메뉴 건너뛰기




Volumn , Issue , 2001, Pages 31-1-31-42

Bone modeling and remodeling: Theories and computation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 80054949066     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (42)

References (95)
  • 3
    • 4243436258 scopus 로고
    • Quantitative Response of Bone to Mechanical Stress
    • Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland
    • Hart, R. T., Quantitative Response of Bone to Mechanical Stress, Ph.D. dissertation, Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland, 1983.
    • (1983) Ph.D. Dissertation
    • Hart, R.T.1
  • 4
    • 0021144362 scopus 로고
    • Mathematical modeling and numerical solutions for functionally dependent bone remodeling
    • Hart, R. T., D. T. Davy, and K. G. Heiple, Mathematical modeling and numerical solutions for functionally dependent bone remodeling, Calcif. Tissue Int., 36(Suppl. 1), S104-109, 1984.
    • (1984) Calcif. Tissue Int , vol.36 , pp. S104-S109
    • Hart, R.T.1    Davy, D.T.2    Heiple, K.G.3
  • 5
    • 0019438966 scopus 로고
    • Some historical remarks on the theory of cancellous bone structure (Wolff’s Law)
    • S. C. Cowin, New York, American Society of Mechanical Engineers
    • Roesler, H., Some historical remarks on the theory of cancellous bone structure (Wolff’s Law), Mechanical Properties of Bone, S. C. Cowin, New York, American Society of Mechanical Engineers: 27-42, 1981.
    • (1981) Mechanical Properties of Bone , pp. 27-42
    • Roesler, H.1
  • 6
    • 0020597335 scopus 로고
    • A determinant of bone architecture. The minimum effective strain
    • Frost, H. M., A determinant of bone architecture. The minimum effective strain, Clin. Orthop., 175, 286-292, 1983.
    • (1983) Clin. Orthop , vol.175 , pp. 286-292
    • Frost, H.M.1
  • 7
    • 0021210315 scopus 로고
    • Mechanical loading histories and cortical bone remodeling
    • Carter, D. R., Mechanical loading histories and cortical bone remodeling, Calcif. Tissue Int., 36 (Suppl. 1), S19-24, 1984.
    • (1984) Calcif. Tissue Int , vol.36 , pp. S19-S24
    • Carter, D.R.1
  • 8
  • 9
    • 0021134247 scopus 로고
    • Mechanical modeling of the stress adaptation process in bone
    • Cowin, S. C., Mechanical modeling of the stress adaptation process in bone, Calcif. Tissue Int., 36 (Suppl. 1), S98-103, 1984.
    • (1984) Calcif. Tissue Int , vol.36 , pp. S98-S103
    • Cowin, S.C.1
  • 10
    • 0027551991 scopus 로고
    • Bone ingrowth: An application of the boundary element method to bone remodeling at the implant interface
    • Sadegh, A. M., G. M. Luo, and S. C. Cowin, Bone ingrowth: an application of the boundary element method to bone remodeling at the implant interface, J. Biomech., 26(2), 167-182, 1993.
    • (1993) J. Biomech , vol.26 , Issue.2 , pp. 167-182
    • Sadegh, A.M.1    Luo, G.M.2    Cowin, S.C.3
  • 11
    • 0023036458 scopus 로고
    • A unifying principle relating stress to trabecular bone morphology
    • Fyhrie, D. P. and D. R. Carter, A unifying principle relating stress to trabecular bone morphology, J. Orthop. Res., 4(3), 304-317, 1986.
    • (1986) J. Orthop. Res , vol.4 , Issue.3 , pp. 304-317
    • Fyhrie, D.P.1    Carter, D.R.2
  • 12
    • 0023162010 scopus 로고
    • Trabecular bone density and loading history: Regulation of connective tissue biology by mechanical energy
    • Carter, D. R., D. P. Fyhrie, and R. T. Whalen, Trabecular bone density and loading history: regulation of connective tissue biology by mechanical energy, J. Biomech., 20(8), 785-794, 1987.
    • (1987) J. Biomech , vol.20 , Issue.8 , pp. 785-794
    • Carter, D.R.1    Fyhrie, D.P.2    Whalen, R.T.3
  • 13
    • 0026832975 scopus 로고
    • Modeling the biomechanics of the mandible: A three-dimensional finite element study
    • Hart, R. T., V. V. Hennebel, N. Thongpreda, W. C. Van Buskirk, and R. C. Anderson, Modeling the biomechanics of the mandible: a three-dimensional finite element study, J. Biomech., 25(3), 261-286, 1992.
    • (1992) J. Biomech , vol.25 , Issue.3 , pp. 261-286
    • Hart, R.T.1    Hennebel, V.V.2    Thongpreda, N.3    Van Buskirk, W.C.4    Anderson, R.C.5
  • 14
    • 0025237541 scopus 로고
    • Deviatoric and hydrostatic mode interaction in hard and soft tissue
    • Cowin, S. C., Deviatoric and hydrostatic mode interaction in hard and soft tissue, J. Biomech., 23(1), 11-14, 1990.
    • (1990) J. Biomech , vol.23 , Issue.1 , pp. 11-14
    • Cowin, S.C.1
  • 15
    • 0021960062 scopus 로고
    • Bone remodeling in response to in vivo fatigue microdamage
    • Burr, D. B., R. B. Martin, M. B. Schaffler, and E. L. Radin, Bone remodeling in response to in vivo fatigue microdamage, J. Biomech., 18(3), 189-200, 1985.
    • (1985) J. Biomech , vol.18 , Issue.3 , pp. 189-200
    • Burr, D.B.1    Martin, R.B.2    Schaffler, M.B.3    Radin, E.L.4
  • 16
    • 0025194549 scopus 로고
    • Skeletal structural adaptations to mechanical usage (SATMU): 2. Redefining Wolff’s law: The remodeling problem
    • Frost, H. M., Skeletal structural adaptations to mechanical usage (SATMU): 2. Redefining Wolff’s law: the remodeling problem, Anat. Rec., 226(4), 414-422, 1990.
    • (1990) Anat. Rec , vol.226 , Issue.4 , pp. 414-422
    • Frost, H.M.1
  • 17
    • 0027691266 scopus 로고
    • Bone stress adaptation models
    • Cowin, S. C., Bone stress adaptation models, J. Biomech. Eng., 115(4B), 528-533, 1993.
    • (1993) J. Biomech. Eng , vol.115 , Issue.4B , pp. 528-533
    • Cowin, S.C.1
  • 18
    • 0019415986 scopus 로고
    • In vivo strain measurements from bone and prosthesis following total hip replacement. An experimental study in sheep
    • Lanyon, L. E., I. L. Paul, C. T. Rubin, E. L. Thrasher, R. DeLaura, R. M. Rose, and E. L. Radin, In vivo strain measurements from bone and prosthesis following total hip replacement. An experimental study in sheep, J. Bone Joint Surg. [Am.], 63(6), 989-1001, 1981.
    • (1981) J. Bone Joint Surg. [Am.] , vol.63 , Issue.6 , pp. 989-1001
    • Lanyon, L.E.1    Paul, I.L.2    Rubin, C.T.3    Thrasher, E.L.4    Delaura, R.5    Rose, R.M.6    Radin, E.L.7
  • 19
    • 0024462764 scopus 로고
    • Skeletal change in response to altered strain environments: Is woven bone a response to elevated strain?
    • Burr, D. B., M. B. Schaffler, K. H. Yang, M. Lukoschek, N. Sivaneri, J. D. Blaha, and E. L. Radin, Skeletal change in response to altered strain environments: is woven bone a response to elevated strain? Bone, 10(3), 223-233, 1989.
    • (1989) Bone , vol.10 , Issue.3 , pp. 223-233
    • Burr, D.B.1    Schaffler, M.B.2    Yang, K.H.3    Lukoschek, M.4    Sivaneri, N.5    Blaha, J.D.6    Radin, E.L.7
  • 20
    • 0031654642 scopus 로고    scopus 로고
    • Skeletal cell stresses and bone adaptation
    • McLeod, K. J., C. T. Rubin, M. W. Otter, and Y. X. Qin, Skeletal cell stresses and bone adaptation, Am. J. Med. Sci., 316(3), 176-183, 1998.
    • (1998) Am. J. Med. Sci , vol.316 , Issue.3 , pp. 176-183
    • McLeod, K.J.1    Rubin, C.T.2    Otter, M.W.3    Qin, Y.X.4
  • 21
    • 0032124595 scopus 로고    scopus 로고
    • Nonlinear dependence of loading intensity and cycle number in the maintenance of bone mass and morphology
    • Qin, Y. X., C. T. Rubin, and K. J. McLeod, Nonlinear dependence of loading intensity and cycle number in the maintenance of bone mass and morphology, J. Orthop. Res., 16(4), 482-489, 1998.
    • (1998) J. Orthop. Res , vol.16 , Issue.4 , pp. 482-489
    • Qin, Y.X.1    Rubin, C.T.2    McLeod, K.J.3
  • 22
    • 0021322767 scopus 로고
    • Regulation of bone formation by applied dynamic loads
    • Rubin, C. T. and L. E. Lanyon, Regulation of bone formation by applied dynamic loads, J. Bone Joint Surg. [Am.], 66(3), 397-402, 1984.
    • (1984) J. Bone Joint Surg. [Am.] , vol.66 , Issue.3 , pp. 397-402
    • Rubin, C.T.1    Lanyon, L.E.2
  • 23
    • 0031655751 scopus 로고    scopus 로고
    • Three rules for bone adaptation to mechanical stimuli
    • Turner, C. H., Three rules for bone adaptation to mechanical stimuli, Bone, 23(5), 399-407, 1998.
    • (1998) Bone , vol.23 , Issue.5 , pp. 399-407
    • Turner, C.H.1
  • 24
    • 0019351406 scopus 로고
    • Review of Wolff’s law and its proposed means of operation
    • Treharne, R. W., Review of Wolff’s law and its proposed means of operation, Orthop. Revi., X(1), 35-47, 1981.
    • (1981) Orthop. Revi , vol.10 , Issue.1 , pp. 35-47
    • Treharne, R.W.1
  • 25
    • 0025764715 scopus 로고
    • Candidates for the mechanosensory system in bone
    • Cowin, S. C., L. Moss-Salentijn, and M. L. Moss, Candidates for the mechanosensory system in bone, J. Biomech. Eng., 113(2), 191-197, 1991.
    • (1991) J. Biomech. Eng , vol.113 , Issue.2 , pp. 191-197
    • Cowin, S.C.1    Moss-Salentijn, L.2    Moss, M.L.3
  • 26
    • 0029395299 scopus 로고
    • A case for bone canaliculi as the anatomical site of strain generated potentials
    • Cowin, S. C., S. Weinbaum, and Y. Zeng, A case for bone canaliculi as the anatomical site of strain generated potentials, J. Biomech., 28(11), 1281-1297, 1995.
    • (1995) J. Biomech , vol.28 , Issue.11 , pp. 1281-1297
    • Cowin, S.C.1    Weinbaum, S.2    Zeng, Y.3
  • 27
    • 0015545262 scopus 로고
    • Bone remodeling and piezoelectricity—I
    • Gjelsvik, A., Bone remodeling and piezoelectricity—I, J. Biomech., 6, 69-77, 1973.
    • (1973) J. Biomech , vol.6 , pp. 69-77
    • Gjelsvik, A.1
  • 28
    • 0015592447 scopus 로고
    • Bone remodeling and piezoelectricity—II
    • Gjelsvik, A., Bone remodeling and piezoelectricity—II, J. Biomech., 6, 187-193, 1973.
    • (1973) J. Biomech , vol.6 , pp. 187-193
    • Gjelsvik, A.1
  • 29
    • 0001505618 scopus 로고
    • Dynamics of bone remodeling
    • H. A. Frost, Ed., Little, Brown, Boston
    • Frost, H. A., Dynamics of bone remodeling, in Bone Biodynamics, H. A. Frost, Ed., Little, Brown, Boston, 315-333, 1964.
    • (1964) Bone Biodynamics , pp. 315-333
    • Frost, H.A.1
  • 30
    • 0000674643 scopus 로고    scopus 로고
    • Introduction to finite element based simulation of functional adaptation of cancellous bone
    • Hart, R. T. and S. P. Fritton, Introduction to finite element based simulation of functional adaptation of cancellous bone, Forma, 12, 277-299, 1997.
    • (1997) Forma , vol.12 , pp. 277-299
    • Hart, R.T.1    Fritton, S.P.2
  • 31
    • 0021526091 scopus 로고
    • A computational method for stress analysis of adaptive elastic materials with a view toward applications in strain-induced bone remodeling
    • Hart, R. T., D. T. Davy, and K. G. Heiple, A computational method for stress analysis of adaptive elastic materials with a view toward applications in strain-induced bone remodeling, J. Biomech. Eng., 106(4), 342-350, 1984.
    • (1984) J. Biomech. Eng , vol.106 , Issue.4 , pp. 342-350
    • Hart, R.T.1    Davy, D.T.2    Heiple, K.G.3
  • 33
    • 0018085950 scopus 로고
    • Internal bone remodeling induced by a medullary pin
    • Cowin, S. C. and W. C. Van Buskirk, Internal bone remodeling induced by a medullary pin, J. Biomech., 11(5), 269-275, 1978.
    • (1978) J. Biomech , vol.11 , Issue.5 , pp. 269-275
    • Cowin, S.C.1    Van Buskirk, W.C.2
  • 34
    • 0018654786 scopus 로고
    • Surface bone remodeling induced by a medullary pin
    • Cowin, S. C. and W. C. Van Buskirk, Surface bone remodeling induced by a medullary pin, J. Biomech., 12(4), 269-276, 1979.
    • (1979) J. Biomech , vol.12 , Issue.4 , pp. 269-276
    • Cowin, S.C.1    Van Buskirk, W.C.2
  • 35
    • 0020963921 scopus 로고
    • A survey of finite element analysis in orthopedic biomechanics: The first decade
    • Huiskes, R. and E. Y. Chao, A survey of finite element analysis in orthopedic biomechanics: the first decade, J. Biomech., 16(6), 385-409, 1983.
    • (1983) J. Biomech , vol.16 , Issue.6 , pp. 385-409
    • Huiskes, R.1    Chao, E.Y.2
  • 37
    • 0002791943 scopus 로고
    • The finite element method
    • S. C. Cowin, Ed., CRC Press, Boca Raton, FL, chap. 4
    • Hart, R. T., The finite element method, in Bone Mechanics, S. C. Cowin, Ed., CRC Press, Boca Raton, FL, 1989, chap. 4, 53-74.
    • (1989) Bone Mechanics , pp. 53-74
    • Hart, R.T.1
  • 38
    • 0025269893 scopus 로고
    • Skeletal structural adaptations to mechanical usage (SATMU): 1. Redefining Wolff’s law: The bone modeling problem
    • Frost, H. M., Skeletal structural adaptations to mechanical usage (SATMU): 1. Redefining Wolff’s law: the bone modeling problem, Anat. Rec., 226(4), 403-413, 1990.
    • (1990) Anat. Rec , vol.226 , Issue.4 , pp. 403-413
    • Frost, H.M.1
  • 39
    • 0016974131 scopus 로고
    • Bone remodeling I: Theory of adaptive elasticity
    • Cowin, S. C. and D. H. Hegedus, Bone remodeling I: Theory of adaptive elasticity, J. Elasticity, 6(3), 313-326, 1976.
    • (1976) J. Elasticity , vol.6 , Issue.3 , pp. 313-326
    • Cowin, S.C.1    Hegedus, D.H.2
  • 40
    • 0019424476 scopus 로고
    • Bone remodeling of diaphysial surfaces under constant load: Theoretical predictions
    • Cowin, S. C. and K. Firoozbakhsh, Bone remodeling of diaphysial surfaces under constant load: theoretical predictions, J. Biomech., 14(7), 471-484, 1981.
    • (1981) J. Biomech , vol.14 , Issue.7 , pp. 471-484
    • Cowin, S.C.1    Firoozbakhsh, K.2
  • 41
    • 0022672008 scopus 로고
    • Wolff’s law of trabecular architecture at remodeling equilibrium
    • Cowin, S. C., Wolff’s law of trabecular architecture at remodeling equilibrium, J. Biomech. Eng., 108(1), 83-88, 1986.
    • (1986) J. Biomech. Eng , vol.108 , Issue.1 , pp. 83-88
    • Cowin, S.C.1
  • 42
    • 0022602951 scopus 로고
    • Thermodynamic restrictions on the elastic constants of bone
    • Cowin, S. C. and W. C. Van Buskirk, Thermodynamic restrictions on the elastic constants of bone, J. Biomech., 19(1), 85-87, 1986.
    • (1986) J. Biomech , vol.19 , Issue.1 , pp. 85-87
    • Cowin, S.C.1    Van Buskirk, W.C.2
  • 43
    • 0023514428 scopus 로고
    • Bone remodeling of diaphyseal surfaces by torsional loads: Theoretical predictions
    • Cowin, S. C., Bone remodeling of diaphyseal surfaces by torsional loads: theoretical predictions, J. Biomech., 20(11-12), 1111-1120, 1987.
    • (1987) J. Biomech , vol.20 , Issue.11-12 , pp. 1111-1120
    • Cowin, S.C.1
  • 44
    • 0026816537 scopus 로고
    • An evolutionary Wolff’s law for trabecular architecture
    • Cowin, S. C., A. M. Sadegh, and G. M. Luo, An evolutionary Wolff’s law for trabecular architecture, J. Biomech. Eng., 114(1), 129-136, 1992.
    • (1992) J. Biomech. Eng , vol.114 , Issue.1 , pp. 129-136
    • Cowin, S.C.1    Sadegh, A.M.2    Luo, G.M.3
  • 45
    • 0022394257 scopus 로고
    • Functional adaptation in long bones: Establishing in vivo values for surface remodeling rate coefficients
    • Cowin, S. C., R. T. Hart, J. R. Balser, and D. H. Kohn, Functional adaptation in long bones: establishing in vivo values for surface remodeling rate coefficients, J. Biomech., 18(9), 665-684, 1985.
    • (1985) J. Biomech , vol.18 , Issue.9 , pp. 665-684
    • Cowin, S.C.1    Hart, R.T.2    Balser, J.R.3    Kohn, D.H.4
  • 46
    • 0025366226 scopus 로고
    • A theoretical study of the influence of bone maturation rate on surface remodeling predictions: Idealized models
    • Hart, R. T., A theoretical study of the influence of bone maturation rate on surface remodeling predictions: idealized models, J. Biomech., 23(3), 241-257, 1990.
    • (1990) J. Biomech , vol.23 , Issue.3 , pp. 241-257
    • Hart, R.T.1
  • 47
    • 33646983473 scopus 로고
    • Computational simulation of idealized long bone re-alignment
    • H. Power and R. T. Hart, Eds., Computational Mechanics Publications, Boston
    • Hart, R. T. and A. M. Rust-Dawicki, Computational simulation of idealized long bone re-alignment, in Computer Simulations in Biomedicine, H. Power and R. T. Hart, Eds., Computational Mechanics Publications, Boston, 1995, 341-350.
    • (1995) Computer Simulations in Biomedicine , pp. 341-350
    • Hart, R.T.1    Rust-Dawicki, A.M.2
  • 48
    • 85057277893 scopus 로고
    • A priori prediction of functional adaptation in canine radii using a cell based mechanistic approach
    • Orlando, FL
    • Oden, Z. M., R. T. Hart, M. R. Forwood, and D. B. Burr, A priori prediction of functional adaptation in canine radii using a cell based mechanistic approach, Trans. 41st Orthopaedic Research Society, Orlando, FL, 1995.
    • (1995) Trans. 41St Orthopaedic Research Society
    • Oden, Z.M.1    Hart, R.T.2    Forwood, M.R.3    Burr, D.B.4
  • 49
    • 3543131998 scopus 로고
    • Computer simulation of cortical bone remodeling
    • E. J. Pitcher, Ed., Computational Mechanics Publications, Boston
    • Hart, R. T., V. V. Hennebel, N. Thongpreda, and D. A. Dulitz, Computer simulation of cortical bone remodeling, in Science and Engineering on Supercomputers, E. J. Pitcher, Ed., Computational Mechanics Publications, Boston, 1990, 57-66, 565-566.
    • (1990) Science and Engineering on Supercomputers , vol.57-66 , pp. 565-566
    • Hart, R.T.1    Hennebel, V.V.2    Thongpreda, N.3    Dulitz, D.A.4
  • 51
    • 0002217724 scopus 로고
    • Theories of bone modeling and remodeling
    • S. C. Cowin, Ed., CRC Press, Boca Raton, FL, chap. 11
    • Hart, R. T. and D. T. Davy, Theories of bone modeling and remodeling, in Bone Mechanics, S. C. Cowin, Ed., CRC Press, Boca Raton, FL, 1989, chap. 11, 253-277.
    • (1989) Bone Mechanics , pp. 253-277
    • Hart, R.T.1    Davy, D.T.2
  • 52
    • 0015387858 scopus 로고
    • The effects of geometric feedback in the development of osteoporosis
    • Martin, R. B., The effects of geometric feedback in the development of osteoporosis, J. Biomech., 5(5), 447-455, 1972.
    • (1972) J. Biomech , vol.5 , Issue.5 , pp. 447-455
    • Martin, R.B.1
  • 53
    • 4243313672 scopus 로고
    • Computational Prediction of Functional Adaptation in Canine Radii
    • Department of Biomedical Engineering, Tulane University, New Orleans
    • Oden, Z. M., Computational Prediction of Functional Adaptation in Canine Radii, Ph.D. dissertation, Department of Biomedical Engineering, Tulane University, New Orleans, 1994.
    • (1994) Ph.D. Dissertation
    • Oden, Z.M.1
  • 54
    • 85057236863 scopus 로고
    • personal communication
    • Burr, D. B., personal communication, 1994.
    • (1994)
    • Burr, D.B.1
  • 55
    • 0023522742 scopus 로고
    • Mechanical loading history and skeletal biology
    • Carter, D. R., Mechanical loading history and skeletal biology, J. Biomech., 20(11-12), 1095-1109, 1987.
    • (1987) J. Biomech , vol.20 , Issue.11-12 , pp. 1095-1109
    • Carter, D.R.1
  • 56
    • 39149116804 scopus 로고
    • Computer simulation of the remodeling of trabecular bone
    • K. D. Held, C. A. Brebbia, and R. D. Ciskowski, Eds., Computational Mechanics Publications, Southampton
    • Baumgartner, A. and C. Mattheck, Computer simulation of the remodeling of trabecular bone, in Computers in Biomedicine, K. D. Held, C. A. Brebbia, and R. D. Ciskowski, Eds., Computational Mechanics Publications, Southampton, 1991, 291-296.
    • (1991) Computers in Biomedicine , pp. 291-296
    • Baumgartner, A.1    Mattheck, C.2
  • 57
    • 2442563405 scopus 로고
    • CAO: Computer simulation of adaptive growth in bones and trees
    • K. D. Held, C. A. Brebbia, and R. D. Ciskowski, Eds., Computational Mechanics Publications, Southampton
    • Mattheck, C. and H. Huber-Betzer, CAO: Computer simulation of adaptive growth in bones and trees, in Computers in Biomedicine, K. D. Held, C. A. Brebbia, and R. D. Ciskowski, Eds., Computational Mechanics Publications, Southampton, 1991, 243-252.
    • (1991) Computers in Biomedicine , pp. 243-252
    • Mattheck, C.1    Huber-Betzer, H.2
  • 59
    • 0028488953 scopus 로고
    • Prediction of bone adaptation using damage accumulation
    • Prendergast, P. J. and D. Taylor, Prediction of bone adaptation using damage accumulation, J. Biomech., 27(8), 1067-1076, 1994.
    • (1994) J. Biomech , vol.27 , Issue.8 , pp. 1067-1076
    • Prendergast, P.J.1    Taylor, D.2
  • 60
    • 0026605842 scopus 로고
    • Prediction of bone adaptation in the ulnar-osteotomized sheep’s forelimb using an anatomical finite element model
    • McNamara, B. P., P. J. Prendergast, and D. Taylor, Prediction of bone adaptation in the ulnar-osteotomized sheep’s forelimb using an anatomical finite element model, J. Biomed. Eng., 14(3), 209-216, 1992.
    • (1992) J. Biomed. Eng , vol.14 , Issue.3 , pp. 209-216
    • McNamara, B.P.1    Prendergast, P.J.2    Taylor, D.3
  • 61
    • 85057263551 scopus 로고
    • Department of Mechanical and Manufacturing Engineering, University of Dublin, Trinity College, Dublin
    • McNamara, B. P., Ph.D. dissertation, Department of Mechanical and Manufacturing Engineering, University of Dublin, Trinity College, Dublin, 1995.
    • (1995) Ph.D. Dissertation
    • McNamara, B.P.1
  • 62
  • 63
    • 85057229535 scopus 로고
    • personal communication
    • Cowin, S. C., personal communication, 1986.
    • (1986)
    • Cowin, S.C.1
  • 64
    • 0002017275 scopus 로고
    • The mechanical properties of cortical bone tissue
    • S. C. Cowin, Ed., CRC Press, Boca Raton, FL
    • Cowin, S. C., The mechanical properties of cortical bone tissue, in Bone Mechanics, S. C. Cowin, Ed., CRC Press, Boca Raton, FL, 1989, 97-128.
    • (1989) Bone Mechanics , pp. 97-128
    • Cowin, S.C.1
  • 65
    • 0021388724 scopus 로고
    • Characterization of microstructural anisotropy in orthopaedic materials using a second rank tensor
    • Harrigan, T. P. and R. W. Mann, Characterization of microstructural anisotropy in orthopaedic materials using a second rank tensor, J. Mater. Sci., 19, 761, 1984.
    • (1984) J. Mater. Sci , vol.19 , pp. 761
    • Harrigan, T.P.1    Mann, R.W.2
  • 66
    • 70349336540 scopus 로고
    • Bone Compliance and Its Effects in Human Hip Joint Lubrication
    • Department of Mechanical Engineering, Massachusetts Institute of Technology, Boston
    • Harrigan, T. P., Bone Compliance and Its Effects in Human Hip Joint Lubrication, Sc.D. dissertation, Department of Mechanical Engineering, Massachusetts Institute of Technology, Boston, 1985.
    • (1985) Sc.D. Dissertation
    • Harrigan, T.P.1
  • 67
    • 85019864525 scopus 로고
    • Computational Simulation of Trabecular Bone Adaptation
    • Department of Biomedical Engineering, Tulane University, New Orleans
    • Fritton, S. P., Computational Simulation of Trabecular Bone Adaptation, Ph.D. dissertation, Department of Biomedical Engineering, Tulane University, New Orleans, 1994.
    • (1994) Ph.D. Dissertation
    • Fritton, S.P.1
  • 69
    • 0023923019 scopus 로고
    • Limitations of the continuum assumption in cancellous bone
    • Harrigan, T. P., M. Jasty, R. W. Mann, and W. H. Harris, Limitations of the continuum assumption in cancellous bone, J. Biomech., 21(4), 269-275, 1988.
    • (1988) J. Biomech , vol.21 , Issue.4 , pp. 269-275
    • Harrigan, T.P.1    Jasty, M.2    Mann, R.W.3    Harris, W.H.4
  • 70
    • 0024566948 scopus 로고
    • Relationships between loading history and femoral cancellous bone architecture
    • Carter, D. R., T. E. Orr, and D. P. Fyhrie, Relationships between loading history and femoral cancellous bone architecture, J. Biomech., 22(3), 231-244, 1989.
    • (1989) J. Biomech , vol.22 , Issue.3 , pp. 231-244
    • Carter, D.R.1    Orr, T.E.2    Fyhrie, D.P.3
  • 71
    • 0025486317 scopus 로고
    • An approach for time-dependent bone modeling and remodeling—theoretical development
    • Beaupré, G. S., T. E. Orr, and D. R. Carter, An approach for time-dependent bone modeling and remodeling—theoretical development, J. Orthop. Res., 8(5), 651-661, 1990.
    • (1990) J. Orthop. Res , vol.8 , Issue.5 , pp. 651-661
    • Beaupré, G.S.1    Orr, T.E.2    Carter, D.R.3
  • 72
    • 0021294884 scopus 로고
    • Porosity and specific surface of bone
    • Martin, R. B., Porosity and specific surface of bone, Crit. Rev. Biomed. Eng., 10(3), 179-222, 1984.
    • (1984) Crit. Rev. Biomed. Eng , vol.10 , Issue.3 , pp. 179-222
    • Martin, R.B.1
  • 73
    • 77954660905 scopus 로고
    • Comparing an optimal efficiency assumption to a principal stress-based formulation for the simulation of anisotropic bone adaptation to mechanical loading
    • A. Odgaard and H. Weinans, Eds., World Scientific, Singapore
    • Jacobs, C. R., J. C. Simo, G. B. Beaupré, and D. R. Carter, Comparing an optimal efficiency assumption to a principal stress-based formulation for the simulation of anisotropic bone adaptation to mechanical loading, in Bone Structure and Remodeling, A. Odgaard and H. Weinans, Eds., World Scientific, Singapore, 1995, 225-237.
    • (1995) Bone Structure and Remodeling , pp. 225-237
    • Jacobs, C.R.1    Simo, J.C.2    Beaupré, G.B.3    Carter, D.R.4
  • 74
    • 0025484692 scopus 로고
    • An approach for time-dependent bone modeling and remodeling—application: A preliminary remodeling simulation
    • Beaupré, G. S., T. E. Orr, and D. R. Carter, An approach for time-dependent bone modeling and remodeling—application: a preliminary remodeling simulation, J. Orthop. Res., 8(5), 662-670, 1990.
    • (1990) J. Orthop. Res , vol.8 , Issue.5 , pp. 662-670
    • Beaupré, G.S.1    Orr, T.E.2    Carter, D.R.3
  • 75
    • 0001267349 scopus 로고    scopus 로고
    • The false premise of Wolff’s law
    • Cowin, S. C., The false premise of Wolff’s law, Forma, 12, 247-262, 1997.
    • (1997) Forma , vol.12 , pp. 247-262
    • Cowin, S.C.1
  • 76
    • 0026970492 scopus 로고
    • The behavior of adaptive bone-remodeling simulation models
    • Weinans, H., R. Huiskes, and H. J. Grootenboer, The behavior of adaptive bone-remodeling simulation models, J. Biomech., 25(12), 1425-1441, 1992.
    • (1992) J. Biomech , vol.25 , Issue.12 , pp. 1425-1441
    • Weinans, H.1    Huiskes, R.2    Grootenboer, H.J.3
  • 77
    • 0026464525 scopus 로고
    • Effects of material properties of femoral hip components on bone remodeling
    • Weinans, H., R. Huiskes, and H. J. Grootenboer, Effects of material properties of femoral hip components on bone remodeling, J. Orthop. Res., 10(6), 845-853, 1992.
    • (1992) J. Orthop. Res , vol.10 , Issue.6 , pp. 845-853
    • Weinans, H.1    Huiskes, R.2    Grootenboer, H.J.3
  • 80
    • 0017698252 scopus 로고
    • The compressive behavior of bone as a two-phase porous structure
    • Carter, D. R. and W. C. Hayes, The compressive behavior of bone as a two-phase porous structure, J. Bone Joint Surg. [Am.], 59(7), 954-962, 1977.
    • (1977) J. Bone Joint Surg. [Am.] , vol.59 , Issue.7 , pp. 954-962
    • Carter, D.R.1    Hayes, W.C.2
  • 81
    • 0026864084 scopus 로고
    • An analytical and numerical study of the stability of bone remodelling theories: Dependence on microstructural stimulus [published erratum appears in J. Biomech. 26(3), 3656, 1993]
    • Harrigan, T. P. and J. J. Hamilton, An analytical and numerical study of the stability of bone remodelling theories: dependence on microstructural stimulus [published erratum appears in J. Biomech., 26(3), 3656, 1993], J. Biomech., 25(5), 477-488, 1992.
    • (1992) J. Biomech , vol.25 , Issue.5 , pp. 477-488
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 82
    • 0027656943 scopus 로고
    • Chaos in the discrete-time algorithm for bone-density remodeling rate equations
    • Cowin, S. C., Y. P. Arramon, G. M. Luo, and A. M. Sadegh, Chaos in the discrete-time algorithm for bone-density remodeling rate equations, J. Biomech., 26(9), 1077-1089, 1993.
    • (1993) J. Biomech , vol.26 , Issue.9 , pp. 1077-1089
    • Cowin, S.C.1    Arramon, Y.P.2    Luo, G.M.3    Sadegh, A.M.4
  • 83
    • 0029278121 scopus 로고
    • Numerical instabilities in bone remodeling simulations: The advantages of a node-based finite element approach
    • Jacobs, C. R., M. E. Levenston, G. S. Beaupré, J. C. Simo, and D. R. Carter, Numerical instabilities in bone remodeling simulations: the advantages of a node-based finite element approach, J. Biomech., 28(4), 449-459, 1995.
    • (1995) J. Biomech , vol.28 , Issue.4 , pp. 449-459
    • Jacobs, C.R.1    Levenston, M.E.2    Beaupré, G.S.3    Simo, J.C.4    Carter, D.R.5
  • 85
    • 0003915726 scopus 로고
    • Reports 69, Danish Center for Applied Mathematics and Mechanics, Technical University of Denmark, Lyngby
    • Sigmund, O., Design of Material Structures Using Topology Optimization, Reports 69, Danish Center for Applied Mathematics and Mechanics, Technical University of Denmark, Lyngby, 1994.
    • (1994) Design of Material Structures Using Topology Optimization
    • Sigmund, O.1
  • 87
    • 0028533399 scopus 로고
    • A physiological approach to the simulation of bone remodeling as a self-organizational control process
    • Mullender, M. G., R. Huiskes, and H. Weinans, A physiological approach to the simulation of bone remodeling as a self-organizational control process, J. Biomech., 27(11), 1389-1394, 1994.
    • (1994) J. Biomech , vol.27 , Issue.11 , pp. 1389-1394
    • Mullender, M.G.1    Huiskes, R.2    Weinans, H.3
  • 88
    • 0029134676 scopus 로고
    • Proposal for the regulatory mechanism of Wolff’s law
    • Mullender, M. G. and R. Huiskes, Proposal for the regulatory mechanism of Wolff’s law, J. Orthop. Res., 13(4), 503-512, 1995.
    • (1995) J. Orthop. Res , vol.13 , Issue.4 , pp. 503-512
    • Mullender, M.G.1    Huiskes, R.2
  • 89
    • 0031194745 scopus 로고    scopus 로고
    • Surface remodeling of trabecular bone using a tissue level model
    • Smith, T. S., R. B. Martin, M. Hubbard, and B. K. Bay, Surface remodeling of trabecular bone using a tissue level model, J. Orthop. Res., 15(4), 593-600, 1997.
    • (1997) J. Orthop. Res , vol.15 , Issue.4 , pp. 593-600
    • Smith, T.S.1    Martin, R.B.2    Hubbard, M.3    Bay, B.K.4
  • 90
    • 0029347529 scopus 로고
    • Implementation of strain rate as a bone remodeling stimulus
    • Luo, G., S. C. Cowin, A. M. Sadegh, and Y. P. Arramon, Implementation of strain rate as a bone remodeling stimulus, J. Biomech. Eng., 117(3), 329-338, 1995.
    • (1995) J. Biomech. Eng , vol.117 , Issue.3 , pp. 329-338
    • Luo, G.1    Cowin, S.C.2    Sadegh, A.M.3    Arramon, Y.P.4
  • 91
    • 0002382880 scopus 로고
    • The validation of algorithms used to explain adaptive remodelling in bone
    • A. Odgaard and H. Weinans, Eds., World Scientific, Singapore
    • Currey, J. D., The validation of algorithms used to explain adaptive remodelling in bone, in Bone Structure and Remodelling, A. Odgaard and H. Weinans, Eds., World Scientific, Singapore, 1995, 9-13.
    • (1995) Bone Structure and Remodelling , pp. 9-13
    • Currey, J.D.1
  • 92
    • 85057293715 scopus 로고
    • Correlation between mechanical parameters that represent bone’s mechanical milieu and control functional adaptation
    • A. Odgaard and H. Weinans, Eds., World Scientific, Singapore
    • Oden, Z. M. and R. T. Hart, 1995, Correlation between mechanical parameters that represent bone’s mechanical milieu and control functional adaptation, in Bone Structure and Remodeling: Recent Advances in Human Biology, vol. 2, A. Odgaard and H. Weinans, Eds., World Scientific, Singapore, 1995, ix, 257.
    • (1995) Bone Structure and Remodeling: Recent Advances in Human Biology , vol.2 , Issue.9 , pp. 257
    • Oden, Z.M.1    Hart, R.T.2
  • 93
    • 0022398880 scopus 로고
    • The usefulness of mathematical models for bone remodeling
    • Martin, R. B., The usefulness of mathematical models for bone remodeling, Yearbook Phys. Anthro-pol, 28, 227-236, 1985.
    • (1985) Yearbook Phys. Anthro-Pol , vol.28 , pp. 227-236
    • Martin, R.B.1
  • 94
    • 0002128019 scopus 로고
    • The law of adaptive bone remodelling: A case for crying Newton?
    • A. Odgaard and H. Weinans, Eds., World Scientific, Singapore
    • Huiskes, R., The law of adaptive bone remodelling: a case for crying Newton? in Bone Structure and Remodelling, A. Odgaard and H. Weinans, Eds., World Scientific, Singapore, 1995, 15-24.
    • (1995) Bone Structure and Remodelling , pp. 15-24
    • Huiskes, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.