21, 429-435.
4. Carter, D. R. & Hayes, W. C. 1977 Bone as a two phase porous structure. J. Bone Joint Surg. A 59, 954-962.
5. Carter, D. R., Fyhrie, D. P. & Whalen, R. T. 1987 Trabecular bone density and loading history: regulation of connective tissue biology by mechanical energy. J. Biomech. 20, 785-794.
6. Carter, D. R., Orr, T. E. & Fyhrie, D. P. 1989 Relationships between loading history and femoral cancellous bone architecture. J. Biomech. 22, 231-244.
7. Carter, D. R., Beaupré, G. S., Giori, N. J. & Helms, J. A. 1998 Mechanobiology of skeletal regeneration. Clin. Orthop. 355, S41-S55.
8. Cowin, S. C. & Hegedus, D. H. 1976 Bone remodeling. I. Theory of adaptive elasticity. J. Elasticity 6, 313-325.
9. Currey, J. D. 1984 Mechanical adaptations of bones. Princeton University Press.
10. Darwin, C. 1859 On the origin of species by means of natural selection. London: John Murray.
11. Fazzalari, N. L. 1993 Trabecular microfracture. Calcif. Tissue Int. 53, S143-S146.
12. Frost, H. M. 1973 The origin and nature of transients in human bone remodeling dynamics. In Clinical aspects of metabolic bone disease (ed. B. Frame, A. M. Parfitt & H. Duncan), pp. 124-137. Amsterdam: Excepta Medica.
13. Galilei, G. 1638 Discorsi e dimostrazioni mathematiche intorno à due nuove scienze. Lieda: Elsevier. (Translated by H. Crew & A. de Salivio (1939) as Dialogue concerning two new sciences. Northwestern University Press.)
14. Galilei, G. 1638 Discorsi e dimostrazioni mathematiche intorno à due nuove scienze. Lieda: Elsevier. (Translated by H. Crew & A. de Salivio (1939) as Dialogue concerning two new sciences. Northwestern University Press.)
15. Gibson, L. J. 1985 The mechanical behavior of cancellous bone. J. Biomech. 18, 317-328.
16. Guilak, F., Ratcliffe, A. & Mow, V. C. 1995 Chondrocyte deformation and local tissue strain in articular cartilage: a confocal microscopy study. J. Orthop. Res. 13, 410-421.
17. Hart, R. T., Davy, D. T. & Heiple, K. G. 1984 A computational method for stress analysis of adaptive elastic materials with a view towards applications in strain induced bone remodelling. J. Biomech. Engng 106, 342-350.
18. Hert, J., Lisková, M. & Landa, J. 1971 Reaction of bone to mechanical stimuli. Part 1. Continuous and intermittent loading of tibia in rabbit. Folia Morph., Prag. 19, 290-300.
19. Huiskes, R., Weinans, H., Grootenboer, H. J., Dalstra, M., Fudala, B. & Slooff, T. J. 1987 Adaptive bone remodelling theory applied to prosthetic design analysis. J. Biomech. 20, 1135-1150.
20. Jacobs, C. R., Levenston, M. E., Beaupré, G. S., Simo, J. C. & Carter, D. R. 1995 Numerical instabilities in bone remodeling simulations. The advantages of a node-based finite element approach. J. Biomech. 28, 449-459.
21. Martin, R. B. & Burr, D. B. 1989 Structure, function and adaptation of compact bone. New York: Raven Press.
22. Mullender, M. G. & Huiskes, R. 1995 A proposal for the regulatory mechanism of Wolff's law. J. Orthop. Res. 13, 503-512.
23. Müller, R. & Rüegsegger, P. 1995 Three dimensional finite element modelling of non-invasively assessed trabecular bone structures. Med. Engng Phys. 17, 126-133.
24. Pauwels, F. 1941 Grundrieß einer Biomechanik der Fracturheiling. In 34e Kongress der Deutschen Orthopädischen Gesellschaft, pp. 464-508. Stuttgart: Ferdinand Engke. (Translated by P. Maquet & R. Furlong (1986) as Biomechanics of fracture healing, in Biomechanics of the locomotor apparatus, pp. 106-137. Berlin: Springer.)
25. Pauwels, F. 1941 Grundrieß einer Biomechanik der Fracturheiling. In 34e Kongress der Deutschen Orthopädischen Gesellschaft, pp. 464-508. Stuttgart: Ferdinand Engke. (Translated by P. Maquet & R. Furlong (1986) as Biomechanics of fracture healing, in Biomechanics of the locomotor apparatus, pp. 106-137. Berlin: Springer.)
26. Perren, S. M. 1979 Physical and biological aspects of fracture healing with special reference to internal fixation. Clin. Orthop. 138, 175-196.
27. Prendergast, P. J. & Taylor, D. 1994 Prediction of bone adaptation using damage accumulation. J. Biomech. 27, 1067-1076.
28. Reilly, D. T. & Burstein, A. H. 1975 The elastic and ultimate properties of compact bone tissue. J. Biomech. 8, 393-405.
29. Roux, W. 1895 Gesammelte Abhandlungen der Entwicklungsmechanic der Organismen. Berlin: Wilhelm Englemann.
30. Rubin, C. T. & Lanyon, L. E. 1984 Dynamic strain similarity in vertebrates: an alternative to allometric limb bone scaling. J. Theor. Biol. 107, 321-327.
31. Schrödinger, E. 1945 What is life? The physical aspect of the living cell (Lectures delivered in Trinity College Dublin in 1943). Cambridge University Press.
32. Thompson, D'A. W. 1917 On growth and form. Cambridge University Press.
33. Torrance, A. G., Mosley, J. R., Suswillo, R. F. & Lanyon, L. E. 1994 Noninvasive loading of the rat ulna in vivo induces a strain-related modeling response uncomplicated by trauma or periosteal pressure. Calcif. Tissue Int. 54, 241-247.
34. Turner, C. H., Akhter, M. P., Raab, D. M., Kimmel, D. B. & Recker, R. R. 1991 A noninvasive, in vivo model for studying strain adaptive bone modeling. Bone 12, 73-79.
35. van der Meulen, M. C. H., Beaupré, G. S. & Carter, D. R. 1993 Mechanobiologic influences in long bone cross-sectional growth. Bone 14, 635-642.
36. van der Meulen, M. C. H., Morey-Holton, E. R. & Carter, D. R. 1995 Hindlimb suspension results in diminished femoral growth in the rat. J. Orthop. Res. 13, 700-707.
37. van Rietbergen, B., Huiskes, R., Weinans, H., Sumner, D. R., Turner, T. M. & Galante, J. O. 1993 The mechanism of remodelling and resorption around press-fitted THA stems. J. Biomech. 26, 369-382.
38. Vortkamp, A., Lee, K., Lanske, B., Segre, G. V., Kronenberg, H. M. & Tabin, C. J. 1996 Regulation of rate of cartilage differentiation by Indian hedgehog and PTH-related protein. Science 273, 613-622.
39. Weinans, H. & Prendergast, P. J. 1996 Tissue adaptation as a dynamical process far from equilibrium. Bone 19, 143-150.
40. Weinans, H., Huiskes, R. & Grootenboer, H. J. 1992 The behaviour of adaptive bone remodelling simulation models. J. Biomech. 25, 1425-1441.
41. Wolff, J. 1892 Das Gesetz der Transformation der Knochen. Berlin: Hirschwald. (Translated by P. Maquet & R. Furlong (1986) as The law of bone remodeling. Berlin: Springer.)
42. Wolff, J. 1892 Das Gesetz der Transformation der Knochen. Berlin: Hirschwald. (Translated by P. Maquet & R. Furlong (1986) as The law of bone remodeling. Berlin: Springer.)
43. Wong, M., Germiller, J., Bonadio, J. & Goldstein, S. A. 1993 Neuromuscular atrophy alters collagen gene expression, pattern formation, and mechanical integrity of the chick embryo long bone. Prog. Clin. Bio. Res. B 383, 587-597.
44. Zioupos, P., Currey, J. D. & Sedman, A. J. 1994 An examination of the micromechanics of failure of bone and antler by acoustic emission tests and laser scanning confocal microscopy. Med. Engng Phys. 16, 203-212.