Coupled radial and longitudinal displacements and stresses within the arterial wall in pulsatile flow under tethered and free-wall conditions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 5, 2011, Pages

  Hodis, S ^a   Zamir, M ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; ARTERIAL WALL; FINITE THICKNESS; GOVERNING EQUATIONS; LONG-WAVE APPROXIMATION; LONGITUDINAL DISPLACEMENTS; LONGITUDINAL DYNAMICS; STRONG COUPLING; TWO DIRECTIONS; VESSEL RADIUS; VESSEL WALLS; WALL MATERIALS;

WAVES;

PULSATILE FLOW;

EID: 79961069571     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.051923     Document Type: Article

References (20)

1. J. D. Humphrey and S. Na, Ann. Biomed. Eng. ABMECF 0090-6964 10.1114/1.1467676 30, 509 (2002). (Pubitemid 34726338)
2. G. A. Holzapfel, T. C. Gasser, and M. Stadler, Eur. J. Mech. A EJASEV 0997-7538 10.1016/S0997-7538(01)01206-2 21, 441 (2002).
3. J. R. Womersley, Wright Air Development Center, Dayton, Ohio Technical Report 56-614, 1957.
4. D. J. Patel and D. Fry, Circ. Res. 19, 1011 (1966).
5. H. B. Atabek, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(68)86512-9 8, 626 (1968).
6. I. Mirsky, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(67)86582-2 7, 165 (1967).
7. M. Cinthio, A. R. Ahlgren, J. Bergkvist, T. Jansson, H. W. Persson, and K. Lindstrom, Heart Circulat. Physiol. BIOJAU 0363-6135 10.1152/ajpheart.00988. 2005 291, 394 (2006).
8. M. Persson, A. R. Ahlgren, T. Jansson, A. Eriksson, H. W. Persson, and K. Lindstrom, Clin. Physiol. Functional Imaging BIOJAU 1475-097X 10.1046/j.1475-097X.2003.00504.x 23, 247 (2003).
9. S. Hodis and M. Zamir, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78. 021914 78, 021914 (2008).
10. S. Hodis and M. Zamir, J. Biomech. JBMCB5 0021-9290 10.1016/j.jbiomech. 2009.02.010 42, 1010 (2009).
11. R. Darbey, Viscoelastic Fluids (Dekker, New York, 1976).
12. R. H. Cox, Heart Circ. Physiol. 246, H90 (1984).
13. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity (Dover, New York, 1944).
14. D. Craiem and R. L. Armentano, Biorheology 44, 251 (2007).
15. M. Zamir, The Physics of Pulsatile Flow (Springer-Verlag, New York, 2000).
16. J. C. Misra and K. R. Choudhury, Rheol. Acta RHEAAK 0035-4511 10.1007/BF01329287 23, 548 (1984).
17. G. W. Morgan and J. P. Kiely, J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1907335 26, 323 (1954).
18. S. Hodis and M. Zamir, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80. 051913 80, 051913 (2009).
19. B. M. Learoyd and M. G. Taylor, Circ. Res. 18, 278 (1966).
20. D. H. Bergel, J. Physiol. 156, 458 (1961).