Electro-mechanics of bone remodelling

International Journal of Engineering Science

Volumn 46, Issue 11, 2008, Pages 1173-1182

  Ramtani, Salah ^a  

^a CNRS   (France)

Author keywords

Bone remodelling; Continuum damage and thermodynamics of interacting continua; Electro mechanics

Indexed keywords

CONTINUUM MECHANICS; ELECTRIC FIELDS; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVES; MECHANICS;

BONE REMODELLING; CELLULAR ACTIVITIES; CHEMICAL FIELDS; CONTINUUM DAMAGE AND THERMODYNAMICS OF INTERACTING CONTINUA; ELECTRO-MECHANICS; ELECTROMECHANICAL MODELS; HEALING PROCESSES; ILLUSTRATIVE EXAMPLES; LONGITUDINAL WAVES; MECHANICS OF BONES; QUADRUPOLE; REACTIVE MASSES; SOLID MATRIXES;

BONE;

EID: 55749101159     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2008.06.001     Document Type: Article

References (69)

1. Demiray H., and Dost S. The effect of quadrupole on bone remodelling. Int. J. Eng. Sci. 3 (1996) 257-268
2. Demiray H. Electro-mechanical remodelling of bones. Int. J. Eng. Sci. 9 (1983) 1117-1126
3. Ascenzi A. Biomechanics and Galileo Galilei. J. Biomech. 26 (1993) 95-100
4. Wolff J.L. The Law of Bone Remodelling (1986), Springer, Berlin
5. Cowin S.C., and Hegedus D.M. Bone remodelling I: theory of adaptive elasticity. J. Elasticity 6 (1976) 313-325
6. Hegedus D.H., and Cowin S.C. Bone remodelling II: small strain adaptive elasticity. J. Elasticity 6 (1976) 337-352
7. Huiskes R. Simulation of Self-Organization and Functional Adaptation in Bone (1997), Springer-Verlag, Berlin
8. Lee T.C., Noelke L., McMahon G.T., Mulville J.P., and Taylor D. Functional adaptation in bone. In: Pedersen P., and Bendsoe M.P. (Eds). Synthesis in Bio Solid Mechanics (1998), Kluwer Academic Publishers, Dortrecht
9. Hart R.T., and Davy D.T. Theories of bone modelling and remodelling. In: Cowin S.C. (Ed). Bone Mechanics (1989), CRC Press (Chapter 11)
10. Zidi M., and Ramtani S. Bone remodelling theory applied to the study of n unit-elements model. J. Biomech. 32 (1999) 743-747
11. Currey J. The Mechanical Adaptations of Bones (1984), Princeton University Press
12. Frost H.M. Presence of microscopic cracks in vivo in bone. Bull. Henry Ford Hospital 8 (1960) 25-35
13. Carter D.R., and Hayes W.C. Compact bone fatigue damage-I. Residual strength and stiffness. J. Biomech. 10 (1977) 325-337
14. Prendergast P.J., and Taylor D. Prediction of bone adaptation using damage accumulation. J. Biomech. 27 (1994) 1067-1076
15. Burr D.B., Martin R.B., Schaffler M.B., and Radin E.L. Bone remodelling in response to in vivo fatigue microdamage. J. Biomech. 18 (1985) 189-200
16. Burr D.B., Milgrom C., Boyd R.D., Higgins W.L., and Radinel G. Experimental stress fractures of the tibia-biological and mechanical aetiology in rabbits. J. Bone Joint Surg. 72B (1990) 370-375
17. Mori S., and Burr D.B. Increased intracortical remodelling following fatigue damage. Bone 14 (1993) 103-109
18. Ramtani S., and Zidi M. Damaged-bone remodelling theory: thermodynamical approach. Mech. Res. Commun. 26 (1999) 701-708
19. Ramtani S., and Zidi M. A theoretical model of the effect of continuum damage on a bone adaptation model. J. Biomech. 34 (2001) 471-479
20. T.C. Lee, Detection and accumulation of microdamage in bone, M.D. Thesis, University of Dublin, 1997.
21. Burr D.B., Turner C.H., Naick P., Forwood M.R., and Pidaparti R. En bloc staining of bone under load does not improve dye diffusion into microcracks. J. Biomech. 31 (1998) 285-288
22. Fazzalari N.L., Forwood M.R., Manthey B.A., Smith K., and Holesik P. Three-dimensional confocal images of microdamage in cancellous bone. Bone 23 (1998) 373-378
23. Justus R., and Luft J.H. A mechanochemical hypothesis for bone remodelling induced by mechanical stress. Calc. Tissue Res. 5 (1970) 222-235
24. Bassett C.A.L., Pilla A.A., and Pawluk R.J. A non-operative salvage of surgically resistant pseudarthrosis and non-unions by pulsing electromagnetic fields: a preliminary report. Clin. Orthop. 124 (1977) 128-143
25. Brighton C.T., Friedenberg Z.B., Mitchell E.I., and Booth R.E. Treatment of non-union with constant direct current. Clin. Orthop. 124 (1977) 106-123
26. Becker R.O. The significance of bioelectric potentials. Bioelectroch. Bioener. 1 (1974) 187-199
27. Bassett C.A.L., and Becker R.O. Generation of electric potentials in bone in response to mechanical stress. Science 137 (1962) 1063-1064
28. Fukada E., and Yasuda I. On the piezoelectric effect of bone. J. Phys. Soc. (Jpn) 12 (1957) 1158-1162
29. Aschero G., Gizdulich F., Mango F., and Romano M. Converse piezoelectric effect detected in fresh cow bone. J. Biomechanics. 29 9 (1996) 1169-1174
30. Beck, Belinda, The relationship of streaming potential magnitude to strain and periosteal modelling, Ph.D. Dissertation University of Oregon, 1996.
31. Gross D., and Williams W. Streaming potential and the electromechanical response of physiologically-moist bone. J. Biomechanics. 15 4 (1982) 277-295
32. Hung C.T., Allen F.D., Pollack S.R., and Brighton C.T. What is the role of the convective current density in the real-time response of cultured bone cells to fluid flow?. J. Biomechanics. 29 11 (1996) 1403-1409
33. Johnson M.W., Chakkalakal R.A., and Katz J.L. Comparison of the electromechanical effects in wet and dry bone. J. Biomechanics. 15 (1980) 881-885
34. McDonald F., and Houston W.J.B. An in vivo assessment of muscular activity and the importance of electrical phenomena in bone remodelling. J. Anatomy. 172 (1990) 165-175
35. Rubin J., Mcleod K.J., Titus L., Nanes M.S., Catherwood B.D., and Rubin C.T. Formation of osteoclast-like cells is suppressed by low frequency, low intensity electric fields. J. Orthopaed. Res. 14 (1996) 7-15
36. Reinish G. Piezoelectric properties of bone as functions of moisture content. Nature 253 (1975) 626-627
37. Anderson J.C., and Eriksson C. Electrical properties of wet collagen. Nature 218 (1968) 167-169
38. Anderson J.C., and Eriksson C. Piezoelectric properties of dry and wet bone. Nature 227 (1970) 491-492
39. Williams W.S. Sources of piezoelectricity in tendon and bone. CRC Crit. Rev. Bioeng. 2 (1974) 95-117
40. Lakes R.S. The role of gradient effects in the piezoelectricity of bone. IEEE Trans. Biomed. Eng. BME27 (1980) 282-283
41. Chakkalakal D.A., Johnson M.W., Harper R.A., and Katz J.L. Dielectric properties of fluid saturated bone. IEEE Trans. Biomed. Eng. BME-27 (1980) 95-100
42. Lakes R.S., and Katz J.L. Dielectric relaxation in cortical bone. J. Appl. Phys. 48 (1977) 808-811
43. Korostoff E. Stress generated potentials in bone: relationship to piezoelectricity of collagen. J. Biomech. 10 (1979) 41-44
44. Bur A. Measurements of the dynamic piezoelectric properties of bone as a function of temperature and humidity. J. Biomech. 1 (1976) 495-507
45. Korostoff E. A Linear piezoelectric model for characterizing stress generated potentials in bone. J. Biomech. 12 (1979) 335-347
46. Gjelsvik A. Bone remodelling and piezoelectricity II. J. Biomech. 6 (1973) 187-193
47. Guzelsu N. A piezoelectric model for dry bone and tissue. J. Biomech. 11 (1978) 257-267
48. Johnson M., Chakkalakal D., Harper R.A., and Katz J.L. Comparison of the electromechanical effects in wet and dry bone. J. Biomech. 13 (1980) 437-442
49. Chakkalakal D.A., and Johnson M.W. Electrical properties of compact bone. Clin. Orthopaed. Relat. Res. 161 (1981) 133-145 (November-December)
50. Rajagopal K.R., and Tao L. Mechanics of Mixtures. Series on Advances in Mathematics for Applied Sciences vol. 35 (1995), World Scientific Publishing Co. Pvt. Ltd
51. Demiray H., and Güzelsu N. A mixture model for wet bones - I theory. Int. J. Eng. Sci. 15 (1977) 707-718
52. Demiray H., and Güzelsu N. Electromechanical properties and related models of bone tissues. Int. J. Eng. Sci. 17 (1979) 813-851
53. Chakkalakal D.A. Mechanoelectric transduction in bone. J. Mater. Res. 4 (1989) 1034
54. Ramtani S., and Zidi M. Damaged-bone adaptation under steady homogeneous stress. ASME J. Biomech. Eng. 124 (2002) 1-6
55. Demiray H., and Eringen A.C. Continuum theory of slightly ionized plasma, diamagnetic effects. Plasma Phys. 15 (1973) 903-920
56. Bowen R.M. Theory of mixtures. In: Eringen A.C. (Ed). Continuum Physics vol. 3 (1976), Academic Press 1-127
57. Grot R.A. Relativistic continuum physics: electromagnetic interactions. In: Eringen A.C. (Ed). Continuum Physics (1976), Academic Press, vol. 3 129-219
58. Lee T.C., Myers E.R., and Hayes W.C. Fluorescence-aided detection of microdamage in compact bone. J. Anat. 193 (1998) 179-184
59. S. Ment, Effects of seven days of continuous capacitive electrical stimulation on bone growth around titanium implants in the rat tibia, Master Degree Thesis, Mc Gill University, Montreal, 1999.
60. Nickerson D.P., Smith N.P., and Hunter P.J. A Model of Cardiac cellular electromechanics. The integrated heart: modelling cardiac structure and function. Philos. Trans.: Math., Phys. Eng. Sci. 359 1783 (2001) 1159-1172
61. Kohl P., and Sachs F. Mechanoelectric feedback in cardiac cells. The integrated heart: modelling cardiac structure and function. Philos. Trans.: Math., Phys. Eng. Sci. 359 783 (2001) 1173-1185
62. Rajagopal K.R., Wineman A.S., and Gandhi M.V. On boundary conditions for a certain class of problems in mixture theory. Int. J. Eng. Sci. 24 (1986) 1453-1463
63. Tao L., and Rajagopal K.R. On boundary conditions in mixture theory. In: Rajagopal K.R. (Ed). Recent Advances in Elasticity and Viscoelasticity (1995), World Scientific Publishing, Singapore 130-149
64. Rajagopal K.R. On implicit constitutive theories. Appl. Math. 48 (2003) 279-319
65. Massoudi M. Boundary conditions in mixture theory and in CFD applications of higher order models. Comput. Math. Appl. 53 (2007) 156-167
66. Johnson G.M., Massoudi M., and Rajagopal K.R. Flow of a fluid-solid mixture between flat plates. Chem. Eng. Sci. 46 (1991) 1713-1723
67. Johnson G.M., Massoudi M., and Rajagopal K.R. Flow of a fluid infused with solid particles through a pipe. Int. J. Eng. Sci. 29 (1991) 649-661
68. Massoudi M., Rajagopal K.R., and Phuoc T.X. On the fully developed flow of a dense particulate mixture in a pipe. Powder Tech. 104 (1999) 258-268
69. Eringen A.C. Electromagnetic theory of microstretch elasticity and bone modelling. Int. J. Eng. Sci. 42 (2004) 231-242