Fluid-wall modelling of mass transfer in an axisymmetric Stenosis: Effects of shear-dependent transport properties

Annals of Biomedical Engineering

Volumn 34, Issue 7, 2006, Pages 1119-1128

  Sun, Nanfeng ^a   Wood, Nigel B ^a   Hughes, Alun D ^b   Thom, Simon A M ^b   Xu, X Yun ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b NATIONAL HEART AND LUNG INSTITUTE   (United Kingdom)

Author keywords

Atherosclerosis; Hypoxia; LDL transport; Lipid accumulation; Oxygen transport; Wall stress stress

Indexed keywords

BIOLOGICAL ORGANS; BLOOD; LIPIDS; PROTEINS; SHEAR STRESS; TRANSPORT PROPERTIES;

ATHEROSCLEROSIS; HYPOXIA; LDL TRANSPORT; LIPID ACCUMULATION; OXYGEN TRANSPORT;

MASS TRANSFER;

LOW DENSITY LIPOPROTEIN; OXYGEN;

ANIMAL; ANOXIA; ARTERY; ARTICLE; ATHEROSCLEROSIS; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; DIFFUSION; HUMAN; MECHANICAL STRESS; METABOLISM; PATHOPHYSIOLOGY; SHEAR STRENGTH; STENOSIS, OCCLUSION AND OBSTRUCTION; TRANSPORT AT THE CELLULAR LEVEL;

ANIMALS; ANOXIA; ARTERIES; ATHEROSCLEROSIS; BIOLOGICAL TRANSPORT; BLOOD FLOW VELOCITY; CONSTRICTION, PATHOLOGIC; DIFFUSION; HUMANS; LIPOPROTEINS, LDL; MODELS, CARDIOVASCULAR; OXYGEN; SHEAR STRENGTH; STRESS, MECHANICAL;

EID: 33746087592     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-006-9144-2     Document Type: Article

References (39)

1. Brooks, A. N., and T. J. Hughes. Streamline upwind/petrovgalerkin formulations for convection dominated flows with particular emphasis on the incompressible navier-stokes euqations. Comput. Methods Appl. Mech. Engrg. 32:199-259, 1982.
2. Caro, C. G., J. M. Fitz-Gerald, and R. C. Schroter. Atheroma and arterial wall shear observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc. R. Soc. London, Ser. B Biol. Sci. 177:109-159, 1971.
3. Chang, Y. S., A. Yaccino, S. Lakshminarayanan, J. A. Frangos, and J. M. Tarbell. Shear-induced increase in hydraulic conductivity in endothelial cells is mediated by a nitric oxide-dependent mechanism. Arterioscler. Thromb. Vasc. Biol. 20:35-42, 2000.
4. Crawford, D. W., and D. H. Blankenhorn. Arterial wall oxygenation, oxyradicals, and atherosclerosis. Atherosclerosis 9:97-108, 1991.
5. Deng, X., M. King, and R. Guidoin. Localization of atherosclerosis in arterial junctions, modeling the release rate of low density lipoprotein and its breakdown products accumulated in blood vessel walls. ASAIO Journal 39:M489-M495, 1993.
6. Deng, X., M. King, and R. Guidoin. Localization of atherosclerosis in arterial junctions. concentration distribution of low density lipoproteins at the luminal surface in regions of disturbed flow. ASAIO Journal 41:58-67, 1995.
7. Deng, X., Y. Marois, M. King, and R. Guidoin. Uptake of 3H-7-cholesterol along the arterial wall at an area of stenosis. ASAIO Journal 40:186-191, 1994.
8. Ethier, C. R. Computational modeling of mass transfer and links to atherosclerosis. Ann. Biomed. Eng. 30:461-471, 2002.
9. Hillsley, M. V., and J. M. Tarbell. Oscillatory shear alters endothelial hydraulic conductivity and nitric oxide levels. Biochem. Biophys. Res. Commun. 293:1466-1471, 2002.
10. Hoff, H. F., C. L. Heideman, R. L. Jackson, R. J. Bayardo, H. S. Kim, and A. M. J. Gotto. Localization patterns of plasma apolipoproteins in human atherosclerotic lesions. Circ. Res. 37:72-79, 1975.
11. Jo, H., R. O. Dull, T. M. Hollis, and J. M. Tarbell. Endothelial albumin permeability is shear dependent, time dependent, and reversible. Am. J. Physiol. Heart Circ. Physiol. 260:H1992-H1996, 1991.
12. Kaazempur-Mofrad, M. R. and C. R. Ethier. Mass transport in an anatomically realisitic human right coronary artery. Ann. Biomed. Eng. 29:121-127, 2001.
13. Kaazempur-Mofrad, M. R., S. Wada, J. G. Myers, and C. R. Ethier. Mass transport and fluid flow in stenotic arteries: Axisymmetric and asymmetric models. Int. J. Heat. Mass. Tran. 48:4510-4517, 2005.
14. Karner, G., K. Perktold, and H. P. Zehentner. Computational modeling of macromolecule transport in the arterial wall. Cornput. Methods. Biomech. Biomed. Engin. 4:491-504, 2001.
15. Karner, G. and K. Perktold. Effect of endothelial injury and increased blood pressure on albumin accumulation in the arterial wall: A numerical study. J. Biomech. 33:709-715, 2000.
16. Kedem, O., and A. Katchalsky. Thermodynamic analysis of the permeaility of biological membranes to non-electrolytes. Biochem. Biophys. Acta. 27:229-246, 1958.
17. Long, Q., X. Y. Xu, K. V. Ramnarine, and P. Hoskins. Numerical investigation of physiologically realistic pulsatile flow through arterial stenosis. J. Biomech. 34:1229-1242, 2001.
18. Ma, P., X. Li, and D. N. Ku. Convective mass transfer at the carotid bifurcation. J. Biomech. 30:565-571, 1997.
19. Meyer, G., R. Merval, and A. Tedgui. Effects of pressure-induced stretch and convection on low-density lipoprotein and albumin uptake in the rabbit aortic wall. Circ. Res. 79:532-540, 1996.
20. Michel, C. C., and F. E. Curry. Microvascular permeability. Physiol. Rev. 79:703-761, 1999.
21. Moore, J. A. and C. R. Ethier. Oxygen mass transfer calculations in large arteries. ASMEJ. Biomech. Eng. 119:469-475, 1997.
22. Ogunrinade, O., G. T. Kameya, and G. A. Truskey. Effect of fluid stress on the permeability of the arterial endothelium. Ann. Biomed. Eng. 30:430-446, 2002.
23. Ojha, M., R. S. C. Cobbold, K. W. Johnston, and R. L. Hummel. Pulsatile flow through constricted tubes: an experimental in vestigation using photochromic tracer methods. J. Fluid Mech. 203:173-197, 1989.
24. Prosi, M., P. Zunino, K. Perktold, and A. Quarteroni. Mathematical and numerical models for transfer of low-density lipoproteins through the arterial wall: A new methodology for the model set up with applications to the study of disturbed lumenal flow. J. Biomech. 38:903-917, 2005.
25. Prosi, M. Computer Simulation von Massetransportvorgängen in Arterien. Ph.D. thesis, Technische Universität Graz, 2003.
26. Qiu, Y., and J. M. Tarbell. Numerical simulation of oxygen mass transfer in a compliant curved tube model of a coronary artery. Ann. Biomed. Eng. 28:26-38, 2000.
27. Rappitsch, G., K. Perktold, and E. Pernkopf. Numerical modelling of shear-dependent mass transfer in large arteries. Int. J. Numer. Methods Fluids 25:847-857, 1997.
28. Rappitsch, G., and K. Perktold. Computer simulation of convective diffusion processes in large arteries. J. Biomech. 29:207-215, 1996.
29. Rappitsch, G., and K. Perktold. Pulsatile albumin transport in large arteries: A numerical simulation study. ASMEJ. Biomech. Eng. 118:511-519, 1996.
30. Ross, R. Atherosclerosis: a denfense mechanism gone awry. Am. J.Pathol. 143:987-1002, 1993.
31. Sill, H. W., Y. S. Chang, J. R. Artman, J. A. Frangos, T. M. Hollis, and J. M. Tarbell. Shear stress increases hydraulic conductivity of cultured endothelial monolayers. Am. J. Physiol. Heart Circ. Physiol. 268:535-543, 1995.
32. Stangeby, D. K. and C. R. Ethier. Computational analysis of coupled blood-wall arterial LDL transport. ASME J. Biomech. Eng. 124:1-8, 2002.
33. Stangeby, D. K. and C. R. Ethier. Coupled computational analysis of arterial LDL transport - effects of hypertension. Comput. Methods. Biomech. Biomed. Engin. 5:233-241, 2002.
34. Tarbell, J. M., M. J. Lever, and C. G. Caro. The effect of varying albumin concentration on the hydraulic conductivity of the rabbit common carotid artery. Microvasc. Res. 35:204-220, 1988.
35. Tarbell, J. M. Mass transport in arteries and the localization of atherosclerosis. Annu. Rev. Biomed. Eng. 5:79-118, 2003.
36. Wada, S. and T. Karino. Theoretical study on flow-dependent concentration polarization of low density lipoproteins at the luminal surface of a straight artery. Biorheology 36:207-223, 1999.
37. Wada, S., and T. Karino. Theoretical prediction of low-density lipoproteins concentration at the luminal surface of an artery with a multiple bend. Ann. Biomed. Eng. 30:778-791, 2002.
38. Wada, S., M. Koujiya, and T. Karino. Theoretical study of the effect of local flow disturbances on the concentration of low-density lipoproteins at the luminal surace of end-to-end anastomosed vessels. Med. Biol. Eng. Comput. 40:576-587, 2002.
39. Zunino, P. Mathematical and Numerical Modeling of Mass Transfer in the Vascular System. Ph.D. thesis, Ecole Polytechnique Federale de Lausanne, 2002.