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Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms. (English) Zbl 1183.92050

Summary: Fluid-structure interaction (FSI) analyses of cerebral aneurysm using patient-specific geometry with uniform and pathological aneurysmal wall thickness models are carried out. The objective is to assess the influence of the wall thickness on the FSI and hemodynamics in aneurysms. Two aneurysm models that were reconstructed based on CT images are used. The arterial wall thickness is set to 0.3 mm for the non-aneurysmal artery and to 0.05 mm for the aneurysmal wall based on experimental findings. Another set of aneurysm models with a uniform wall thickness of 0.3 mm for the entire model is used for comparison. The FSI simulations are carried out using the deforming-spatial-domain/stabilized space-time method with physiological inflow and pressure profiles. Computations with different aneurysmal wall thicknesses depict considerable differences in displacement, flow velocity and wall shear stress (WSS). The wall displacement for the pathological wall model is 61% larger than that of the uniform wall model. Consequently, the flow velocities in the aneurysm with the pathological wall model are lower, and that results in a 51% reduction in WSS on the aneurismal wall. Because low WSS on the aneurymal wall is linked to growth and rupture risk of aneurysm, the results suggest that using uniform wall thickness for the aneurysmal wall could underestimate risk in aneurysms.

MSC:

92C50 Medical applications (general)
92C35 Physiological flow
65C20 Probabilistic models, generic numerical methods in probability and statistics
92C55 Biomedical imaging and signal processing
92-08 Computational methods for problems pertaining to biology
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[1] van Gijn, Subarachnoid heamorrhage: diagnosis, cause and management, Brain 124 pp 249– (2001)
[2] Dispensa, Estimation of fusiform intracranial aneurysm growth by serial magnetic resonance imaging, Journal of Magnetic Resonance Imaging 26 pp 177– (2007)
[3] Steiger, Pathophysiology of development and rupture of cerebral aneurysms, Acta Neurochirurgica Suppliment 48 pp 1– (1990)
[4] Humphrey, Vascular adaptation and mechanical homeostasis at tissue, cellular, and sub-cellular levels, Cell Biochemistry and Biophysics 50 pp 53– (2008)
[5] Tateshima, Intraaneurysmal flow dynamics study featuring an acrylic aneurysm model manufactured using a computerized tomography angiogram as a mold, Journal of Neurosurgery 95 pp 1020– (2001)
[6] Meng, Complex hemodynamics at the apex of an arterial bifurcation induces vascular remodeling resembling cerebral aneurysm initiation, Stroke 38 pp 1924– (2007)
[7] Tateshima, Intra-aneurysmal hemodynamics in a large middle cerebral artery aneurysm with wall atherosclerosis, Surgical Neurology (2008)
[8] Burleson, Computer modeling of intracranial saccular and lateral aneurysms for the study of theirhemodynamics, Neurosurgery 37 pp 774– (1995)
[9] Foutrakis, Saccular aneurysm formation in curved and bifurcating arteries, American Journal of Neuroradiology 20 pp 1309– (1999)
[10] Shojima, Magnitude and role of wall shear stress on cerebral aneurysm: computational fluid dynamic study of 20 middle cerebral artery aneurysms, Stroke 35 (11) pp 2500– (2004)
[11] Cebral, Characterization of cerebral aneurysms for assessing risk of rupture by using patient-specific computational hemodynamics models, American Journal of Neuroradiology 26 (10) pp 2550– (2005)
[12] Torii, Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures, Computational Mechanics 38 pp 482– (2006) · Zbl 1160.76061
[13] Zakaria, Analysis of the importance of the ratio of aneurysm size to parent artery diameter on hemodynamic condition, Journal of Biomechanics 39 pp S272– (2006)
[14] Torii, Numerical investigation of the effect of hypertensive blood pressure on cerebral aneurysm-dependence of the effect on the aneurysm shape, International Journal for Numerical Methods in Fluids 54 pp 995– (2007) · Zbl 1317.76107
[15] Boussel, Aneurysm growth occurs at region of low wall shear stress, Stroke 39 (2008)
[16] Ujiie, Effects of size and shape (aspect ratio) on the hemodynamics of saccular aneurysms: a possible index for surgical treatment of intracranial aneurysms, Neurosurgery 45 (1) pp 119– (1999)
[17] Kataoka, Structural fragility and inflammatory response of ruptured cerebral aneurysms, Stroke 30 pp 1396– (1999)
[18] Suzuki, Clinicopathological study of cerebral aneurysms: origin, rupture, repair and growth, Journal of Neurosurgery 48 pp 505– (1978)
[19] Abruzzo, Histologic and morphologic comparison of experimental aneurysms with human intracranial aneurysm, American Journal of Neuroradiology 19 pp 1309– (1998)
[20] Baek, A theoretical model of enlarging intracranial fusiform aneurysms, Transactions of ASME, Journal of Biomechanical Engineering 128 pp 142– (2006)
[21] Volokh, A model of growth and rupture of abdominal aortic aneurysm, Journal of Biomechanics 41 pp 1015– (2008)
[22] Chatziprodromou, Haemodynamics and wall remodelling of a growing cerebral aneurysm: a computational model, Journal of Biomechanics 40 pp 412– (2007)
[23] Figueroa CA, Baek S, Taylor CA, Humphrey JD. Multi-scale modeling of blood vessels using a fluid-solid growth framework. Proceedings of WCCM8, Venice, Italy, 2008.
[24] Di Martino, Fluid-structure interaction within realistic three-dimensional models of the aneurysmatic aorta as a guidance to assess the risk of rupture of the aneurysm, Medical Engineering and Physics 23 (9) pp 647– (2001)
[25] Tang, 3D mri-based multicomponent fsi models for atherosclerotic plaques, Annals of Biomedical Engineering 32 (7) pp 947– (2004)
[26] Tada, A computational study of flow in a compliant carotid bifurcation-stress phase angle correlation with shear stress, Annals of Biomedical Engineering 33 (9) pp 1202– (2005)
[27] Scotti, Fluid-structure interaction in abdominal aortic aneurysms: effects of asymmetry and wall thickness, Biomedical Engineering Online 4 pp 64– (2005)
[28] Bazilevs, Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Computational Mechanics 38 pp 310– (2006) · Zbl 1161.74020
[29] Koshiba, Multiphysics simulation of blood flow and ldl transport in a porohyperelastic arterial wall model, Transactions of the ASME, Journal of Biomechanical Engineering 129 pp 374– (2007)
[30] Bazilevs, Isogeometric fluid-structure interaction: theory, algorithms, and computations, Computational Mechanics 43 pp 3– (2008) · Zbl 1169.74015
[31] Borghi, Fluid-solid interaction simulation of flow and stress pattern in thoracoabdominal aneurysms: a patient-specific study, Journal of Fluids and Structures 24 (2) pp 270– (2008)
[32] Torii, Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial-domain/stabilized space-time formulation, Computer Methods in Applied Mechanics and Engineering 195 pp 1885– (2006) · Zbl 1178.76241
[33] Torii, Influence of wall elasticity in patient-specific hemodynamic simulations, Computers and Fluids 36 pp 160– (2007) · Zbl 1113.76105
[34] Tezduyar, Modeling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics, International Journal for Numerical Methods in Fluids 54 pp 901– (2007) · Zbl 1276.76043
[35] Tezduyar, Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique, International Journal for Numerical Methods in Fluids 57 pp 601– (2008) · Zbl 1230.76054
[36] Torii, Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling, Computational Mechanics 43 pp 151– (2008) · Zbl 1169.74032
[37] Tezduyar, Sequentially coupled arterial fluid-structure interaction (SCAFSI) technique, Computer Methods in Applied Mechanics and Engineering (2008) · Zbl 1229.74100
[38] Torii, Fluid-structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes, Computer Methods in Applied Mechanics and Engineering (2008) · Zbl 1229.74101
[39] Isakeen, Determination of wall tension in cerebral artery aneurysms by numerical simulation, Stroke 39 pp 3172– (2008)
[40] Tezduyar, Stabilized finite element formulations for incompressible flow computations, Advances in Applied Mechanics 28 pp 1– (1992) · Zbl 0747.76069
[41] Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, International Journal for Numerical Methods in Fluids 43 pp 555– (2003) · Zbl 1201.76123
[42] Brooks, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering 32 pp 199– (1982) · Zbl 0497.76041
[43] Tezduyar, Parallel finite-element computation of 3D flows, Computer 26 (10) pp 27– (1993)
[44] Tezduyar, Flow simulation and high performance computing, Computational Mechanics 18 pp 397– (1996) · Zbl 0893.76046
[45] Tezduyar, Finite element methods for flow problems with moving boundaries and interfaces, Archives of Computational Methods in Engineering 8 pp 83– (2001)
[46] Tezduyar, Finite elements in fluids: stabilized formulations and moving boundaries and interfaces, Computers and Fluids 36 pp 191– (2007) · Zbl 1177.76202
[47] Mittal, Parallel finite element simulation of 3D incompressible flows-fluid-structure interactions, International Journal for Numerical Methods in Fluids 21 pp 933– (1995) · Zbl 0873.76047
[48] Kalro, A parallel 3D computational method for fluid-structure interactions in parachute systems, Computer Methods in Applied Mechanics and Engineering 190 pp 321– (2000) · Zbl 0993.76044
[49] Tezduyar, Fluid-structure interactions of a parachute crossing the far wake of an aircraft, Computer Methods in Applied Mechanics and Engineering 191 pp 717– (2001) · Zbl 1113.76407
[50] Tezduyar, Space-time finite element techniques for computation of fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering 195 pp 2002– (2006)
[51] Tezduyar, Modeling of fluid-structure interactions with the space-time finite elements: solution techniques, International Journal for Numerical Methods in Fluids 54 pp 855– (2007) · Zbl 1144.74044
[52] MacDonald, Directional wall strength in saccular brain aneurysms from polarized light microscopy, Annals of Biomedical Engineering 28 pp 533– (2000)
[53] Frösen, Remodeling of saccular cerebral artery aneurysm wall is associated with rupture: histological analysis of 24 unruptured and 42 ruptured cases, Stroke 35 pp 2287– (2004)
[54] Flamini V, Kerskens C, Lally C. Characterization of the 3D fibre distribution in a porcine aorta using diffusion tensor imaging. 16th Congress of European Society of Biomechanics, Lucerne, Switzerland, 2008.
[55] Rodriguez-Granillo, In vivo intravascular ultrasound-derived thin-cap fibroatheroma detection using ultrasound radio frequency data analysis, Journal of the American College of Cardiology 46 pp 2038– (2005)
[56] Williamson, On the sensitivity of wall stresses in diseased arteries to variable material properties, Journal of Biomechanical Engineering 125 pp 147– (2003)
[57] Delfino, Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation, Journal of Biomechanics 30 pp 777– (1997)
[58] Loremson, Marching cubes: a high resolution 3D surface construction algorithm, Computer Graphics 21 (4) pp 163– (1987)
[59] Hayashi, Stiffness and elastic behavior of human intracranial and extracranial arteries, Journal of Biomechanics 13 pp 175– (1980)
[60] Riley, Ultrasonic measurement of the elastic modulus of the common carotid artery. The atherosclerosis risk in communities (ARIC) study, Stroke 23 pp 952– (1992)
[61] Saba, Carotid artery wall thickness and ischemic symptoms: evaluation using multi-detector-row CT angiography, European Radiology 18 pp 1962– (2008)
[62] Wells, Shear rate dependence of the viscosity of whole blood and plasma, Science 133 (3455) pp 763– (1961)
[63] Womersley, Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known, Journal of Physiology 127 pp 553– (1955)
[64] Malek, Hemodynamic shear stress and its role in atherosclerosis, Journal of the American Medical Association 282 pp 2035– (1999)
[65] Cheng, Large variations in absolute wall shear stress levels within one species and between species, Atherosclerosis 195 pp 225– (2007)
[66] Rayz, Numerical simulations of flow in cerebral aneurysms: comparison of CFD results and in vivo MRI measurements, Transactions of ASME, Journal of Biomechanical Engineering 130 (2008)
[67] Castro, Computational fluid dynamics modeling of intracranial aneurysms: effects of parent artery segmentation on intra-aneurysmal hemodynamics, American Journal of Neuroradiology 27 (8) pp 1703– (2006)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.