Multiscale model for analyzing the synergy of CS and WSS on the endothelium in straight arteries

Acta Mechanica Sinica/Lixue Xuebao

Volumn 22, Issue 1, 2006, Pages 76-83

  Qin, Kairong ^a   Jiang, Zonglai ^a   Sun, Hui ^b   Gong, Keqin ^b   Liu, Zhaorong ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b FUDAN UNIVERSITY   (China)

Author keywords

Endothelium; Factor; Multiscale model; Stress; Synergy

Indexed keywords

BLOOD; CALCULATIONS; CARDIOVASCULAR SYSTEM; FLOW OF FLUIDS; LOADS (FORCES); MECHANICAL PROPERTIES; PATHOLOGY; PHYSIOLOGY; SHEAR STRESS;

ARTERIAL ENDOTHELIUM; FACTORS; LOCAL BLOOD FLOW DEPENDENT PHENOMENA; MULTISCALE MODEL; SYNERGY;

STRESSES;

EID: 33744751557     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10409-005-0082-2     Document Type: Article

References (32)

1. Davies, P.F.: Flow-mediated endothelial mechanotransduction. Physiol. Rev. 75, 519-560 (1995)
2. Liu, S.Q.: Biomechanical basis of vascular tissue engineering. Critical Reviews in Biomedical Engineering 27, 75-148 (1999)
3. Qiu, Y.C., Tarbell, J.M.: Interaction between wall shear stress and circumferential strain affects endothelial cell biochemical production. J. Vasc. Res. 37(3), 147-157 (2000)
4. Zhao, S.M., Suciu, A., Ziegler, T., et al.: Synergistic effects of fluid shear stress and cyclic circumferential stretch on vascular endothelial cell morphology and cytoskeleton. Arterioscler Thromb Vasc Biol., 15(10), 1781-1786(1995)
5. Zhao, S.Z., Xu, X.Y., Hughes, A.D., Thorn, S.A., Stanton, A.V., Ariff, B., Long, Q.: Blood flow and vessel mechanics in a physiologically realistic model of a human carotid arterial bifurcation. J. Biomech. 33, 975-984 (2000)
6. Ziegler, T., Bouzourene, K., Harrison, V.J., et al.: Influence of oscillatory and unidirectional flow environments on the expression of endothelin and nitric oxide synthase in cultured endothelial cells. Arterioscler. Thromb. Vasc. Biol. 18, 686-692 (1998)
7. Chaudhry, H.R., Bukiet, B., Davis, A., et al.: Residual stresses in oscillating thoracic arteries reduce circumferential stresses and stress gradients. J. Biomechanics 30, 57-62 (1997)
8. Chuong, C.J., Fung, Y.C.: On residual stresses in arteries. ASME J. of Biomech. Eng. 108(2), 189-192 (1986)
9. Liu, S.Q., Fung, Y.C.: Zero-stress states of arteries. ASME J. Biomech. Eng. 110, 82-84 (1988)
10. Matsumoto, T., Hayashi, K.: Response of arterial wall to hypertension and residual stress. In: Hayashi K, Kamiya A, Ono K (eds) Biomechanics-functional adaptation and remodeling, Springer-Verlag, Tokyo, 1996
11. Thubrikar, M.J., Roskelley, S.K., Eppink, R.T.: Study of stress concentration in the walls of the bovine coronary arterial branch. J Biomech, 23, 15-26 (1990)
12. Thubrikar, M.J., Deck, J.D., Aouad, J., Chen, J.M.: Intramural stress as a causative factor in atherosclerotic lesions of the aortic valve. Atherosclerosis, 55, 299-311 (1995)
13. Liu, Z.R., He, F., Xu, G., Chen, Y.: Determination of arterial wall shear stress. Science in China (Series, A), 44, 1312-1321 (2001)
14. Liu, Z.R., Xu, G., Chen, Y, Teng, Z.Z., Qin, K.R.: An Analysis model of pulsatile blood flow in arteries. Applied Mathematics and Mechanics, 24(2): 230-240 (2003)
15. Wang, D.M., Tarbell, J.M.: Nonlinear analysis of flow in an elastic tube (artery): steady streaming effects. J Fluid Mech, 239, 341-358 (1992)
16. Wang, D.M., Tarbell, J.M.: Nonlinear analysis of oscillatory flow, with a nonzero mean, in an elastic tube (artery). ASME J Biomech Eng 117, 127-135(1995)
17. Lee, C.S., Tarbell, JM: Influence of vasoactive drugs on wall shear stress distribution in the abdominal aorta bifurcation: An in vitro study. Ann Biomed Eng 26, 200-212 (1998)
18. Qiu, Y.C., Tarbell, J.M.: Computational simulation of flow in the end-to-end anastomosis of a rigid graft and a compliant artery. ASAIO J, 42, M702-M709 (1996)
19. Qiu, Y.C., Tarbell, J.M.: Numerical simulation of pulsatile flow in a compliant curved tube model of a coronary artery. ASME J Biomech Eng 122(1), 77-85 (2000)
20. Zhao, S.Z., Ariff, B., Long, Q., et al.: Inter-individual variations in wall shear stress and mechanical stress distributions at the carotid artery bifurcation of healthy humans. J Biomech 35, 1367-1377 (2002)
21. Ku, D.N., Giddens, D.P., Zarins, C.K., Glagov, S.: Pulsatile flow and atherosclerosis in the human carotid bifurcation-positive correlation between plaque location and oscillating shear stress. Atherosclerosis, 5, 293-302 (1985)
22. Younis, H.F., Kaazempur-Morfrad, M.R., Chung, C, Chan, R.C., Kamm, R.D.: Computational analysis of the effects of exercise on hemodynamics in the carotid bifurcation. Ann. Biomed. Eng. 31, 995-1006(2003)
23. Tang, D., Yang, J., Yang, C, Ku, D.N.: A nonlinear axisymmetric model with fluid-wall interactions for steady viscous flow in stenotic elastic tubes. ASME J. Biomech. Eng. 121, 494-501 (1999)
24. Qin, K.R., Jiang, ZL: A nonlinear method to determine the wall shear stress in the straight artery in vivo. Acta Mechanica Sinica, 37(2), 225-231 (2005) (in Chinese)
25. Fung, Y.C.: Biomechanics. Motion, Flow, Stress, and Growth. Spring-Verlag, New York, 1990
26. Cegeaux, J.L., Grondelle, A.: Accuracy of the inverse Womersley method for the calculation of hemodynamic variables. Ann. Biomed. Eng. 25, 536-546 (1997)
27. Dutta, A., Wang, D.M., Tarbell, J.M.: Numerical analysis of flow in an elastic artery model. ASME Journal of Biomechanical Engineering 114, 26-33 (1992)
28. Humphrey, J.D., Na, S.: Elastodynamics and arterial wall stress. Ann. of Biomed. Eng. 30, 509-523 (2002)
29. Womersley, J.R.: An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries. Technical report TR56-614. Wright Air Development Center, 1957
30. Liu, Z.R., Shen, F., Yin, F.C.P.: Impedance of arterial system simulated by viscoelastic t tubes terminated in windkessels. Am J Physiol, 256(25), H1087-H1099 (1989)
31. Avolio, A.P., O'Rourke, M.F., Mang, K., Bason, P.T., Barry, S. Gow: A comparative study of pulsatile arterial hemodynamics in rabbits and guinea pigs. Am J Physiol, 230(4), 868-875 (1976)
32. Formaggia L., Nobile F., Quarteroni A., Veneziani A.: Multiscale modeling of the circulatory system: a preliminary analysis. Comput Visual Sci, 2, 75-83 (1999)