Stress-modulated remodeling of a non-homogeneous body

Biomechanics and Modeling in Mechanobiology

Volumn 7, Issue 1, 2008, Pages 63-76

  Ambrosi, D ^a   Guillou, A ^a   Di Martino, E S ^b  

^a POLITECNICO DI TORINO   (Italy)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Elasticity; Growth; Non homogeneous body; Numerical simulation; Remodeling; Soft tissues

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; MATHEMATICAL MODELS; TISSUE;

NON-HOMOGENEOUS BODY; REMODELING; SOFT TISSUES;

BIOMEDICAL ENGINEERING;

ARTICLE; HOMEOSTASIS; THEORETICAL MODEL;

HOMEOSTASIS; MODELS, THEORETICAL;

EID: 38149062817     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-007-0076-z     Document Type: Article

References (31)

1. Ambrosi D, Guana F (2007) Stress-modulated growth. Math Mech Solids (in press)
2. Anidjar S, Dobrin PB, Eichorst M, Graham GP, Chejfec G (1992) Correlation of inflammatory infiltrate with the enlargement of experimental aortic aneurysms. J Vasc Surg 16:139-147
3. Baek S, Rajagopal KR, Humphrey JD (2006) A theoretical model of enlarging intracranial fusiform aneurysms. J Biomech Eng 128:142-149
4. Ben Amar M, Goriely A (2005) Growth and instabilities in elastic tissues. J Mech Phys Solids 53:2284-2319
5. Bochev PB, Lehoucq RB (2006) Regularization and stabilization of discrete saddle-point variational problems. Electron Trans Numer Anal 22:97-113
6. DiCarlo A, Quiligotti S (2002) Growth and balance. Mech Res Commun 29:449-456
7. Elger D, Blackketter D, Budwig R, Johansen K (1996) The influence of shape on the stresses in model abdominal aortic aneurysms. J Biomech Engr 118:326-332
8. Freestone T, Turner RJ, Coady A, Higman DJ, Greenhalgh RM, Powell JT (1995) Inflammation and matrix metalloproteinases in the enlarging abdominal aortic aneurysm. Arterioscler Thromb Vasc Biol 15:1145-1151
9. Fung YC (1981) Biomechanics. Springer, New York
10. Fung YC (1984) Biodynamics: circulation. Springer, New York
11. Fusi L, Farina A, Ambrosi D (2006) Mathematical modelling of a solid-liquid mixture with mass exchange between constituents. Math Mech Solids 11(6):575-595
12. He CM, Roach MR (1994) The composition and mechanical properties of abdominal aortic aneurysms. J Vasc Surg 20:6-13
13. Humphrey JD (1995) Mechanics of the arterial wall: review and directions. Critical Rev Biomed Eng 23(1/2):1-162
14. Humphrey JD (2003) Continuum biomechanics of soft biological tissues. Proc R Soc 459:3-46
15. Humphrey JD, Canham PB (2000) Structure, mechanical properties and mechanics of intercranial saccular aneurysms. J Elast 61:49-81
16. Kuhl E, Menzel A, Steinmann P (2003) Computational modeling of growth: a critical review, a classification of concepts and two new consistent approaches. Comput Mech 32:71-88
17. Loret B, Simões MF (2005) A framework for deformation, generalized diffusion, mass transfer and growth in multi-species multi-phase biological tissues. Eur J Mech A Solids 24:757-781
18. Liu SQ, Fung YC (1989) Relationship between hypertension, hypertrophy, and opening angle of zero-stress state of arteries following aortic constriction. J Biomech Eng 111:325-335
19. Liu SQ, Fung YC (1991) Changes in the zero-stress state of rat pulmonary arteries in hypoxic hypertension. J Appl Physiol 70:2455-2470
20. Matsumoto T, Hayashi K (1994) Mechanical and dimensional adaptation of rat aorta to hypertension. J Biomech Eng 116:278-283
21. Ogden RW (2003) Nonlinear elasticity with application to material modelling. Lecture notes vol. 6. Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw
22. Rachev A, Stergiopulos N, Meister J (1998) A model for geometric and mechanical adaptation of arteries to sustained hypertension. J Biomech 120:9-17
23. Rodriguez EK, Hoger A, McCulloch A (1994) Stress dependent finite growth in soft elastic tissues. J Biomech 27:455-467
24. Sacks MS, Vorp DA, Raghavan ML, Federle MP, Webster MW (1999) In vivo three-dimensional surface geometry of abdominal aortic aneurysms. Ann Biomed Eng 27:469-480
25. Scott S, Ferguson GG, Roach MR (1972) Comparison of the elastic properties of human intercranial arteries and aneurysms. Can J Physiol Pharmacol 50:328-332
26. Skalak R, Dasgupta G, Moss M, Otten E, Dullemeijer P, Vilmann H (1982) Analytical description of growth. J Theor Biol 94:555-577
27. Taber LA (1998) A model for aortic growth based on fluid shear and fiber stresses. J Biomech Eng 120:348-354
28. Taber L, Eggers DW (1996) Theoretical study of stress modulated growth in the aorta. J Theor Biol 180:343-357
29. Taber L, Humphrey JD (2001) Stress-modulated growth, residual stress and vascular heterogeneity. ASME J Biomech Eng 123:528-535
30. Vande Geest JP, Sacks MS, Vorp DA (2004) Age dependency of the biaxial biomechanical behavior of human abdominal aorta. J Biomech Eng 126:815-822
31. Vossoughi J, Hedjazi H, Borris FS (1993) Intimal residual stress and strain in large arteries. ASME Bioeng Conf 24:434-437