Summary
It is suspected that flow-dependent concentration polarization of low density lipoproteins (LDL) occurs at a blood/endothelium boundary due to an water-permeable nature of an arterial wall, creating favourable conditions for the genesis and development of several vascular diseases such as atherosclerosis, intimal hyperplasia and aneurysmus in the arterial system. Hence the effect of flow patterns and flow-induced wall shear stress (shear rate) on LDL concentration at a blood/endothelium boundary was investigated theoretically by means of a computer simulation of LDL transport from flowing blood to water-permeable walls of arteries having various geometry under conditions of a steady flow. It was found that in a straight artery, accumulation of LDL occurs near the vessel wall depending on the magnitude of wall shear rates, filtration velocity of water at the vessel wall, and diffusivity of LDL in blood under physiological conditions. Furthermore, through extension of the study to the cases of an axisymmetric stenosis, a T-junction, and curved segments, it was found that surface concentration of LDL is locally elevated in regions where wall shear stresses are low and where blood reaches after traveling a long distance along the vessel wall. These results strongly suggest that flow-dependent concentration polarization of LDL is playing an important role in the localization of various vascular diseases.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Asakura T, Karino T (1990) Flow patterns and spatial distribution of atherosclerotic lesions in human coronary arteries. Circ. Res. 66: 1045–1066
Baumann DS, Doblas M, Daugherty A, Sicard G, Schonfeld G (1994) The role of cholesterol accumulation in prosthetic vascular graft anastomotic intimai hyperplasia. J. Vasc. Surg. 19: 435–445
Bomberger RA, Zarins CK, Glagov S (1981) Subcritical arterial stenosis enhances distal atherosclerosis. J. Surg. Res. 30: 205–212
Bratzler RL, Chisolm GM, Colton CK (1977) The distribution of labeled low-density lipoproteins across the rabbit thoracic aorta in vivo. Atherosclerosis 28: 289–307
Caro CG, Fitz-Gerald JM, Schroter RC (1971) Atheroma and arterial wall shear: Observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc. Roy. Soc. Lond. B. 177: 109–159
Davies PF, Dewey CF Jr, Bussolari SR, Gordon EJ, Gimbrone MA Jr (1984) Influence of hemodynamic forces on vascular endothelial function. J. Clin. Inves. 73: 1121–1129
Endo S, Sohara Y, Karino T (1996) Flow patterns in dog aortic arch under a steady flow condition simulating mid-systole. Heart and Vessels 11: 180–191
Fry DL (1968) Acute vascular endothelial changes associated with increased blood velocity gradients. Circ. Res. 22: 165–197
Goldstein JL, Anderson RGW, Brown MS (1979) Coated pits, coated vesicles, and receptor-mediated endocytosis. Nature 279: 679–684
Hoff HF, Wagner WD (1986) Plasma low density lipoprotein accumulation in aortas of hypercholesterolemic swine correlates with modifications in aortic glycosaminoglycan composition. Atherosclerosis 61: 231–236
Hughes TJR, Brooks AN (1982) Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible NavierStokes equations. Compt. Meth. Appl. Mech. Eng. 32: 199–259
Ishibashi H, Sunamura M, Karino T (1995) Flow patterns and preferred sites of intimal thickening in end-to-end anastomosed vessels. Surgery 117: 409–420
Jackson RL, Morrisett JD, Gotto AM (1976) Lipoprotein structure and metabolism. Physiol. Rev. 56: 259–316
Jo H, Dull RO, Hollis TM, Tarbell JM (1991) Endothelial albumin permeability is shear dependent, time dependent, and reversible. Am. J. Physiol. 260: H1992–H1996.
Kanegawa Y, Murakami T, Karino T (1998) The changes in vessel diameter and wall structure that occur downstream of a stenosis created on the common carotid artery of the rabbit fed on cholesterol-rich diet (in Japanese). Tech. Report of IEICE MBE98–34: 59–65
Karino T (1986) Microscopic structure of disturbed flows in the arterial and venous systems, and its implication in the localization of vascular diseases. Inter. Angiol. 4: 297–313
Karino T, Asakura T, Mabuchi S (1988) Role of hemodynamic factors in atherogenesis. Adv. Exp. Med. Biol. 242: 51–57
Klyachkin ML, Davies MG, Svendsen E, Kim JH, Massey MF, Barber L, Mccann RL, Hagen PO (1993) Hypercholesterolemia and experimental vein grafts: accelerated development of intimal hyperplasia and an increase in abnormal vasomotor function. J. Surgical Res. 54: 451–468
Kojiya M, Harada T, Wada S, Karino T (1999) Relationship between intimai thickening at a stenosis created on a rabbit common carotid artery and LDL concentration at the luminal surface of the vessel (in Japanese). Tech. Report of IEICE MBE99–24: 1–6
Ku DN, Giddens DP, Zarins CK, Glagov S (1985) Pulsatile flow and atherosclerosis in the human carotid bifurcation. Positive correlation between plaque location and low oscillating shear stress. Arteriosclerosis 5: 293–302
Rice JG, Schnipke RJ (1985) A monotone streamline upwind finite element method for convection-dominated flows. Comp. Meth. in Appl. Mech. and Eng. 48: 313–327
Roach MR (1972) Poststenotic dilatation in arteries. In: Bergel DH (ed) Cardiovascular Fluid Dynamics 2. Academic Press, New York, pp 111–139
Ross R, Harker L (1976) Hyperlipidemia and atherosclerosis. Chronic hyperlipidemia initiates and maintains lesions by endothelial cell desquamation and lipid accumulation. Science 193: 1094–1100
Schwenke DC, Carew TE (1989) Initiation of atherosclerotic lesions in cholesterol-fed rabbits. I. Focal increases in arterial LDL concentration precede development of fatty streak lesions. Arteriosclerosis 9: 895–907
Sottiurai VS, Sue SL, Feinberg E 2nd, Bringaze WL, Tran AT, Batson RC (1988) Distal anastomotic intimal hyperplasia: biogenesis and etiology. Eur. J. Vasc Surg. 2: 245–56
Spring PM, Hoff HF (1989) LDL accumulation in the grossly normal human iliac bifurcation and common iliac arteries. Experimental & Molecular Pathol. 51: 179–85.
Svindland A (1984) Localization of atherosclerotic lesions in three cerebral arterial bifurcations. Acta Path. Microbiol. Immunol. Scand. Sect. A 92: 177–183
Tedgui A, Lever MJ (1984) Filtration through damaged and undamaged rabbit thoracic aorta. Am. J. Physiol. 247: H784–H791
Truskey GA, Roberts WL, Herrmann RA, Malinauskas RA (1992) Measurement of endothelial permeability to 125I-low density lipoproteins in rabbit arteries by use of en face preparations. Circ. Res. 71: 883–897
Vasile E, Simonescu M, Simonescu N (1983) Visualization of the binding, endocytosis, and transcytosis of low-density lipoprotein in the arterial endothelium in situ. J. Cell Biol. 96: 1677–1689
Wada S, Karino T (1999a) Relationship between wall shear stress and surface concentration of lipoproteins calculated for a multiple bend of the human right coronary artery. Proc. of the 1999 ASME Bioengineering Conference BED-Vol. 42: 735–736
Wada S, Karino T (1999b) Theoretical study on flow-dependent concentration polarization of low density lipoproteins at the luminal surface of a straight artery. Biorheology 36: 207–223
Wilens SL, Mccluskey RT (1952) The comparative filtration properties of excised arteries and veins. Am. J. Med. Sci. 224: 540–547
Yuan SW, Finkelstein AB (1956) Laminar pipe flow with injection and suction through a porous wall. Trans. ASME 78: 719–724
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Japan
About this chapter
Cite this chapter
Wada, S., Karino, T. (2000). Computational Study on LDL Transfer from Flowing Blood to Arterial Walls. In: Yamaguchi, T. (eds) Clinical Application of Computational Mechanics to the Cardiovascular System. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67921-9_16
Download citation
DOI: https://doi.org/10.1007/978-4-431-67921-9_16
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-67989-9
Online ISBN: 978-4-431-67921-9
eBook Packages: Springer Book Archive