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Volumn 2, Issue 5, 2006, Pages 493-504

Stresses in growing soft tissues

Author keywords

Artery; Growth; Residual stresses; Soft tissue; Tumor

Indexed keywords

HISTOLOGY; RESIDUAL STRESSES;

EID: 33746812210     PISSN: 17427061     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actbio.2006.04.002     Document Type: Article
Times cited : (50)

References (59)
  • 1
    • 0001468579 scopus 로고
    • The influence of mechanical loads on the form of a growing elastic body
    • Hsu F.H. The influence of mechanical loads on the form of a growing elastic body. J Biomech 1 (1968) 303-311
    • (1968) J Biomech , vol.1 , pp. 303-311
    • Hsu, F.H.1
  • 2
    • 0001773156 scopus 로고
    • Growth as a finite displacement field
    • Carlson D.E., and Shield R.T. (Eds), Martinus Nijhoff Publishers, Dordrecht
    • Skalak R. Growth as a finite displacement field. In: Carlson D.E., and Shield R.T. (Eds). Proceedings of the IUTAM symposium on finite elasticity (1982), Martinus Nijhoff Publishers, Dordrecht 347-355
    • (1982) Proceedings of the IUTAM symposium on finite elasticity , pp. 347-355
    • Skalak, R.1
  • 6
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissues
    • Rodriguez E.K., Hoger A., and McCulloch A.D. Stress-dependent finite growth in soft elastic tissues. J Biomech 27 (1994) 455-467
    • (1994) J Biomech , vol.27 , pp. 455-467
    • Rodriguez, E.K.1    Hoger, A.2    McCulloch, A.D.3
  • 7
    • 85015553125 scopus 로고
    • Biomechanics of growth, remodeling, and morphogenesis
    • Taber L.A. Biomechanics of growth, remodeling, and morphogenesis. Appl Mech Rev 48 (1995) 487-545
    • (1995) Appl Mech Rev , vol.48 , pp. 487-545
    • Taber, L.A.1
  • 8
    • 0034445464 scopus 로고    scopus 로고
    • Constitutive functions of elastic materials in finite growth and deformation
    • Chen Y.C., and Hoger A. Constitutive functions of elastic materials in finite growth and deformation. J Elast 59 (2000) 175-193
    • (2000) J Elast , vol.59 , pp. 175-193
    • Chen, Y.C.1    Hoger, A.2
  • 9
    • 0033750776 scopus 로고    scopus 로고
    • Thermomechanics of volumetric growth in uniform bodies
    • Epstein M., and Maugin G. Thermomechanics of volumetric growth in uniform bodies. Int J Plast 16 (2000) 951-978
    • (2000) Int J Plast , vol.16 , pp. 951-978
    • Epstein, M.1    Maugin, G.2
  • 10
    • 0034435085 scopus 로고    scopus 로고
    • A model of arterial adaptation to alterations in blood flow
    • Rachev A. A model of arterial adaptation to alterations in blood flow. J Elast 61 (2000) 83-111
    • (2000) J Elast , vol.61 , pp. 83-111
    • Rachev, A.1
  • 11
    • 0034434614 scopus 로고    scopus 로고
    • Modeling heart development
    • Taber L.A., and Perucchio R. Modeling heart development. J Elast 61 (2000) 165-197
    • (2000) J Elast , vol.61 , pp. 165-197
    • Taber, L.A.1    Perucchio, R.2
  • 12
    • 0012692680 scopus 로고    scopus 로고
    • A theory of adaptive growth of biological materials
    • Kuhn S., and Hauger W. A theory of adaptive growth of biological materials. Arch Appl Mech 70 (2000) 183-192
    • (2000) Arch Appl Mech , vol.70 , pp. 183-192
    • Kuhn, S.1    Hauger, W.2
  • 13
    • 0035577186 scopus 로고    scopus 로고
    • A theory of volumetric growth for compressible elastic biological materials
    • Klisch S.M., Van Dyke T.J., and Hoger A. A theory of volumetric growth for compressible elastic biological materials. Math Mech Solids 6 (2001) 551-575
    • (2001) Math Mech Solids , vol.6 , pp. 551-575
    • Klisch, S.M.1    Van Dyke, T.J.2    Hoger, A.3
  • 15
    • 1542722163 scopus 로고    scopus 로고
    • Mass- and volume-specific views on thermodynamics for open systems
    • Kuhl E., and Steinman P. Mass- and volume-specific views on thermodynamics for open systems. Proc R Soc London A 459 (2003) 2547-2568
    • (2003) Proc R Soc London A , vol.459 , pp. 2547-2568
    • Kuhl, E.1    Steinman, P.2
  • 16
    • 2442623475 scopus 로고    scopus 로고
    • A continuum treatment of growth in soft biological tissues: the coupling of mass transport and mechanics
    • Garikipati K., Arruda E.M., Grosh K., Narayanan H., and Calve S. A continuum treatment of growth in soft biological tissues: the coupling of mass transport and mechanics. J Mech Phys Solids 52 (2004) 1595-1625
    • (2004) J Mech Phys Solids , vol.52 , pp. 1595-1625
    • Garikipati, K.1    Arruda, E.M.2    Grosh, K.3    Narayanan, H.4    Calve, S.5
  • 17
    • 16244380844 scopus 로고    scopus 로고
    • Modeling of anisotropic growth in biological tissues
    • Menzel A. Modeling of anisotropic growth in biological tissues. Biomech Model Mechanobiol 3 (2005) 147-171
    • (2005) Biomech Model Mechanobiol , vol.3 , pp. 147-171
    • Menzel, A.1
  • 18
    • 0042092264 scopus 로고    scopus 로고
    • Volumetric growth of thermoelastic materials and mixtures
    • Klisch S.M., and Hoger A. Volumetric growth of thermoelastic materials and mixtures. Math Mech Solids 8 (2003) 337-402
    • (2003) Math Mech Solids , vol.8 , pp. 337-402
    • Klisch, S.M.1    Hoger, A.2
  • 19
    • 0037398739 scopus 로고    scopus 로고
    • A growth mixture theory for cartilage with application to growth-related experiments on cartilage explants
    • Klisch S.M., Chen S.S., Sah R.L., and Hoger A. A growth mixture theory for cartilage with application to growth-related experiments on cartilage explants. J Biomech Eng 125 (2003) 169-179
    • (2003) J Biomech Eng , vol.125 , pp. 169-179
    • Klisch, S.M.1    Chen, S.S.2    Sah, R.L.3    Hoger, A.4
  • 20
    • 21544465340 scopus 로고    scopus 로고
    • A cartilage growth mixture model for infinitesimal strains: solutions of boundary-value problems related to in vitro growth experiments
    • Klisch S.M., Sah R.L., and Hoger A. A cartilage growth mixture model for infinitesimal strains: solutions of boundary-value problems related to in vitro growth experiments. Biomech Model Mechanobiol 3 (2005) 209-223
    • (2005) Biomech Model Mechanobiol , vol.3 , pp. 209-223
    • Klisch, S.M.1    Sah, R.L.2    Hoger, A.3
  • 21
    • 21844459601 scopus 로고    scopus 로고
    • A simple phenomenological theory of tissue growth
    • Volokh K.Y. A simple phenomenological theory of tissue growth. Mol Cell Biomech 1 (2004) 147-160
    • (2004) Mol Cell Biomech , vol.1 , pp. 147-160
    • Volokh, K.Y.1
  • 22
    • 21844454703 scopus 로고    scopus 로고
    • Growth, anisotropy, and residual stresses in arteries
    • Volokh K.Y., and Lev Y. Growth, anisotropy, and residual stresses in arteries. Mol Cell Biomech 2 (2005) 27-40
    • (2005) Mol Cell Biomech , vol.2 , pp. 27-40
    • Volokh, K.Y.1    Lev, Y.2
  • 23
    • 84895242315 scopus 로고    scopus 로고
    • Growth in soft biological tissue and residual stress development
    • Mechanics of biological tissue. Holzapfel G.A., and Ogden R.W. (Eds), Springer
    • Guillou A., and Ogden R.W. Growth in soft biological tissue and residual stress development. In: Holzapfel G.A., and Ogden R.W. (Eds). Mechanics of biological tissue. Proceedings of the IUTAM symposium, Graz, Austria, June-July 2004 (2006), Springer 47-62
    • (2006) Proceedings of the IUTAM symposium, Graz, Austria, June-July 2004 , pp. 47-62
    • Guillou, A.1    Ogden, R.W.2
  • 24
    • 0002587798 scopus 로고
    • The Gompertz curve as a growth curve
    • Winsor C.P. The Gompertz curve as a growth curve. PNAS 18 (1932) 1-7
    • (1932) PNAS , vol.18 , pp. 1-7
    • Winsor, C.P.1
  • 25
    • 0003293418 scopus 로고
    • On the nature of the function expressive of the law of human mortality, and on the new mode of determining the value of life contingencies
    • Gompertz G. On the nature of the function expressive of the law of human mortality, and on the new mode of determining the value of life contingencies. Philos Trans Royal Soc London 115 (1825) 513-585
    • (1825) Philos Trans Royal Soc London , vol.115 , pp. 513-585
    • Gompertz, G.1
  • 27
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumor growth: the contribution of mathematical modeling
    • Araujo R.P., and McElwain D.L.S. A history of the study of solid tumor growth: the contribution of mathematical modeling. Bull Math Biol 66 (2004) 1039-1091
    • (2004) Bull Math Biol , vol.66 , pp. 1039-1091
    • Araujo, R.P.1    McElwain, D.L.S.2
  • 28
    • 0027604157 scopus 로고
    • Cell migration in multicell spheroids: swimming against the tide
    • McElwain D.L.S., and Pettet G.J. Cell migration in multicell spheroids: swimming against the tide. Bull Math Biol 55 (1993) 655-674
    • (1993) Bull Math Biol , vol.55 , pp. 655-674
    • McElwain, D.L.S.1    Pettet, G.J.2
  • 29
    • 0023518620 scopus 로고
    • A mathematical model of tumor growth. II Effects of geometry and spatial uniformity on stability
    • Adam J.A. A mathematical model of tumor growth. II Effects of geometry and spatial uniformity on stability. Math Biosci 86 (1987) 183-211
    • (1987) Math Biosci , vol.86 , pp. 183-211
    • Adam, J.A.1
  • 30
    • 0029294735 scopus 로고
    • Mathematical models for tumor angiogenesis: numerical simulations and nonlinear wave solutions
    • Byrne H.M., and Chaplain M.A.J. Mathematical models for tumor angiogenesis: numerical simulations and nonlinear wave solutions. Bull Math Biol 57 (1995) 461-486
    • (1995) Bull Math Biol , vol.57 , pp. 461-486
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 31
    • 0030431867 scopus 로고    scopus 로고
    • Modeling the role of cell-cell adhesion in the growth and development of carcinomas
    • Byrne H.M., and Chaplain M.A.J. Modeling the role of cell-cell adhesion in the growth and development of carcinomas. Math Comp Model 24 (1996) 1-17
    • (1996) Math Comp Model , vol.24 , pp. 1-17
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 32
    • 0000128125 scopus 로고
    • Models for the growth of a solid tumor by diffusion
    • Greenspan H.P. Models for the growth of a solid tumor by diffusion. Stud Appl Math 52 (1972) 317-340
    • (1972) Stud Appl Math , vol.52 , pp. 317-340
    • Greenspan, H.P.1
  • 33
    • 0017806209 scopus 로고
    • Apoptosis as a volume loss mechanism in mathematical models of solid tumor growth
    • McElwain D.L.S., and Morris L.E. Apoptosis as a volume loss mechanism in mathematical models of solid tumor growth. Math Biosci 39 (1978) 147-157
    • (1978) Math Biosci , vol.39 , pp. 147-157
    • McElwain, D.L.S.1    Morris, L.E.2
  • 34
    • 0031087466 scopus 로고    scopus 로고
    • Mathematical modeling of avascular tumor growth
    • Ward J.P., and King J.R. Mathematical modeling of avascular tumor growth. IMA J Math Appl Med Biol 14 (1997) 39-69
    • (1997) IMA J Math Appl Med Biol , vol.14 , pp. 39-69
    • Ward, J.P.1    King, J.R.2
  • 35
    • 0032170064 scopus 로고    scopus 로고
    • Continuous and discrete mathematical models of tumor-induced angiogenesis
    • Anderson A.R.A., and Chaplain M.A.J. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull Math Biol 60 (1998) 857-899
    • (1998) Bull Math Biol , vol.60 , pp. 857-899
    • Anderson, A.R.A.1    Chaplain, M.A.J.2
  • 36
    • 0031230846 scopus 로고    scopus 로고
    • Two-dimensional models of tumor angiogenesis and anti-angiogenesis strategies
    • Orme M.E., and Chaplain M.A.J. Two-dimensional models of tumor angiogenesis and anti-angiogenesis strategies. IMA J Math Appl Med Biol 14 (1997) 189-205
    • (1997) IMA J Math Appl Med Biol , vol.14 , pp. 189-205
    • Orme, M.E.1    Chaplain, M.A.J.2
  • 37
    • 0031777161 scopus 로고    scopus 로고
    • Fluid transport in vascularized tumors and metastasis
    • Sleeman B.D., and Nimmo H.R. Fluid transport in vascularized tumors and metastasis. IMA J Math Appl Med Biol 15 (1997) 53-63
    • (1997) IMA J Math Appl Med Biol , vol.15 , pp. 53-63
    • Sleeman, B.D.1    Nimmo, H.R.2
  • 38
    • 0034954975 scopus 로고    scopus 로고
    • Tumor dynamics and necrosis: surface tension and stability
    • Landman K.A., and Please C.P. Tumor dynamics and necrosis: surface tension and stability. IMA J Math Appl Med Biol 18 (2001) 131-158
    • (2001) IMA J Math Appl Med Biol , vol.18 , pp. 131-158
    • Landman, K.A.1    Please, C.P.2
  • 39
    • 0002498348 scopus 로고    scopus 로고
    • A new approach to modeling the formation of necrotic regions in tumors
    • Please C.P., Pettet G.J., and McElwain D.L.S. A new approach to modeling the formation of necrotic regions in tumors. Appl Math Lett 11 (1998) 89-94
    • (1998) Appl Math Lett , vol.11 , pp. 89-94
    • Please, C.P.1    Pettet, G.J.2    McElwain, D.L.S.3
  • 41
    • 0035462048 scopus 로고    scopus 로고
    • The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids
    • Chen C.Y., Byrne H.M., and King J.R. The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids. Math Biol 43 (2001) 191-200
    • (2001) Math Biol , vol.43 , pp. 191-200
    • Chen, C.Y.1    Byrne, H.M.2    King, J.R.3
  • 42
    • 0034204267 scopus 로고    scopus 로고
    • A mathematical model of stress induced during avascular tumor growth
    • Jones A.F., Byrne H.M., Gibson J.S., and Dold J.W. A mathematical model of stress induced during avascular tumor growth. Math Biol 40 (2000) 473-499
    • (2000) Math Biol , vol.40 , pp. 473-499
    • Jones, A.F.1    Byrne, H.M.2    Gibson, J.S.3    Dold, J.W.4
  • 43
    • 0036111747 scopus 로고    scopus 로고
    • Multiphase mechanics of capsule formation in tumors
    • Lubkin S.R., and Jackson T. Multiphase mechanics of capsule formation in tumors. J Biomech Eng 124 (2002) 237-243
    • (2002) J Biomech Eng , vol.124 , pp. 237-243
    • Lubkin, S.R.1    Jackson, T.2
  • 44
    • 0242426536 scopus 로고    scopus 로고
    • Solid stress generated by spheroid growth estimated using a linear poroelasticity model
    • Roose T., Netti P.A., Munn L.L., Boucher Y., and Jain R.K. Solid stress generated by spheroid growth estimated using a linear poroelasticity model. Microvasc Res 66 (2003) 204-212
    • (2003) Microvasc Res , vol.66 , pp. 204-212
    • Roose, T.1    Netti, P.A.2    Munn, L.L.3    Boucher, Y.4    Jain, R.K.5
  • 45
    • 0036644705 scopus 로고    scopus 로고
    • On the mechanics of a growing tumor
    • Ambrosi D., and Mollica F. On the mechanics of a growing tumor. Int J Eng Sci 40 (2002) 1297-1316
    • (2002) Int J Eng Sci , vol.40 , pp. 1297-1316
    • Ambrosi, D.1    Mollica, F.2
  • 46
    • 2542444181 scopus 로고    scopus 로고
    • The role of stress in the growth of a multicell spheroid
    • Ambrosi D., and Mollica F. The role of stress in the growth of a multicell spheroid. J Math Biol 48 (2004) 477-499
    • (2004) J Math Biol , vol.48 , pp. 477-499
    • Ambrosi, D.1    Mollica, F.2
  • 48
    • 0004224321 scopus 로고
    • Acker H., Carlsson J., Durand R., and Sutherland R.M. (Eds), Springer-Verlag, Berlin
    • In: Acker H., Carlsson J., Durand R., and Sutherland R.M. (Eds). Spheroids in cancer research (1984), Springer-Verlag, Berlin
    • (1984) Spheroids in cancer research
  • 49
    • 0024281372 scopus 로고
    • Cell and environment interactions in tumor microregions: the multicell spheroid model
    • Sutherland R.M. Cell and environment interactions in tumor microregions: the multicell spheroid model. Science 240 (1988) 177-184
    • (1988) Science , vol.240 , pp. 177-184
    • Sutherland, R.M.1
  • 50
    • 0022715208 scopus 로고
    • On residual stress in arteries
    • Chuong C.J., and Fung Y.C. On residual stress in arteries. J Biomech Eng 108 (1986) 189-192
    • (1986) J Biomech Eng , vol.108 , pp. 189-192
    • Chuong, C.J.1    Fung, Y.C.2
  • 51
    • 0021359596 scopus 로고
    • Compressibility and constitutive relation of arterial wall in radial experiments
    • Chuong C.J., and Fung Y.C. Compressibility and constitutive relation of arterial wall in radial experiments. J Biomech 17 (1984) 35-40
    • (1984) J Biomech , vol.17 , pp. 35-40
    • Chuong, C.J.1    Fung, Y.C.2
  • 52
    • 0025894894 scopus 로고
    • What are the residual stresses doing in our blood vessels
    • Fung Y.C. What are the residual stresses doing in our blood vessels. Ann Biomed Eng 19 (1991) 237-249
    • (1991) Ann Biomed Eng , vol.19 , pp. 237-249
    • Fung, Y.C.1
  • 55
    • 0037402768 scopus 로고    scopus 로고
    • Residual strains in conduit arteries
    • Rachev A., and Greenwald S.E. Residual strains in conduit arteries. J Biomech 36 (2003) 661-670
    • (2003) J Biomech , vol.36 , pp. 661-670
    • Rachev, A.1    Greenwald, S.E.2
  • 56
    • 0029588438 scopus 로고
    • Effect of age and stress on residual stress in aorta
    • Saini A., Berry C., and Greenwald S.E. Effect of age and stress on residual stress in aorta. J Vasc Res 32 (1995) 398-405
    • (1995) J Vasc Res , vol.32 , pp. 398-405
    • Saini, A.1    Berry, C.2    Greenwald, S.E.3
  • 57
    • 0023259257 scopus 로고
    • Residual stress and strain in aortic segments
    • Vaishnav R.N., and Vossoughi J. Residual stress and strain in aortic segments. J Biomech 20 (1987) 235-239
    • (1987) J Biomech , vol.20 , pp. 235-239
    • Vaishnav, R.N.1    Vossoughi, J.2
  • 59
    • 33646381656 scopus 로고    scopus 로고
    • Tissue morphogenesis: a surface buckling mechanism
    • Volokh K.Y. Tissue morphogenesis: a surface buckling mechanism. Int J Devel Biol 50 (2006) 359-365
    • (2006) Int J Devel Biol , vol.50 , pp. 359-365
    • Volokh, K.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.