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Volumn 2, Issue APR, 2014, Pages

Connecting mechanics and bone cell activities in the bone remodeling process: An integrated finite element modeling

Author keywords

Basic multicellular unit; Bone remodeling; Finite element; Mechanical stimulus; Proximal femur

Indexed keywords

CELL CULTURE; CELL PROLIFERATION; CELLS; CYTOLOGY; DYNAMICS; FATIGUE DAMAGE; FINITE ELEMENT METHOD; STRESSES;

EID: 85020616160     PISSN: None     EISSN: 22964185     Source Type: Journal    
DOI: 10.3389/fbioe.2014.00006     Document Type: Article
Times cited : (73)

References (61)
  • 1
    • 77953527913 scopus 로고    scopus 로고
    • Trabecular bone remodelling simulation considering osteocytic response to fluid-induced shear stress
    • Adachi, T., Kameo, Y., and Hojo, M. (2010). Trabecular bone remodelling simulation considering osteocytic response to fluid-induced shear stress. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 368, 2669-2682.
    • (2010) Philos. Trans. R. Soc. A Math. Phys. Eng. Sci , vol.368 , pp. 2669-2682
    • Adachi, T.1    Kameo, Y.2    Hojo, M.3
  • 2
    • 30344452622 scopus 로고    scopus 로고
    • A bone remodelling model coupling microdamage growth and repair by 3D BMU-activity
    • Aznar, J. M., Rueberg, T., and Doblare, M. (2005). A bone remodelling model coupling microdamage growth and repair by 3D BMU-activity. Biomech. Model Mechanobiol. 4, 147-167. doi: 10.1007/s10237-005-0067-x
    • (2005) Biomech. Model Mechanobiol , vol.4 , pp. 147-167
    • Aznar, J.M.1    Rueberg, T.2    Doblare, M.3
  • 3
    • 0034333761 scopus 로고    scopus 로고
    • A model of bone adaptation as an optimization process
    • Bagge, M. (2000). A model of bone adaptation as an optimization process. J. Biomech. 33, 1349-1357. doi:10.1016/S0021-9290(00)00124-X
    • (2000) J. Biomech , vol.33 , pp. 1349-1357
    • Bagge, M.1
  • 4
    • 0025484692 scopus 로고
    • An approach for time-dependent bone modeling and remodeling-application: a preliminary remodeling simulation
    • Beaupré, G. S., Orr, T. E., and Carter, D. R. (1990). An approach for time-dependent bone modeling and remodeling-application: a preliminary remodeling simulation. J. Orthop. Res. 8, 662-670. doi:10.1002/jor.1100080507
    • (1990) J. Orthop. Res , vol.8 , pp. 662-670
    • Beaupré, G.S.1    Orr, T.E.2    Carter, D.R.3
  • 5
    • 7044238389 scopus 로고    scopus 로고
    • The effect of muscle loading on the simulation of bone remodelling in the proximal femur
    • Bitsakos, C., Kerner, J., Fisher, I., and Amis, A. A. (2005). The effect of muscle loading on the simulation of bone remodelling in the proximal femur. J. Biomech. 38, 133-139. doi:10.1016/j.jbiomech.2004.03.005
    • (2005) J. Biomech , vol.38 , pp. 133-139
    • Bitsakos, C.1    Kerner, J.2    Fisher, I.3    Amis, A.A.4
  • 6
    • 81155135140 scopus 로고    scopus 로고
    • Modeling of bone adaptive behavior based on cells activities
    • Bonfoh, N., Novinyo, E., and Lipinski, P. (2011). Modeling of bone adaptive behavior based on cells activities. Biomech. Model. Mechanobiol. 5, 789-798. doi:10.1007/s10237-010-0274-y
    • (2011) Biomech. Model. Mechanobiol , vol.5 , pp. 789-798
    • Bonfoh, N.1    Novinyo, E.2    Lipinski, P.3
  • 7
    • 0023162010 scopus 로고
    • Trabecular bone density and loading history: regulation of tissue biology by mechanical energy
    • Carter, D. R., Fyhrie, D. P., and Whalen, R. T. (1987). Trabecular bone density and loading history: regulation of tissue biology by mechanical energy. J. Biomech. 20, 785-795. doi:10.1016/0021-9290(87)90058-3
    • (1987) J. Biomech , vol.20 , pp. 785-795
    • Carter, D.R.1    Fyhrie, D.P.2    Whalen, R.T.3
  • 8
    • 0024566948 scopus 로고
    • Relationships between loading history and femoral cancellous bone architecture
    • Carter, D. R., Orr, T. E., and Fyhrie, D. P. (1989). Relationships between loading history and femoral cancellous bone architecture. J. Biomech. 22, 231-244. doi:10.1016/0021-9290(89)90091-2
    • (1989) J. Biomech , vol.22 , pp. 231-244
    • Carter, D.R.1    Orr, T.E.2    Fyhrie, D.P.3
  • 9
    • 0019549267 scopus 로고
    • Continuum damage mechanics-a tool to describe phenomena before crack initiation
    • Chaboche, J. L. (1981). Continuum damage mechanics-a tool to describe phenomena before crack initiation. Nucl. Eng. Des. 64, 233-247. doi:10.1016/0029-5493(81)90007-8
    • (1981) Nucl. Eng. Des , vol.64 , pp. 233-247
    • Chaboche, J.L.1
  • 10
    • 81155151366 scopus 로고    scopus 로고
    • Analysis of bone architecture sensitivity for changes in mechanical loading, cellular activity, mechanotransduction, and tissue properties
    • Cox, L. G. E., van Rietbergen, B., van Donkelaar, C. C., and Ito, K. (2011). Analysis of bone architecture sensitivity for changes in mechanical loading, cellular activity, mechanotransduction, and tissue properties. Biomech. Model. Mechanobiol. 10, 701-712. doi:10.1007/s10237-010-0267-x
    • (2011) Biomech. Model. Mechanobiol , vol.10 , pp. 701-712
    • Cox, L.G.E.1    van Rietbergen, B.2    van Donkelaar, C.C.3    Ito, K.4
  • 11
    • 0001352989 scopus 로고    scopus 로고
    • A model of bone adaptation using a global optimisation criterion based on the trajectorial theory of Wolff
    • Fernandes, P., Rodrigues, H., and Jacobs, C. (1999). A model of bone adaptation using a global optimisation criterion based on the trajectorial theory of Wolff. Comput. Methods Biomech. Biomed. Engin. 2, 125-138. doi:10.1080/10255849908907982
    • (1999) Comput. Methods Biomech. Biomed. Engin , vol.2 , pp. 125-138
    • Fernandes, P.1    Rodrigues, H.2    Jacobs, C.3
  • 12
    • 23044529590 scopus 로고    scopus 로고
    • The Utah paradigm of skeletal physiology: an overview of its insights for bone, cartilage and collagenous tissue organs
    • Frost, H. M. (2001). The Utah paradigm of skeletal physiology: an overview of its insights for bone, cartilage and collagenous tissue organs. J. Bone Miner. Metab. 14, 179-184.
    • (2001) J. Bone Miner. Metab , vol.14 , pp. 179-184
    • Frost, H.M.1
  • 13
    • 77958512424 scopus 로고    scopus 로고
    • Application of neural networks and finite element computation for multiscale simulation of bone remodeling, 2010
    • Hambli, R. (2010). Application of neural networks and finite element computation for multiscale simulation of bone remodeling, 2010. J. Biomech. Eng. 132, 114502. doi:10.1115/1.4002536
    • (2010) J. Biomech. Eng , vol.132
    • Hambli, R.1
  • 14
    • 79955476444 scopus 로고    scopus 로고
    • Numerical procedure for multiscale bone adaptation prediction based on neural networks and finite element simulation
    • Hambli, R. (2011). Numerical procedure for multiscale bone adaptation prediction based on neural networks and finite element simulation. Finite Elem. Anal. Des. 47, 835-842. doi:10.1016/j.finel.2011.02.014
    • (2011) Finite Elem. Anal. Des , vol.47 , pp. 835-842
    • Hambli, R.1
  • 15
    • 84880943524 scopus 로고    scopus 로고
    • Micro-CT finite element model and experimental validation of trabecular bone damage and fracture
    • Hambli, R. (2013). Micro-CT finite element model and experimental validation of trabecular bone damage and fracture. Bone 56, 363-374. doi:10.1016/j.bone.2013.06.028
    • (2013) Bone , vol.56 , pp. 363-374
    • Hambli, R.1
  • 16
    • 79551567658 scopus 로고    scopus 로고
    • Multiscale methodology for bone remodelling simulation using coupled finite element and neural network computation
    • Hambli, R., Katerchi, K., and Benhamou, C. L. (2011). Multiscale methodology for bone remodelling simulation using coupled finite element and neural network computation. Biomech. Model. Mechanobiol. 10, 133-145. doi:10.1007/s10237-010-0222-x
    • (2011) Biomech. Model. Mechanobiol , vol.10 , pp. 133-145
    • Hambli, R.1    Katerchi, K.2    Benhamou, C.L.3
  • 17
    • 84859915533 scopus 로고    scopus 로고
    • Physiologically based mathematical model of transduction of mechanobiological signals by osteocytes
    • Hambli, R., and Rieger, R. (2012). Physiologically based mathematical model of transduction of mechanobiological signals by osteocytes. Biomech. Model. Mechanobiol. 11, 83-93. doi:10.1007/s10237-011-0294-2
    • (2012) Biomech. Model. Mechanobiol , vol.11 , pp. 83-93
    • Hambli, R.1    Rieger, R.2
  • 18
    • 65849087318 scopus 로고    scopus 로고
    • Strain-damage coupled algorithm for cancellous bone mechano-regulation with spatial function influence
    • Hambli, R., Soulat, D., Gasser, A., and Benhamou, C. L. (2009). Strain-damage coupled algorithm for cancellous bone mechano-regulation with spatial function influence. Comput. Methods Appl. Mech. Eng. 198, 2673-2682. doi:10.1016/j.cma.2009.03.014
    • (2009) Comput. Methods Appl. Mech. Eng , vol.198 , pp. 2673-2682
    • Hambli, R.1    Soulat, D.2    Gasser, A.3    Benhamou, C.L.4
  • 19
    • 84884283693 scopus 로고    scopus 로고
    • Finite element prediction with experimental validation of damage distribution in single trabeculae during three-point bending tests
    • Hambli, R., and Thurner, P. J. (2013). Finite element prediction with experimental validation of damage distribution in single trabeculae during three-point bending tests. J. Mech. Behav. Biomed. Mater. 27, 94-106. doi:10.1016/j.jmbbm.2013.07.005
    • (2013) J. Mech. Behav. Biomed. Mater , vol.27 , pp. 94-106
    • Hambli, R.1    Thurner, P.J.2
  • 20
    • 0000674643 scopus 로고    scopus 로고
    • Introduction to finite element based simulation of functional adaptation of cancellous bone
    • Hart, R. T., and Fritton, S. P. (1997). Introduction to finite element based simulation of functional adaptation of cancellous bone. Forma 12, 277-299.
    • (1997) Forma , vol.12 , pp. 277-299
    • Hart, R.T.1    Fritton, S.P.2
  • 21
    • 0035130678 scopus 로고    scopus 로고
    • A mechanistic model for internal bone remodeling exhibits different dynamic responses in disuse and overload
    • Hazelwood, S. J., Martin, R. B., Rashid, M. M., and Rodrigo, J. J. (2001). A mechanistic model for internal bone remodeling exhibits different dynamic responses in disuse and overload. J. Biomech. 34, 299-308. doi:10.1016/S0021-9290(00)00221-9
    • (2001) J. Biomech , vol.34 , pp. 299-308
    • Hazelwood, S.J.1    Martin, R.B.2    Rashid, M.M.3    Rodrigo, J.J.4
  • 22
    • 0033883393 scopus 로고    scopus 로고
    • A model of mechanobiologic and metabolic influences on bone adaptation
    • Hernandez, C. J., Beaupre, G. S., and Carter, D. R. (2000). A model of mechanobiologic and metabolic influences on bone adaptation. J. Rehabil. Res. Dev. 37, 235-244.
    • (2000) J. Rehabil. Res. Dev , vol.37 , pp. 235-244
    • Hernandez, C.J.1    Beaupre, G.S.2    Carter, D.R.3
  • 23
    • 0034899427 scopus 로고    scopus 로고
    • The influence of bone volume fraction and ash fraction on bone strength and modulus
    • Hernandez, C. J., Beaupre, G. S., Keller, T. S., and Carter, D. R. (2001). The influence of bone volume fraction and ash fraction on bone strength and modulus. Bone 29, 74-78. doi:10.1016/S8756-3282(01)00467-7
    • (2001) Bone , vol.29 , pp. 74-78
    • Hernandez, C.J.1    Beaupre, G.S.2    Keller, T.S.3    Carter, D.R.4
  • 24
    • 0028414083 scopus 로고
    • A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress
    • Hollister, S. J., Brennan, J. M., and Kikuchi, N. (1994). A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress. J. Biomech. 27, 433-444. doi:10.1016/0021-9290(94)90019-1
    • (1994) J. Biomech , vol.27 , pp. 433-444
    • Hollister, S.J.1    Brennan, J.M.2    Kikuchi, N.3
  • 25
    • 0034621881 scopus 로고    scopus 로고
    • Effects of mechanical forces on maintenance and adaptation of form in trabecular bone
    • Huiskes, R., Ruimerman, R., van Lenthe, G. H., and Janssen, J. D. (2000). Effects of mechanical forces on maintenance and adaptation of form in trabecular bone. Nature 405, 704-706. doi:10.1038/35015116
    • (2000) Nature , vol.405 , pp. 704-706
    • Huiskes, R.1    Ruimerman, R.2    van Lenthe, G.H.3    Janssen, J.D.4
  • 26
    • 0023510231 scopus 로고
    • Adaptive bone-remodelling theory applied to prosthetic-design analysis
    • Huiskes, R., Weinans, H., Grootenboer, H. J., Dalstra, M., Fudala, B., and Sloof, T. J. (1987). Adaptive bone-remodelling theory applied to prosthetic-design analysis. J. Biomech. 20, 1135-1150. doi:10.1016/0021-9290(87)90030-3
    • (1987) J. Biomech , vol.20 , pp. 1135-1150
    • Huiskes, R.1    Weinans, H.2    Grootenboer, H.J.3    Dalstra, M.4    Fudala, B.5    Sloof, T.J.6
  • 27
    • 0029278121 scopus 로고
    • Numerical instabilities in bone remodeling simulations: the advantages of a node-based finite element approach
    • Jacobs, C. R., Levenston, M. E., Beaupre, G. S., Simo, J. C., and Carter, D. R. (1995). Numerical instabilities in bone remodeling simulations: the advantages of a node-based finite element approach. J. Biomech. 28, 449-459. doi:10.1016/0021-9290(94)00087-K
    • (1995) J. Biomech , vol.28 , pp. 449-459
    • Jacobs, C.R.1    Levenston, M.E.2    Beaupre, G.S.3    Simo, J.C.4    Carter, D.R.5
  • 28
    • 0031172266 scopus 로고    scopus 로고
    • Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations
    • Jacobs, C. R., Simo, J. C., Beaupré, G. S., and Carter, D. R. (1997). Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations. J. Biomech. 30, 603-613.
    • (1997) J. Biomech , vol.30 , pp. 603-613
    • Jacobs, C.R.1    Simo, J.C.2    Beaupré, G.S.3    Carter, D.R.4
  • 29
    • 48149105454 scopus 로고    scopus 로고
    • Computational study of Wolff's law with trabecular architecture in the human proximal femur using topology optimization
    • Jang, I. G., and Kim, I. Y. (2008). Computational study of Wolff's law with trabecular architecture in the human proximal femur using topology optimization. J. Biomech. 41, 2353-2361. doi:10.1016/j.jbiomech.2008.05.037
    • (2008) J. Biomech , vol.41 , pp. 2353-2361
    • Jang, I.G.1    Kim, I.Y.2
  • 30
    • 75849129603 scopus 로고    scopus 로고
    • Application of design space optimization to bone remodeling simulation of trabecular architecture in human proximal femur for higher computational efficiency
    • Jang, I. G., and Kim, I. Y. (2010). Application of design space optimization to bone remodeling simulation of trabecular architecture in human proximal femur for higher computational efficiency. Finite Elem. Anal. Des. 4, 311-319. doi:10.1016/j.finel.2009.11.003
    • (2010) Finite Elem. Anal. Des , vol.4 , pp. 311-319
    • Jang, I.G.1    Kim, I.Y.2
  • 31
    • 0003035755 scopus 로고    scopus 로고
    • 'The type I/type II model for involutional osteoporosis,'
    • eds R. Marcus, D. Feldman, and J. Kelsey (San Diego: Academic Press)
    • Kassem, M., Melton, L. J., and Riggs, B. L. (1996). "The type I/type II model for involutional osteoporosis," in Osteoporosis, eds R. Marcus, D. Feldman, and J. Kelsey (San Diego: Academic Press), 691-702.
    • (1996) Osteoporosis , pp. 691-702
    • Kassem, M.1    Melton, L.J.2    Riggs, B.L.3
  • 32
    • 0141456343 scopus 로고    scopus 로고
    • Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone modelling
    • Komarova, S. V., Smith, R. J., Dixon, S. J., Sims, S. M., and Wahl, L. M. (2003). Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone modelling. Bone 33, 206-215. doi:10.1016/S8756-3282(03)00157-1
    • (2003) Bone , vol.33 , pp. 206-215
    • Komarova, S.V.1    Smith, R.J.2    Dixon, S.J.3    Sims, S.M.4    Wahl, L.M.5
  • 33
    • 3042548087 scopus 로고    scopus 로고
    • Modelling the interactions between osteoblast and osteoclasts activities in the bone remodeling
    • Lemaire, V., Tobin, F. L., Greller, L. D., Cho, C. R., and Suva, L. J. (2004). Modelling the interactions between osteoblast and osteoclasts activities in the bone remodeling. J. Theor. Biol. 229, 293-309. doi:10.1016/j.acthis.2009.10.003
    • (2004) J. Theor. Biol , vol.229 , pp. 293-309
    • Lemaire, V.1    Tobin, F.L.2    Greller, L.D.3    Cho, C.R.4    Suva, L.J.5
  • 35
    • 0034455103 scopus 로고    scopus 로고
    • Birth and death of bone cells: basic regulatory mechanisms and implications for the pathogenesis and treatment of osteoporosis
    • Manolagas, S. C. (2000). Birth and death of bone cells: basic regulatory mechanisms and implications for the pathogenesis and treatment of osteoporosis. Endocr. Rev. 21, 115. doi:10.1210/edrv.21.2.0395
    • (2000) Endocr. Rev , vol.21 , pp. 115
    • Manolagas, S.C.1
  • 36
    • 0029073707 scopus 로고
    • A mathematical model for fatigue damage repair and stress fracture in osteonal bone
    • Martin, R. B. (1995). A mathematical model for fatigue damage repair and stress fracture in osteonal bone. J. Orthop. Res. 13, 309-316. doi:10.1002/jor.1100130303
    • (1995) J. Orthop. Res , vol.13 , pp. 309-316
    • Martin, R.B.1
  • 38
    • 0042785943 scopus 로고    scopus 로고
    • Mathematical approaches to bone reformation phenomena and numerical simulations
    • Matsuura, Y., Oharu, S., Takata, T., and Tamura, A. (2003). Mathematical approaches to bone reformation phenomena and numerical simulations. J. Comput. Appl. Math. 158, 107-119. doi:10.1016/S0377-0427(03)00470-9
    • (2003) J. Comput. Appl. Math , vol.158 , pp. 107-119
    • Matsuura, Y.1    Oharu, S.2    Takata, T.3    Tamura, A.4
  • 39
    • 0043231031 scopus 로고    scopus 로고
    • On a class of reaction-diffusion systems describing bone remodeling phenomena
    • Matsuura, Y., Oharu, S., and Tebbs, D. (2002). On a class of reaction-diffusion systems describing bone remodeling phenomena. Nihonkai Math. J. 13, 17-32.
    • (2002) Nihonkai Math. J , vol.13 , pp. 17-32
    • Matsuura, Y.1    Oharu, S.2    Tebbs, D.3
  • 40
    • 33947706818 scopus 로고    scopus 로고
    • Bone remodeling algorithms incorporating both strain and microdamage stimuli
    • McNamara, L. M., and Prendergast, J. P. (2007). Bone remodeling algorithms incorporating both strain and microdamage stimuli. J. Biomech. 40, 1381-1391. doi:10.1016/j.jbiomech.2006.05.007
    • (2007) J. Biomech , vol.40 , pp. 1381-1391
    • McNamara, L.M.1    Prendergast, J.P.2
  • 41
    • 33646132299 scopus 로고    scopus 로고
    • Phenomenological model of bone remodeling cycle containing osteocyte regulation loop
    • Moroz, A., Crane, M. C., David, G. S., and Wimpenny, I. (2006). Phenomenological model of bone remodeling cycle containing osteocyte regulation loop. Biosystems 84, 183-190. doi:10.1016/j.biosystems.2005.11.002
    • (2006) Biosystems , vol.84 , pp. 183-190
    • Moroz, A.1    Crane, M.C.2    David, G.S.3    Wimpenny, I.4
  • 42
    • 0029134676 scopus 로고
    • Proposal for the regulatory mechanism of Wolff's law
    • Mullender, M. G., and Huiskes, R. (1995). Proposal for the regulatory mechanism of Wolff's law. J. Orthop. Res. 13, 503-512. doi:10.1002/jor.1100130405
    • (1995) J. Orthop. Res , vol.13 , pp. 503-512
    • Mullender, M.G.1    Huiskes, R.2
  • 44
    • 0028362416 scopus 로고
    • Osteonal and hemi-osteonal remodeling: spatial and temporal framework for signal traffic in adult human bone
    • Parfitt, A. M. (1994). Osteonal and hemi-osteonal remodeling: spatial and temporal framework for signal traffic in adult human bone. J. Cell. Biochem. 55, 273-286. doi:10.1002/jcb.240550303
    • (1994) J. Cell. Biochem , vol.55 , pp. 273-286
    • Parfitt, A.M.1
  • 45
    • 52449126861 scopus 로고    scopus 로고
    • Model structure and control of bone remodeling: a theoretical study
    • Pivonka, P., Zimak, J., Smith, D., Gardiner, B., Dunstan, C., Sims, N., et al. (2008). Model structure and control of bone remodeling: a theoretical study. Bone 43, 249-263. doi:10.1016/j.bone.2008.03.025
    • (2008) Bone , vol.43 , pp. 249-263
    • Pivonka, P.1    Zimak, J.2    Smith, D.3    Gardiner, B.4    Dunstan, C.5    Sims, N.6
  • 46
    • 0028488953 scopus 로고
    • Prediction of bone adaptation using damage accumulation
    • Prendergast, P. J., and Taylor, D. (1994). Prediction of bone adaptation using damage accumulation. J. Biomech. 27, 1067-1076. doi:10.1016/0021-9290(94)90223-2
    • (1994) J. Biomech , vol.27 , pp. 1067-1076
    • Prendergast, P.J.1    Taylor, D.2
  • 47
    • 0035108552 scopus 로고    scopus 로고
    • A theoretical model of the effect of continuum damage on a bone adaptation model
    • Ramtani, S., and Zidi, M. (2001). A theoretical model of the effect of continuum damage on a bone adaptation model. J. Biomech. 34, 471-479.
    • (2001) J. Biomech , vol.34 , pp. 471-479
    • Ramtani, S.1    Zidi, M.2
  • 48
    • 0038738223 scopus 로고    scopus 로고
    • Modeling of bone formation and resorption mediated by parathyroid hormone: response to estrogen/PTH therapy
    • Rattanakul, C., Lenbury, Y., Krishnamara, N., and Wollkind, D. J. (2003). Modeling of bone formation and resorption mediated by parathyroid hormone: response to estrogen/PTH therapy. Biosystems 70, 55-72. doi:10.1016/S0303-2647(03)00040-6
    • (2003) Biosystems , vol.70 , pp. 55-72
    • Rattanakul, C.1    Lenbury, Y.2    Krishnamara, N.3    Wollkind, D.J.4
  • 49
    • 0032029664 scopus 로고    scopus 로고
    • Mechanical properties and the hierarchical structure of bone
    • Rho, J. Y., Kuhn-Spearing, L., and Zioupos, P. (1998). Mechanical properties and the hierarchical structure of bone. Med. Eng. Phys. 20, 92-102. doi:10.1016/S1350-4533(98)00007-1
    • (1998) Med. Eng. Phys , vol.20 , pp. 92-102
    • Rho, J.Y.1    Kuhn-Spearing, L.2    Zioupos, P.3
  • 50
    • 0019847761 scopus 로고
    • Role of osteoblasts in hormonal control of bone resorption-a hypothesis
    • Rodan, G. A., and Martin, T. J. (1981). Role of osteoblasts in hormonal control of bone resorption-a hypothesis. Calcif. Tissue Int. 33, 349-351. doi:10.1007/BF02409454
    • (1981) Calcif. Tissue Int , vol.33 , pp. 349-351
    • Rodan, G.A.1    Martin, T.J.2
  • 51
    • 13844274948 scopus 로고    scopus 로고
    • A theoretical framework for strain-related trabecular bone maintenance and adaptation
    • Ruimerman, R., Hilbers, P., van Rietbergen, B., and Huiskes, R. (2005). A theoretical framework for strain-related trabecular bone maintenance and adaptation. J. Biomech. 38, 931-941. doi:10.1016/j.jbiomech.2004.03.037
    • (2005) J. Biomech , vol.38 , pp. 931-941
    • Ruimerman, R.1    Hilbers, P.2    van Rietbergen, B.3    Huiskes, R.4
  • 52
    • 65949102980 scopus 로고    scopus 로고
    • Mathematical modeling of spatio-temporal dynamics of a single bone multicellular unit
    • Ryser, M. D., Nigam, N., and Komarova, S. V. (2009). Mathematical modeling of spatio-temporal dynamics of a single bone multicellular unit. J. Bone Miner. Res. 24, 860-870. doi:10.1359/jbmr.081229
    • (2009) J. Bone Miner. Res , vol.24 , pp. 860-870
    • Ryser, M.D.1    Nigam, N.2    Komarova, S.V.3
  • 53
    • 22044451748 scopus 로고    scopus 로고
    • Cellular accommodation and the response of bone to mechanical loading
    • Schriefer, J. L., Warde, S. J., Saxon, L. K., Robling, A. G., and Turner, C. H. (2005). Cellular accommodation and the response of bone to mechanical loading. J. Biomech. 38, 1838-1845. doi:10.1016/j.jbiomech.2004.08.017
    • (2005) J. Biomech , vol.38 , pp. 1838-1845
    • Schriefer, J.L.1    Warde, S.J.2    Saxon, L.K.3    Robling, A.G.4    Turner, C.H.5
  • 54
    • 1842843015 scopus 로고    scopus 로고
    • Predicting stress fractures using a probabilistic model of damage, repair and adaptation
    • Taylor, D., Casolari, E., and Bignardi, C. (2004). Predicting stress fractures using a probabilistic model of damage, repair and adaptation. J. Orthop. Res. 22, 487-494. doi:10.1016/j.orthres.2003.08.022
    • (2004) J. Orthop. Res , vol.22 , pp. 487-494
    • Taylor, D.1    Casolari, E.2    Bignardi, C.3
  • 55
    • 0043067950 scopus 로고    scopus 로고
    • Microdamage and mechanical behaviour: predicting failure and remodelling in compact bone
    • Taylor, D., and Lee, T. C. (2003). Microdamage and mechanical behaviour: predicting failure and remodelling in compact bone. J. Anat. 203, 203-211. doi:10.1046/j.1469-7580.2003.00194.x
    • (2003) J. Anat , vol.203 , pp. 203-211
    • Taylor, D.1    Lee, T.C.2
  • 56
    • 0038578013 scopus 로고    scopus 로고
    • iBone: a reaction diffusion based shape optimization method
    • Tezuka, K., Wada, Y., and Kikuchi, M. (2003). iBone: a reaction diffusion based shape optimization method. Key Eng. Mater. 243-244, 601-606. doi:10.4028/www.scientific.net/KEM.243-244.601
    • (2003) Key Eng. Mater , vol.243-244 , pp. 601-606
    • Tezuka, K.1    Wada, Y.2    Kikuchi, M.3
  • 57
    • 12444307480 scopus 로고    scopus 로고
    • Computer-simulated bone architecture in a simple bone remodeling model based on a reaction-diffusion system
    • Tezuka, K., Wada, Y., Takahashi, A., and Kikuchi, M. (2005). Computer-simulated bone architecture in a simple bone remodeling model based on a reaction-diffusion system. J. Bone Miner. Metab. 23, 1-7. doi:10.1007/s00774-004-0533-z
    • (2005) J. Bone Miner. Metab , vol.23 , pp. 1-7
    • Tezuka, K.1    Wada, Y.2    Takahashi, A.3    Kikuchi, M.4
  • 58
    • 33845727618 scopus 로고    scopus 로고
    • Topology optimization using a hybrid cellular automaton method with local control rules
    • Tovar, A., Patel, N. M., Niebur, G. L., Sen, M., and Renaud, J. E. (2006). Topology optimization using a hybrid cellular automaton method with local control rules. J. Mech. Des. 128, 1205.
    • (2006) J. Mech. Des , vol.128 , pp. 1205
    • Tovar, A.1    Patel, N.M.2    Niebur, G.L.3    Sen, M.4    Renaud, J.E.5
  • 59
    • 67349119876 scopus 로고    scopus 로고
    • Computer simulation of trabecular remodeling in human proximal femur using large-scale voxel FE models: approach to understanding Wolff's law
    • Tsubota, K., Suzuki, Y., Yamada, T., Hojo, M., Makinouchi, A., and Adachi, T. (2009). Computer simulation of trabecular remodeling in human proximal femur using large-scale voxel FE models: approach to understanding Wolff's law. J. Biomech. 42, 1088-1094. doi:10.1016/j.jbiomech.2009.02.030
    • (2009) J. Biomech , vol.42 , pp. 1088-1094
    • Tsubota, K.1    Suzuki, Y.2    Yamada, T.3    Hojo, M.4    Makinouchi, A.5    Adachi, T.6
  • 60
    • 0032710087 scopus 로고    scopus 로고
    • Toward a mathematical description of bone biology: the principle of cellular accommodation
    • Turner, C. H. (1999). Toward a mathematical description of bone biology: the principle of cellular accommodation. Calcif. Tissue Int. 65, 466-471. doi:10.1007/s002239900734
    • (1999) Calcif. Tissue Int , vol.65 , pp. 466-471
    • Turner, C.H.1
  • 61
    • 0016338411 scopus 로고
    • Scanning electron microscope studies of trabecular bone in the proximal end of the human femur
    • Whitehouse, W. J., and Dyson, E. D. (1974). Scanning electron microscope studies of trabecular bone in the proximal end of the human femur. J. Anat. 118, 417-444.
    • (1974) J. Anat , vol.118 , pp. 417-444
    • Whitehouse, W.J.1    Dyson, E.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.