Growth, anisotropy, and residual stresses in arteries

MCB Mechanics and Chemistry of Biosystems

Volumn 2, Issue 1, 2005, Pages 27-40

  Volokh, K Y ^a,b   Lev, Y ^b  

^a JOHNS HOPKINS UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Anisotropy; Artery; Continuum mechanics; Growth; Nonlinear elasticity; Residual stress

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONTINUUM MECHANICS; ELASTICITY; GROWTH (MATERIALS); RESIDUAL STRESSES; TISSUE; BLOOD VESSELS; NEGATIVE IONS; STRENGTH OF MATERIALS; STRESSES;

ARTERY; NONLINEAR ELASTICITY; TISSUE GROWTH; BENDING; GROWTH; IN VITRO; MATERIAL ANISOTROPIES; PHENOMENOLOGICAL THEORIES; RESIDUAL STRSS; RING OPENINGS; TISSUE GROWTHS; VOLUMETRIC GROWTHS;

BLOOD VESSELS; ANISOTROPY;

FREE RADICAL;

ANIMAL; ANISOTROPY; ARTERY; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; BIOPHYSICS; BLOOD VESSEL; CELL PROLIFERATION; ELASTICITY; GROWTH, DEVELOPMENT AND AGING; HISTOLOGY; HUMAN; MECHANICAL STRESS; METHODOLOGY; PATHOLOGY; STATISTICAL MODEL;

ANIMALS; ANISOTROPY; ARTERIES; BIOMECHANICS; BIOPHYSICS; BLOOD VESSELS; CELL PROLIFERATION; ELASTICITY; FREE RADICALS; HUMANS; MODELS, CARDIOVASCULAR; MODELS, STATISTICAL; STRESS, MECHANICAL;

EID: 21844454703     PISSN: 15462048     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Chuong, C.J.; Fung, Y.C. (1984): Compressibility and constitutive relation of arterial wall in radial experiments. Journal of Biomechanics 17, 35-40.
2. Chuong, C.J.; Fung, Y.C. (1986): On residual stress in arteries. ASME Journal of Biomechanical Engineering 108, 189-192.
3. Cowin, S.C.; Hegedus, D.H. (1976): Bone remodeling: Theory of adaptive elasticity. Journal of Elasticity 6, 313-326.
4. Fung, Y.C. (1984): Biodynamics: Circulation. Springer, New York.
5. Fung, Y.C. (1990): Biomechanics: Motion, flow, stress, and growth. Springer, New York.
6. Fung, Y.C. (1991): What are the residual stresses doing in our blood vessels? Ann. Biomedical Engineering 19, 237-249.
7. Fung, Y.C. (1993): Biomechanics: Mechanical Properties of Living Tissues. 2nd ed., Springer, New York.
8. Greenwald, S.E.; Moore, J.E.; Rachev, A.; Kane, T.C.P.; Meister, J.-J. (1997): Experimental investigation of residual strains in the artery wall. ASME Journal of Biomechanical Engineering 119, 438-444.
9. Matsumoto, T.; Hayashi, K.; Ide, K. (1995): Residual strain and local strain distributions in the rabbit atherosclerotic aorta. Journal of Biomechanics 28, 1207-1217.
10. Rachev, A.; Greenwald, S.E. (2003): Residual strains in conduit arteries. Journal of Biomechanics 36, 661-670.
11. Rodriguez, E.K.; Hoger, A.; McCulloch, A.D. (1994): Stress-dependent finite growth in soft elastic tissues. Journal of Biomechanics 27, 455-467.
12. Saini, A.; Berry, C.; Greenwald, S.E. (1995): Effect of age and stress on residual stress in aorta. Journal of Vascular Research 32, 398-405.
13. Taber, L.A.; Eggers, D.W. (1996): Theoretical study of stress-modulated growth in the aorta. Journal of Theoretical Biology 180, 343-357.
14. Taber, L.A.; Humphrey, J.D. (2001): Stress-modulated growth, residual stress, and vascular heterogeneity. ASME Journal of Biomechanical Engineering 123, 528-535.
15. Van Dyke, TJ.; Hoger, A. (2002): A new method for predicting the opening angle for soft tissues. ASME Journal of Biomechanical Engineering 124, 347-354.
16. Vaishnav, R.N.; Vossoughi, J. (1987): Residual stress and strain in aortic segments. Journal of Biomechanics 20, 235-239.
17. Volokh, K.Y. (2003): 'Thermoelastic' model of tissue growth. In: Proceedings of the Summer Bioengineering Conference, Soslowsky, L.J. et al., Eds., New York, ASME, pp. 1209-1210.
18. Volokh, K.Y. (2004a): Mathematical framework for modeling tissue growth. Biorheology 41, 263-269.
19. Volokh, K.Y. (2004b): A simple phenomenological theory of tissue growth. Mechanics and Chemistry of Biosystems 1, 147-160.
20. Vossoughi, J.; Hedjazi, Z.; Borris, F.S. (1993): Intimal residual stress and strain in large arteries. In: Proceedings of the Summer Bioengineering Conference, N.A. Langrana et al., Eds, New York, ASME, 1993, pp. 434-437.