Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures. (English) Zbl 1160.76061

Summary: Hemodynamic factors like the wall shear stress play an important role in cardiovascular diseases. To investigate the influence of hemodynamic factors in blood vessels, the authors have developed a numerical fluid-structure interaction (FSI) analysis technique. The objective is to use numerical simulation as an effective tool to predict phenomena in a living human body. We applied the technique to a patient-specific arterial model, and with that we showed the effect of wall deformation on the wall shear stress (WSS) distribution. We compute the interaction between the blood flow and the arterial wall for a patient-specific cerebral aneurysm with various hemodynamic conditions, such as hypertension. We particularly focus on the effects of hypertensive blood pressure on the interaction and the WSS, because hypertension is reported to be a risk factor in rupture of aneurysms. We also aim to show the possibility of FSI computations with hemodynamic conditions representing those risk factors in cardiovascular disease. The simulations show that the transient behavior of the interaction under hypertensive blood pressure is significantly different from the interaction under normal blood pressure. The transient behavior of the blood-flow velocity, and the resulting WSS and the mechanical stress in the aneurysmal wall, are significantly affected by hypertension. The results imply that hypertension affects the growth of an aneurysm and the damage in arterial tissues.


76Z05 Physiological flows
76D05 Navier-Stokes equations for incompressible viscous fluids
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
92C10 Biomechanics
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[1] Asakura T, Karino T (1990) Flow patterns and spatial distribution of atherosclerotic lesions in human coronary arteries. Circ Res 66:1045–1066
[2] Brooks AN, Hughes TJR (1982) Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput Method Appl Mech Eng 32:199–259 · Zbl 0497.76041
[3] Caro CG, Fitz-Gerald JM, Schroter RC (1971) Atheroma arterial wall shear-observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proc R Soc Lond (Biol) 177:109–159
[4] Johnson AA, Tezduyar TE (1994) Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Comput Method Appl Mech Eng 119:73–94 · Zbl 0848.76036
[5] Kaazempur-Mofrad MR, Ethier CR (2001) Mass transport in an anatomically realistic human right coronary artery. Ann Biomed Eng 29(2):121–127
[6] Karino T, Takeuchi S, Kobayashi N, Motomiya M, Mabuchi S (1993) Fluid dynamics of cerebrovascular disease (in Japanese). Neurosurgeons 12:15–24
[7] Komatsu Y, Yasuda S, Shibata T, Ono Y, Hyodo A, Nose T (1994) Management for subarachnoid hemorrhage with negative initial angiography. Neurol Surg (in Japanese) 22:43–49
[8] Loremson WE, Cline HE (1987) Marching Cubes: a high resolution 3D surface construction algorithm. Comput Graphics 21(4): 163–169
[9] Malek AM, Alper SL, Izumo S (1999) Hemodynamic shear stress and its role in atherosclerosis. J Am Med Assoc 282:2035–2042
[10] McDonald DA (1974) Blood flow in arteries, 2nd edn. Edward Arnold
[11] Oshima M, Torii R, Kobayashi T (2004) Simulation of blood flow in the cerebral arterial circle of Willis. In: Proceedings of WCCM6, ICCM, Beijing, China, pp CD-ROM
[12] Prosi M, Zunino P, Perktold K, Quarteroni A (2005) Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls: a new methodology for the model set up with applications to the study of disturbed lumenal flow. J Biomech 38(4):903–917
[13] Raghavan ML, Vorp DA, Federie MP, Makaroun MS, Webster MW (2000) Wall stress distribution on three-dimensionally reconstructed models of human abdominal aortic aneurysm. J Vasc Surg 31(4):760–769
[14] Santamarina A, Weydahl E, Siegel JM, Moore JE (1998) Computational analysis of flow in a curved tube model of the coronary arteries: Effects of time-varying curvature. Ann Biomed Eng 26(6):944–954
[15] Steiger HJ (1990) Pathophysiology of development and rupture of cerebral aneurysms. Acta Neurochir Suppl 48:1–57
[16] Stein K, Benney R, Kalro V, Tezduyar TE, Leonard J, Accorsi M (2000) Parachute fluid–structure interactions: 3-D Computation. Comput Method Appl Mech Eng 190:373–386 · Zbl 0973.76055
[17] Stein K, Benney R, Tezduyar T, Potvin J (2001) Fluid–structure interactions of a cross parachute: numerical simulation. Comput Method Appl Mech Eng 191:673–687 · Zbl 0999.76085
[18] Stein KR, Benney RJ, Tezduyar TE, Leonard JW, Accorsi ML (2001) Fluid–structure interactions of a round parachute: Modeling and simulation techniques. J Aircraft 38:800–808
[19] Steinman DA (2002) Image-based computational fluid dynamics modeling in realistic arterial geometries. Ann Biomed Eng 30:483–497
[20] Tang D, Yang C, Kobayashi S, Zheng J, Vito RP (2003) Effect of stenosis asymmetry on blood flow and artery compression: a three dimensional fluid-structure interaction model. Ann Biomed Eng 31(10):1182–1193
[21] Taylor CL, Yuan Z, Selman WR, Ratcheson RA, Rimm AA (1995) Cerebral arterial aneurysm formation and rupture in 20,767 elderly patients: hypertension and other risk factors. J Neurosurg 83:812–819
[22] Tezduyar TE (1992) Stabilized finite element formulations for incompressible flow computations. Advances in Applied Mechanics 28:1–44 · Zbl 0747.76069
[23] Tezduyar TE (2001) Finite element methods for flow problems with moving boundaries and interfaces. Arch Comput Method Eng 8:83–130 · Zbl 1039.76037
[24] Tezduyar TE (2004). Finite element methods for fluid dynamics with moving boundaries and interfaces. In: Stein E, Borst RD, Hughes T (eds). Encyclopedia of Computational Mechanics, Volume 3: Wiley, New York, chap 17
[25] Tezduyar TE, Behr M, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces – the deforming-spatial-domain/space–time procedure: I. The concept and the preliminary numerical tests. Comput Method Appl Mech Eng 94(3):339–351 · Zbl 0745.76044
[26] Tezduyar TE, Behr M, Mittal S, Johnson AA (1992) Computation of unsteady incompressible flows with the finite element methods – space–time formulations, iterative strategies and massively parallel implementations. In: New methods in transient analysis, ASME, New York, PVP-Vol.246/AMD-Vol.143, pp 7–24
[27] Tezduyar TE, Behr M, Mittal S, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces – the deforming-spatial-domain/space–time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Comput Method Appl Mech Eng 94(3): 353–371 · Zbl 0745.76045
[28] Tezduyar TE, Mittal S, Ray SE, Shih R (1992) Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Comput Method Appl Mech Eng 95:221–242 · Zbl 0756.76048
[29] Torii R, Oshima M, Kobayashi T, Takagi K (2001) Numerical simulation system for blood flow in the cerebral artery using CT imaging data. JSME Int J, Series C 44(4):982–989
[30] Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2006) Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial-domain/stabilized space-time formulation. Comput Method Appl Mech Eng 195:1885–1895 · Zbl 1178.76241
[31] Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2006) Influence of wall elasticity in patient-specific hemodynamic simulations. Comput Fluids published online · Zbl 1113.76105
[32] Vorp DA, Vande Geest JP (2005) Biomechanical determinants of abdominal aortic aneurysm rupture. Arterioscl Throm Vas Biol 25(8):1558–1566
[33] Wan J, Steele B, Spicer SA, Strohband S, Feijoo GR, Hughes TJR, Taylor CA (2002) A one-dimensional finite element method for simulation-based medical planning for cardiovascular disease. Comput Method Biomech Biomed Eng 5(3):195–206
[34] Womersley JR (1955) Method for the calculation of velocity, rate of flow and viscos drag in arteries when the pressure gradient is known. J Physiol 127:553–563
[35] Zarins CK, Zatina MA, Giddens DP, Ku DN, Glagov S (1987) Shear stress regulation of artery lumen diameter in experimental atherogenesis. J Vas Surg 5(3):413–420
[36] Zeng D, Ding Z, Friedman MH, Ethier CR (2003) Effects of cardiac motion on right coronary artery hemodynamics. Ann Biomed Eng 31(4):420–429
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