Elastic modeling of bone at nanostructural level

Materials Science and Engineering R: Reports

Volumn 73, Issue 3-4, 2012, Pages 27-49

  Hamed, Elham ^a   Jasiuk, Iwona ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Bone; Bone modeling; Mineralized biological tissues; Mineralized collagen fibril; Nanoscale

Indexed keywords

BIOMATERIALS; BIOMECHANICS; BONE; CHARACTERIZATION; COLLAGEN; COMPOSITE MATERIALS; COMPOSITE MICROMECHANICS; CROSSLINKING; FRACTURE; FRACTURE TOUGHNESS; HYDROXYAPATITE; MECHANICAL PROPERTIES; MOLECULAR DYNAMICS; MOLECULES; MUSCULOSKELETAL SYSTEM; NANOCOMPOSITES; SCAFFOLDS (BIOLOGY); STIFFNESS; STRENGTH OF MATERIALS; STRUCTURAL PROPERTIES; TISSUE; TISSUE REGENERATION;

BIOLOGICAL TISSUES; BONE MODELS; BONE TISSUE REGENERATION; MECHANICAL CHARACTERIZATIONS; MINERALIZED COLLAGEN FIBRILS; NANO SCALE; NON-COLLAGENOUS PROTEINS; STRUCTURE PROPERTY RELATION;

FINITE ELEMENT METHOD;

EID: 84861911937     PISSN: 0927796X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mser.2012.04.001     Document Type: Review

References (182)

1. S. Weiner, and H.D. Wagner Annual Review of Materials Science 28 1998 271 298
2. I. Jasiuk, and M. Ostoja-Starzewski Biomechanics and Modeling in Mechanobiology 3 2004 67 74
3. M.J. Buehler Journal of the Mechanical Behavior of Biomedical Materials 1 2008 59 67
4. P. Fratzl, H.S. Gupta, E.P. Paschalis, and P. Roschger Journal of Materials Chemistry 14 2004 2115 2123
5. M.J. Olszta, X.G. Cheng, S.S. Jee, R. Kumar, Y.Y. Kim, M.J. Kaufman, E.P. Douglas, and L.B. Gower Materials Science & Engineering R-Reports 58 2007 77 116
6. N. Sasaki, A. Tagami, T. Goto, M. Taniguchi, M. Nakata, and K. Hikichi Journal of Materials Science-Materials in Medicine 13 2002 333 337
7. E. Seeman, and P.D. Delmas The New England Journal of Medicine 356 2006 2250 2261
8. F.-Z. Cui, Y. Li, and J. Ge Materials Science and Engineering R 57 2007 1 27
9. B.H. Ji, and H.J. Gao Composites Science and Technology 66 2006 1212 1218
10. E. Lucchinetti S.C. Cowin, Bone Mechanics Handbook 2001 CRC Press LLC p. 12-1
11. J.D. Currey J.G. Carter, Skeletal Biomineralization: Patterns, Processes and Evolutionary Trends vol. I 1990 Van Nostrand Reinhold New York 11
12. J.D. Currey Structure and Mechanics 2002 Princeton University Press Princeton, NJ
13. S.C. Cowin, and S.B. Doty Tissue Mechanics 2007 Springer New York, NY
14. S.C. Cowin Bone Mechanics Handbook 2001 CRC Press Boca Raton, FL
15. K.E. Kadler, D.F. Holmes, J.A. Trotter, and J.A. Chapman Biochemical Journal 316 1996 1 11
16. D.A.D. Parry Biophysical Chemistry 29 1988 195 209
17. R.V. Rice, M.D. Maser, E.F. Casassa, and R.E. Kerwin Archives of Biochemistry and Biophysics 105 1964 409 423
18. J.P.R.O. Orgel, A. Miller, T.C. Irving, R.F. Fischetti, A.P. Hammersley, and T.J. Wess Structure 9 2001 1061 1069
19. A. Miller Philosophical Transactions of the Royal Society of London, Series B: Biological Sciences 304 1984 455 477
20. F.O. Schmitt, C.E. Hall, and M.A. Jakus Journal of Cellular and Comparative Physiology 20 1942 11 33
21. J.Y. Rho, L. Kuhn-Spearing, and P. Zioupos Medical Engineering & Physics 20 1998 92 102
22. A.J. Hodge, and J.A. Petruska G.N. Ramachandran, Recent Studies with the Electron Microscope on Ordered Aggregates of the Tropocollagen Molecule 1963 Academic Press New York 289
23. R.G. Handschin, and W.B. Stern Calcified Tissue International 51 1992 111 120
24. M.G. Taylor, S.F. Parker, K. Simkiss, and P.C.H. Mitchell Physical Chemistry Chemical Physics 3 2001 1514 1517
25. J.M. Wallace, Q.S. Chen, M. Fang, B. Erickson, B.G. Orr, and M.M.B. Holl Langmuir 26 2010 7349 7354
26. J.M. Wallace, B. Erickson, C.M. Les, B.G. Orr, and M.M.B. Holl Bone 46 2010 1349 1354
27. D.J.S. Hulmes Journal of Structural Biology 137 2002 2 10
28. P. Fratzl Current Opinion in Colloid and Interface Science 8 2003 32 39
29. J.P.R.O. Orgel, T.C. Irving, A. Miller, and T.J. Wess Proceedings of the National Academy of Sciences of the United States of America 103 2006 9001 9005
30. X. Wang, R.A. Bank, J.M. TeKoppele, G.B. Hubbard, K.A. Athanasiou, and C.M. Agrawal Clinical Orthopaedics and Related Research 371 2000 228 239
31. X. Wang, R.A. Bank, J.M. TeKoppele, and C.M. Agrawal Journal of Orthopedic Research 19 2001 1021 1026
32. A.J. Bailey, S.F. Wotton, T.J. Sims, and P.W. Thompson Biochemical and Biophysical Research Communications 185 1992 801 805
33. B. Batge, D.J.H. Steins, M. Bodos, and P.K. Mullers European Journal of Clinical Investigation 22 1992 805 812
34. L. Knott, and A.J. Bailey Bone 22 1998 181 187
35. J. Kowitz, M. Knippel, T. Schuhr, and J. Mach Calcified Tissue International 60 1997 501 505
36. A. Forlino, W.A. Cabral, A.M. Barnes, and J.C. Marini Nature Reviews Endocrinology 7 2011 540 557
37. P. Fratzl Collagen: Structure and Mechanics 2008 Springer New York
38. W.J. Landis Connective Tissue Research 35 1996 1 8
39. W.J. Landis, K.J. Hodgens, J. Arena, M.J. Song, and B.F. McEwen Microscopy Research and Technique 33 1996 192 202
40. S. Weiner, and W. Traub FASEB Journal 6 1992 879 885
41. P. Fratzl Journal of Applied Crystallography 36 2003 397 404
42. P. Fratzl, M. Groschner, G. Vogl, H. Plenk, J. Eschberger, N. Fratzlzelman, K. Koller, and K. Klaushofer Journal of Bone and Mineral Research 7 1992 329 334
43. O. Paris, I. Zizak, H. Lichtenegger, P. Roschger, K. Klaushofer, and P. Fratzl Cellular and Molecular Biology 46 2000 993 1004
44. M.A. Rubin, L. Jasiuk, J. Taylor, J. Rubin, T. Ganey, and R.P. Apkarian Bone 33 2003 270 282
45. R.A. Robinson Journal of Bone and Joint Surgery 34-A 1952 389 435 (passim)
46. S. Weiner, and P.A. Price Calcified Tissue International 39 1986 365 375
47. W. Traub, T. Arad, and S. Weiner Proceedings of the National Academy of Sciences of the United States of America 86 1989 9822 9826
48. K.S. Prostak, and S. Lees Calcified Tissue International 59 1996 474 479
49. S. Lees, K.S. Prostak, V.K. Ingle, and K. Kjoller Calcified Tissue International 55 1994 180 189
50. W.J. Landis, M.J. Song, A. Leith, L. McEwen, and B.F. McEwen Journal of Structural Biology 110 1993 39 54
51. S.A. Jackson, A.G. Cartwright, and D. Lewis Calcified Tissue Research 25 1978 217 222
52. P. Fratzl, S. Schreiber, and A. Boyde Calcified Tissue International 58 1996 341 346
53. S.J. Eppell, W.D. Tong, J.L. Katz, L. Kuhn, and M.J. Glimcher Journal of Orthopaedic Research 19 2001 1027 1034
54. H.J. Gao, B.H. Ji, I.L. Jager, E. Arzt, and P. Fratzl Proceedings of the National Academy of Sciences of the United States of America 100 2003 5597 6000
55. R. Ballarini, R. Kayacan, F.J. Ulm, T. Belytschko, and A.H. Heuer International Journal of Fracture 135 2005 187 197
56. B.H. Ji, and H.J. Gao Journal of the Mechanics and Physics of Solids 52 2004 1963 1990
57. B.H. Ji, H.J. Gao, and K.J. Hsia Philosophical Magazine Letters 84 2004 631 641
58. M.E. Launey, M.J. Buehler, and R.O. Ritchie D.R. Clarke, M. Ruhle, F. Zok, Annual Review of Materials Research vol. 40 2010 25 53
59. R.O. Ritchie M. Zaidi, Skeletal Biology and Medicine vol. 1192 2010 72 80
60. M.E. Ruppel, L.M. Miller, and D.B. Burr Osteoporosis International 19 2008 1251 1265
61. R.K. Nalla, J.J. Kruzic, and R.O. Ritchie Bone 34 2004 790 798
62. T. Hassenkam, G.E. Fantner, J.A. Cutroni, J.C. Weaver, D.E. Morse, and P.K. Hansma Bone 35 2004 4 10
63. D.A.D. Parry, and A.S. Craig A. Ruggeri, P.M. Motta, Ultrastructure of the Connective Tissue Matrix 1984 Martinus Nijhoff Boston 34 63
64. D.J.S. Hulmes, T.J. Wess, D.J. Prockop, and P. Fratzl Biophysical Journal 68 1995 1661 1670
65. A. Fritsch, L. Dormieux, and C. Hellmich C&R Mechanical 334 2006 151 157
66. E.P. Katz, and S. Li Journal of Molecular Biology 80 1973 1 15
67. N. Sasaki, and Y. Sudoh Calcified Tissue International 60 1997 361 367
68. I. Jager, and P. Fratzl Biophysical Journal 79 2000 1737 1746
69. S. Nikolov, and D. Raabe Biophysical Journal 94 2008 4220 4232
70. B. Alexander, T. Daulton, G. Genin, J. Lipner, J. Pasteris, B. Wopenka, S. Thomopoulos, Journal of the Royal Society Interface (2012), in press.
71. P.-Y. Chen, D. Toroian, P.A. Price, and J. McKittrick Calcified Tissue International 88 2011 351 361
72. A.B. Castro-Ceseña, E.E. Novitskaya, P.-Y. Chen, G.A. Hirata, and J. McKittrick Materials Science and Engineering C 31 2011 523 530
73. E. Novitskaya, P.Y. Chen, S. Lee, A. Castro-Ceseña, G. Hirata, V.A. Lubarda, and J. McKittrick Acta Biomaterialia 7 2012 3170 3177
74. E. Hamed, E. Novitskaya, J. Li, P.Y. Chen, I. Jasiuk, and J. McKittrick Acta Biomaterialia 8 2012 1080 1092
75. P.Y. Chen, and J. McKittrick Journal of the Mechanical Behavior of Biomedical Materials 4 2011 961 973
76. E. Hamed, E. Novitskaya, J. Li, P.-Y. Chen, I. Jasiuk, and J. McKittrick Acta Biomaterialia 8 2012 1080 1092
77. S. Mann S. Mann, J. Webb, R.J.P. Williams, Biomineralisation - Chemical and Biochemical Perspectives 1989 Weinheim
78. A.L. Boskey Clinical Orthopaedics and Related Research 1992 244 274
79. L. Addadi, and S. Weiner Proceedings of the National Academy of Sciences of the United States of America 82 1985 4110 4114
80. J.D. Currey Osteoporosis International 14 2003 S29 S36
81. Y.N. Yeni, C.U. Brown, and T.L. Norman Bone 1 1998 79 84
82. Y.N. Yeni, and T.L. Norman Bone 5 2000 499 504
83. R.R. Cooper, J.W. Milgram, and R.A. Robinson Journal of Bone and Joint Surgery 48A 1966 1239 1271
84. S.C. Cowin Journal of Biomechanics 32 1999 217 238
85. G.C. Reilly, H.F. Knapp, A. Stemmer, P. Niederer, and M.L.K. Tate Annals of Biomedical Engineering 29 2001 1074 1081
86. B.R. McCreadie, S.J. Hollister, M.B. Schaffler, and S.A. Goldstein Journal of Biomechanics 37 2004 563 572
87. E.E. Wilson, A. Awonusi, M.D. Morris, D.H. Kohn, M.M. Tecklenburg, and L.W. Beck Journal of Bone and Mineral Research 20 2005 625 634
88. Y.J. Yoon, and S.C. Cowin Biomechanics and Modeling in Mechanobiology 7 2008 1 11
89. W.F. Neuman, T.Y. Toribara, and B.J. Mulryan Journal of the American Chemical Society 75 1953 4239 4242
90. X. Wang, and S. Puram Annals of Biomedical Engineering 32 2004 123 135
91. P. Fantazzini, V. Bortolotti, R.J.S. Brown, M. Camaiti, C. Garavaglia, R. Viola, and G. Giavaresi Journal of Applied Physics 95 2004 339 343
92. N. Sasaki, and A. Enyo Journal of Biomechanics 7 1995 809 815
93. S. Nomura, A. Hiltner, J.B. Lando, and E. Baer Biopolymers 2 1977 231 246
94. M.H. Pineri, M. Escoubes, and G. Roche Biopolymers 12 1978 2799 2815
95. J. Yamashita, B.R. Furman, H.R. Rawls, X.D. Wang, and C.M. Agrawal Journal of Biomedical Materials Research 58 2001 47 53
96. C. Hellmich, F.-J. Ulm, and L. Dormieux Biomechanics and Modeling in Mechanobiology 2 2004 219 238
97. C. Hellmich, J.F. Barthelemy, and L. Dormieux European Journal of Mechanics a-Solids 23 2004 783 810
98. W. Voigt Annals of Physics 38 1889 185 192
99. A. Reuss Zeitschrift für Angewandte Mathematik und Mechanik 9 1929 49 58
100. Z. Hashin, and S. Shtrikman Journal of the Mechanics and Physics of Solids 11 1963 127 140
101. T.J. Hirsch Proceedings of the American Concrete Institute 59 1962 427 451
102. K. Piekarski International Journal of Engineering Science 11 1973 557 565
103. H.L. Cox British Journal of Applied Physics 3 1952 72 76
104. J.D. Currey Journal of Biomechanics 2 1969 477 480
105. G.E. Padawer, and N. Beecher Polymer Engineering and Science 10 1970 185 192
106. J. Lusis, R.T. Woodhams, and M. Xanthos Polymer Engineering and Science 13 1973 139 145
107. J.C. Halpin, and J.L. Kardos Polymer Engineering and Science 16 1976 344 352
108. J.L. Katz Journal of Biomechanics 4 1971 455 473
109. S.P. Kotha, and N. Guzelsu Medical Engineering & Physics 22 2000 575 585
110. Y. Benveniste Mechanics of Materials 6 1987 147 157
111. T. Mori, and K. Tanaka Acta Metallurgica 21 1973 571 574
112. G.J. Weng International Journal of Engineering Science 22 1984 845 856
113. B. Budiansky Journal of the Mechanics and Physics of Solids 13 1965 223 227
114. A. Hershey Journal of Applied Mechanics-ASME 21 1954 236 240
115. R. Hill Journal of the Mechanics and Physics of Solids 11 1963 357 372
116. E. Kroner Zeitschrift Fur Physik 151 1958 504 518
117. O. Akkus Journal of Biomechanical Engineering 127 2005 383 390
118. A. Fritsch, and C. Hellmich Journal of Theoretical Biology 244 2007 597 620
119. E. Hamed, Y. Lee, and I. Jasiuk Acta Mechanica 213 2010 131 154
120. T. Siegmund, M.R. Allen, and D.B. Burr Journal of Biomechanics 41 2008 1427 1435
121. J. Ghanbari, and R. Naghdabadi Journal of Biomechanics 42 2009 1560 1565
122. F. Yuan, S.R. Stock, D.R. Haeffner, J.D. Almer, D.C. Dunand, and L.C. Brinson Biomechanics and Modeling in Mechanobiology 10 2011 147 160
123. Q. Luo, R. Nakade, X. Dong, Q. Rong, and X. Wang Journal of the Mechanical Behavior of Biomedical Materials 4 2011 943 952
124. A. Barkaoui, A. Bettamer, and R. Hambli Procedia Engineering 10 2011 3185 3190
125. A.C. Lorenzo, and E.R. Caffarena Journal of Biomechanics 38 2005 1527 1533
126. M.J. Buehler Journal of Materials Research 21 2006 1947 1961
127. Y. Tang, R. Ballarini, M.J. Buehler, and S.J. Eppell Journal of the Royal Society Interface 7 2010 839 850
128. P.J. Veld, and M.J. Stevens Biophysical Journal 95 2008 33 39
129. R. Bhowmik, K.S. Katti, and D.R. Katti Journal of Materials Science 42 2007 8795 8803
130. M.J. Buehler Nanotechnology 18 2007 Article Number 295102
131. D.K. Dubey, and V. Tomar Mechanics Research Communications 35 2008 24 31
132. R. Hill Journal of the Mechanics and Physics of Solids 12 1964 199 212
133. L.J. Walpole Journal of the Mechanics and Physics of Solids 14 1966 151 162
134. L.J. Walpole Journal of the Mechanics and Physics of Solids 14 1966 289 301
135. G. Milton The Theory of Composites 2002 Cambridge University Press Cambridge
136. S. Nemat-Nasser, and M. Hori Micromechanics: Overall Properties of Heterogeneous Materials 1991 North-Holland Amsterdam
137. S. Torquato Random Heterogeneous Materials 2002 Springer
138. J.M. Deuerling, W.M. Yue, A.A.E. Orias, and R.K. Roeder Journal of Biomechanics 42 2009 2061 2067
139. H.D. Wagner, and S. Weiner Journal of Biomechanics 25 1992 1311 1320
140. P. Wall Applications of Mathematics 42 1997 245 257
141. A. Hodge, and J.A. Petruska G.N. Ramachandran, Aspects of Protein Structure 1963 Academic New York 289 300
142. J.D. Eshelby Proceedings of the Royal Society of London A 241 1957 376 396
143. A.C. Gavazzi, and D.C. Lagoudas Computational Mechanics 7 1990 13 19
144. P. Fratzl, N. Fratzl-Zelman, K. Klaushofer, G. Vogl, and K. Koller Calcified Tissue International 48 1991 407 413
145. A. Fritsch, C. Hellmich, and L. Dormieux Journal of Theoretical Biology 260 2010 230 252
146. S. Nemat-Nasser, T. Iwakuma, and M. Hejazi Mechanics of Materials 1 1982 239 267
147. S. Nemat-Nasser, N. Yu, and M. Hori Mechanics of Materials 15 1993 163 181
148. S. Nemat-Nasser, and M. Hori Micromechanics: Overall Properties of Heterogeneous Materials 1999 Elsevier Amsterdam
149. J. Bella, M. Eaton, B. Brodsky, and H.M. Berman Science 266 1994 75 81
150. R.Z. Kramer, M.G. Venugopal, J. Bella, P. Mayville, B. Brodsky, and H.M. Berman Journal of Molecular Biology 301 2000 1191 1205
151. A.D. MacKerell, D. Bashford, M. Bellott, R.L. Dunbrack, J.D. Evanseck, M.J. Field, S. Fischer, J. Gao, H. Guo, S. Ha, D. Joseph-McCarthy, L. Kuchnir, K. Kuczera, F.T.K. Lau, C. Mattos, S. Michnick, T. Ngo, D.T. Nguyen, B. Prodhom, W.E. Reiher, B. Roux, M. Schlenkrich, J.C. Smith, R. Stote, J. Straub, M. Watanabe, J. Wiorkiewicz-Kuczera, D. Yin, and M. Karplus Journal of Physical Chemistry B 102 1998 3586 3616
152. A.C.T. van Duin, S. Dasgupta, F. Lorant, and W.A. Goddard Journal of Physical Chemistry A 105 2001 9396 9409
153. J.D. Currey Journal of Experimental Biology 202 1999 2495 2503
154. A.L. Boskey S.C. Cowin, Bone Mechanics Handbook 2001 CRC Press LLC
155. R. Harley, D. James, A. Miller, and J.W. White Nature 267 1977 285 287
156. S. Cusack, and A. Miller Journal of Molecular Biology 135 1979 39 51
157. H. Hofmann, T. Voss, K. Kuhn, and J. Engel Journal of Molecular Biology 172 1984 325 343
158. N. Sasaki, and S. Odajima Journal of Biomechanics 29 1996 655 658
159. J.A.J. van der Rijt, K.O. van der Werf, M.L. Bennink, P.J. Dijkstra, and J. Feijen Macromolecular Bioscience 6 2006 697 702
160. S.J. Eppell, B.N. Smith, H. Kahn, and R. Ballarini Journal of the Royal Society Interface 3 2006 117 121
161. A.J. Heim, W.G. Matthews, and T.J. Koob Applied Physics Letters 89 2006 Article Number 181902
162. M.P.E. Wenger, L. Bozec, M.A. Horton, and P. Mesquida Biophysical Journal 93 2007 1255 1263
163. L. Yang, K.O. van der Werf, B. Koopman, V. Subramaniam, M.L. Bennink, P.J. Dijkstra, and J. Feijen Journal of Biomedical Materials Research Part A 82A 2007 160 168
164. L. Yang, K.O. Van der Werf, C.F.C. Fitie, M.L. Bennink, P.J. Dijkstra, and J. Feijen Biophysical Journal 94 2008 2204 2211
165. C.A. Grant, D.J. Brockwell, S.E. Radford, and N.H. Thomson Applied Physics Letters 92 2008 Article Number 233902
166. M. Minary-Jolandan, and M.F. Yu Biomacromolecules 10 2009 2565 2570
167. C.A. Grant, D.J. Brockwell, S.E. Radford, and N.H. Thomson Biophysical Journal 97 2009 2985 2992
168. Z.L. Shen, M.R. Dodge, H. Kahn, R. Ballarini, and S.J. Eppell Biophysical Journal 99 2010 1986 1995
169. S. Vesentini, C.F.C. Fitie, F.M. Montevecchi, and A. Redaelli Biomechanics and Modeling in Mechanobiology 3 2005 224 234
170. S. Lees Connective Tissue Research 16 1987 281 303
171. N. Sasaki, T. Ikawa, and A. Fukuda Journal of Biomechanics 24 1991 57 61
172. R. Snyders, D. Q7 Music, D. Sigumonrong, B. Schelnberger, J. Jensen, and J.M. Schneider Applied Physics Letters 90 2007 Article Number 193902
173. H.S. Gupta, J. Seto, W. Wagermaier, P. Zaslansky, P. Boesecke, and P. Fratzl Proceedings of the National Academy of Sciences of the United States of America 103 2006 17741 17746
174. K.I. Clarke, S.E. Graves, A.T.C. Wong, J.T. Triffitt, M.J.O. Francis, and J.T. Czernuszka Journal of Materials Science-Materials in Medicine 4 1993 107 110
175. M. Ostoja-Starzewski Microstructural Randomness and Scaling in Mechanics of Materials 2008 CRC Press Boca Raton, FL
176. H.S. Gupta, W. Wagermaier, G.A. Zickler, D.R.B. DAroush, S.S. Funari, P. Roschger, H.D. Wagner, and P. Fratzl Nano Letters 5 2005 2108 2111
177. J.D. Almer, and S.R. Stock Journal of Structural Biology 157 2007 365 370
178. F. Hang, and A.H. Barber Journal of the Royal Society Interface 8 2011 500 505
179. F. Hang, D. Lu, R.J. Bailey, I. Jimenez-Palomar, U. Stachewicz, B. Cortes-Ballesteros, M. Davies, M. Zech, C. Bödefeld, and A.H. Barber Nanotechnology 22 2011 365708
180. R. Puxkandl, I. Zizak, O. Paris, J. Keckes, W. Tesch, S. Bernstorff, P. Purslow, and P. Fratzl Philosophical Transactions of the Royal Society B: Biological Sciences 357 2002 191 197
181. J.F. Mammone, and S.M. Hudson Journal of Biomechanics 26 1993 439 446
182. X.D. Wang, and C.J. Qian Journal of Biomechanics 39 2006 595 602