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Influencing factors in image-based fluid–structure interaction computation of cerebral aneurysms. (English) Zbl 1203.92045

Summary: We review and summarize our research activities in fluid–structure interaction (FSI) analysis of cerebral aneurysms using anatomically realistic geometric models based on medical images. Emphasis is placed on influencing factors in computational FSI, and their role and clinical implications are discussed in terms of the wall shear stress (WSS). The key factors are: (1) arterial and aneurysm geometries, (2) wall structure modeling, (3) blood pressure, (4) outflow conditions and (5) inflow conditions. Among these, we find the impact of the arterial and aneurysm geometries to be the most significant. Blood pressure also has a significant impact on the WSS distribution; a hypothetical hypertensive blood pressure condition could help estimate the rupture risk for an aneurysm. We find the other three factors to be minor compared with the arterial and aneurysm geometries and blood pressure, although the level of influence could be unique to the middle cerebral artery aneurysms that we have been focusing on in our studies.

MSC:

92C50 Medical applications (general)
92C35 Physiological flow
92-08 Computational methods for problems pertaining to biology
92C20 Neural biology
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[1] van Gijn, Subarachnoid heamorrhage: diagnosis, cause and management, Brain 124 pp 249– (2001)
[2] Cebral, Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity, IEEE Tranactions on Medical Imaging 24 pp 457– (2005)
[3] Torii, Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures, Computational Mechanics 38 pp 482– (2006) · Zbl 1160.76061
[4] Torii, Influence of wall elasticity in patient-specific hemodynamic simulations, Computers and Fluids 36 pp 160– (2007) · Zbl 1113.76105
[5] 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
[6] Torii, Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling, Computational Mechanics 43 pp 151– (2008) · Zbl 1169.74032
[7] Isaksen, Determination of wall tension in cerebral artery aneurysms by numerical simulation, Stroke 39 pp 3172– (2008)
[8] Torii, Fluid-structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes, Computer Methods in Applied Mechanics and Engineering 198 pp 3613– (2009) · Zbl 1229.74101
[9] Takizawa, Space-time finite element computation of arterial fluid-structure interactions with patient-specific data, International Journal for Numerical Methods in Biomedical Engineering 26 pp 101– (2010) · Zbl 1180.92023
[10] Torii, Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms, International Journal for Numerical Methods in Biomedical Engineering 26 pp 336– (2010) · Zbl 1183.92050
[11] Tezduyar, Multiscale sequentially-coupled arterial FSI technique, Computational Mechanics 46 pp 17– (2010) · Zbl 1261.92010
[12] Takizawa, Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions, Computational Mechanics 46 pp 31– (2010) · Zbl 1301.92019
[13] Torii, Role of 0D peripheral vasculature model in fluid-structure interaction modeling of aneurysms, Computational Mechanics 46 pp 43– (2010) · Zbl 1301.92020
[14] Bazilevs, A fully-coupled fluid-structure interaction simulation of cerebral aneurysms, Computational Mechanics 46 pp 3– (2010) · Zbl 1301.92014
[15] Bazilevs, Computational vascular fluid-structure interaction: methodology and application to cerebral aneurysms, Biomechanics and Modeling in Mechanobiology 9 pp 481– (2010)
[16] Takizawa, Patient-specific arterial fluid-structure interaction modeling of cerebral aneurysms, International Journal for Numerical Methods in Fluids (2010) · Zbl 1203.92044
[17] Steiger, Pathophysiology of development and rupture of cerebral aneurysms, Acta Neurochirurgica Suppliment 48 pp 1– (1990)
[18] Humphrey, Vascular adaptation and mechanical homeostasis at tissue, cellular, and sub-cellular levels, Cell Biochemistry and Biophysics 50 pp 53– (2008)
[19] The International Study of Unruptured Intracranial Aneurysms Investigators, Unruptured intracranial aneurysms-risk of rupture and risks of surgical intervention, The New England Journal of Medicine 339 pp 1725– (1998)
[20] Torii, Influence of wall elasticity on image-based blood flow simulation, Japan Society of Mechanical Engineers Journal Series A 70 pp 1224– (2004)
[21] 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
[22] Tezduyar, Parallel finite-element computation of 3D flows, Computer 26 pp 27– (1993)
[23] 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
[24] 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
[25] Stein, Parachute fluid-structure interactions: 3-D computation, Computer Methods in Applied Mechanics and Engineering 190 pp 373– (2000) · Zbl 0973.76055
[26] 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
[27] Ohayon, Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems, Computer Methods in Applied Mechanics and Engineering 190 pp 3009– (2001) · Zbl 0971.74032
[28] van Brummelen, On the nonnormality of subiteration for a fluid-structure interaction problem, SIAM Journal on Scientific Computing 27 pp 599– (2005) · Zbl 1136.65334
[29] Michler, An interface Newton-Krylov solver for fluid-structure interaction, International Journal for Numerical Methods in Fluids 47 pp 1189– (2005) · Zbl 1069.76033
[30] Gerbeau, Fluid-structure interaction in blood flow on geometries based on medical images, Computers and Structures 83 pp 155– (2005)
[31] Tezduyar, Space-time finite element techniques for computation of fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering 195 pp 2002– (2006)
[32] Bazilevs, Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Computational Mechanics 38 pp 310– (2006) · Zbl 1161.74020
[33] Dettmer, A computational framework for fluid-structure interaction: finite element formulation and applications, Computer Methods in Applied Mechanics and Engineering 195 pp 5754– (2006)
[34] Khurram, A multiscale/stabilized formulation of the incompressible Navier-Stokes equations for moving boundary flows and fluid-structure interaction, Computational Mechanics 38 pp 403– (2006) · Zbl 1184.76720
[35] Kuttler, A solution for the incompressibility dilemma in partitioned fluid-structure interaction with pure Dirichlet fluid domains, Computational Mechanics 38 pp 417– (2006)
[36] Brenk, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction pp 233– (2006)
[37] Lohner, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction pp 82– (2006)
[38] Bletzinger, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction pp 336– (2006)
[39] Masud, An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction, Computers and Fluids 36 pp 77– (2007) · Zbl 1181.76108
[40] Sawada, Fuid-structure interaction analysis of the two dimensional flag-in-wind problem by an interface tracking ALE finite element method, Computers and Fluids 36 pp 136– (2007) · Zbl 1181.76099
[41] Wall, A strong coupling partitioned approach for fluid-structure interaction with free surfaces, Computers and Fluids 36 pp 169– (2007)
[42] 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
[43] Manguoglu, A nested iterative scheme for computation of incompressible flows in long domains, Computational Mechanics 43 pp 73– (2008) · Zbl 1279.76024
[44] Tezduyar, Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods, Computational Mechanics 43 pp 39– (2008) · Zbl 1310.74049
[45] Bazilevs, Isogeometric fluid-structure interaction: theory, algorithms, and computations, Computational Mechanics 43 pp 3– (2008) · Zbl 1169.74015
[46] Kuttler, Fixed-point fluid-structure interaction solvers with dynamic relaxation, Computational Mechanics 43 pp 61– (2008)
[47] Dettmer, On the coupling between fluid flow and mesh motion in the modelling of fluid-structure interaction, Computational Mechanics 43 pp 81– (2008) · Zbl 1235.74272
[48] Tezduyar, Sequentially-coupled arterial fluid-structure interaction (SCAFSI) technique, Computer Methods in Applied Mechanics and Engineering 198 pp 3524– (2009) · Zbl 1229.74100
[49] Manguoglu, Preconditioning techniques for nonsymmetric linear systems in computation of incompressible flows, Journal of Applied Mechanics 76 (2009)
[50] Bazilevs, Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device, Computer Methods in Applied Mechanics and Engineering 198 pp 3534– (2009) · Zbl 1229.74096
[51] Manguoglu, Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement, Computational Mechanics 46 pp 83– (2010) · Zbl 1301.76087
[52] Bazilevs, Computational fluid-structure interaction: methods and application to a total cavopulmonary connection, Computational Mechanics 45 pp 77– (2009) · Zbl 1398.92056
[53] Tezduyar, Space-time finite element computation of complex fluid-structure interactions, International Journal for Numerical Methods in Fluids (2009)
[54] 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
[55] 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
[56] Taylor, Open problems in computational vascular biomechanics: hemodynamics and arterial wall mechanics, Computer Methods in Applied Mechanics and Engineering 198 pp 3514– (2009) · Zbl 1229.76120
[57] Taylor, Image-based modeling of blood flow and vessel wall dynamics: applications, methods and future directions, Annals of Biomedical Engineering 38 pp 1188– (2010)
[58] Wells, Shear rate dependence of the viscosity of whole blood and plasma, Science 133 pp 763– (1961)
[59] Tezduyar, Stabilized finite element formulations for incompressible flow computations, Advances in Applied Mechanics 28 pp 1– (1992) · Zbl 0747.76069
[60] Tezduyar, 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, Computer Methods in Applied Mechanics and Engineering 94 pp 339– (1992) · Zbl 0745.76044
[61] Tezduyar, 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, Computer Methods in Applied Mechanics and Engineering 94 pp 353– (1992) · Zbl 0745.76045
[62] Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, International Journal for Numerical Methods in Fluids 43 pp 555– (2003) · Zbl 1201.76123
[63] Hughes, Finite Element Methods for Convection Dominated Flows 34 pp 19– (1979)
[64] 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
[65] Tezduyar, Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements, Computer Methods in Applied Mechanics and Engineering 95 pp 221– (1992) · Zbl 0756.76048
[66] Hughes, A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations, Computer Methods in Applied Mechanics and Engineering 59 pp 85– (1986) · Zbl 0622.76077
[67] Behr, Computation of incompressible flows with implicit finite element implementations on the Connection Machine, Computer Methods in Applied Mechanics and Engineering 108 pp 99– (1993) · Zbl 0784.76046
[68] Tezduyar, Massively parallel finite element simulation of compressible and incompressible flows, Computer Methods in Applied Mechanics and Engineering 119 pp 157– (1994) · Zbl 0848.76040
[69] Mittal, Massively parallel finite element computation of incompressible flows involving fluid-body interactions, Computer Methods in Applied Mechanics and Engineering 112 pp 253– (1994) · Zbl 0846.76048
[70] Tezduyar, Flow simulation and high performance computing, Computational Mechanics 18 pp 397– (1996) · Zbl 0893.76046
[71] Johnson, Parallel computation of incompressible flows with complex geometries, International Journal for Numerical Methods in Fluids 24 pp 1321– (1997) · Zbl 0882.76044
[72] Johnson, Advanced mesh generation and update methods for 3D flow simulations, Computational Mechanics 23 pp 130– (1999) · Zbl 0949.76049
[73] Tezduyar, Finite element methods for flow problems with moving boundaries and interfaces, Archives of Computational Methods in Engineering 8 pp 83– (2001)
[74] Stein, Mesh moving techniques for fluid-structure interactions with large displacements, Journal of Applied Mechanics 70 pp 58– (2003) · Zbl 1110.74689
[75] Stein, Automatic mesh update with the solid-extension mesh moving technique, Computer Methods in Applied Mechanics and Engineering 193 pp 2019– (2004) · Zbl 1067.74587
[76] Tezduyar, Solution techniques for the fully-discretized equations in computation of fluid-structure interactions with the space-time formulations, Computer Methods in Applied Mechanics and Engineering 195 pp 5743– (2006) · Zbl 1123.76035
[77] Tezduyar, Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces, Computer Methods in Applied Mechanics and Engineering 195 pp 2983– (2006) · Zbl 1176.76076
[78] Tezduyar, Finite elements in fluids: stabilized formulations and moving boundaries and interfaces, Computers and Fluids 36 pp 191– (2007) · Zbl 1177.76202
[79] Tezduyar, Finite elements in fluids: special methods and enhanced solution techniques, Computers and Fluids 36 pp 207– (2007) · Zbl 1177.76203
[80] Tezduyar, New Methods in Transient Analysis 143 pp 7– (1992)
[81] Johnson, Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces, Computer Methods in Applied Mechanics and Engineering 119 pp 73– (1994) · Zbl 0848.76036
[82] Tezduyar, International Workshop on Fluid-structure Interaction-Theory, Numerics and Applications (2009)
[83] Takizawa, Fluid-structure interaction modeling and performance analysis of the Orion spacecraft parachutes, International Journal for Numerical Methods in Fluids (2010) · Zbl 1210.74071
[84] Takizawa, Fluid-structure interaction modeling of parachute clusters, International Journal for Numerical Methods in Fluids (2010) · Zbl 1426.76312
[85] Tezduyar, Marine 2007 (2007)
[86] Tezduyar, Coupled Problems 2007 (2007)
[87] 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)
[88] Tezduyar, Encyclopedia of Computational Mechanics, Volume 3: Fluids (2004)
[89] Loremson, Marching Cubes: a high resolution 3D surface construction algorithm, Computer Graphics 21 pp 163– (1987)
[90] 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)
[91] Hayashi, Stiffness and elastic behavior of human intracranial and extracranial arteries, Journal of Biomechanics 13 pp 175– (1980)
[92] 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 pp 119– (1999)
[93] Cebral, Characterization of cerebral aneurysms for assessing risk of rupture by using patient-specific computational hemodynamics models, American Journal of Neuroradiology 26 pp 2550– (2005)
[94] Chien, Quantitative hemodynamic analysis of brain aneurysms at different locations, American Journal of Neuroradiology 30 pp 1507– (2009)
[95] Shojima, Magnitude and role of wall shear stress on cerebral aneurysm: computational fluid dynamic study of 20 middle cerebral artery aneurysms, Stroke 35 pp 2500– (2004)
[96] Holzapfel, A new constitutive framework for arterial wall mechanics and a comparative study of material models, Journal of Elasticity 61 pp 1– (2000) · Zbl 1023.74033
[97] Humphrey, Elastodynamics and arterial wall stress, Annals of Biomedical Engineering 30 pp 509– (2002)
[98] Williamson, On the sensitivity of wall stresses in diseased arteries to variable material properties, Journal of Biomechanical Engineering 125 pp 147– (2003)
[99] Torii, Coupled Problems 2007 (2007)
[100] Riley, Ultrasonic measurement of the elastic modulus of the common carotid artery. The atherosclerosis risk in communities (ARIC) study, Stroke 23 pp 952– (1992)
[101] Saba, Carotid artery wall thickness and ischemic symptoms: evaluation using multi-detector-row CT angiography, European Radiology 18 pp 1962– (2008)
[102] Abruzzo, Histologic and morphologic comparison of experimental aneurysms with human intracranial aneurysm, American Journal of Neuroradiology 19 pp 1309– (1998)
[103] Taylor, Cerebral arterial aneurysm formation and rupture in 20, 767 elderly patients: hypertension and other risk factors, Journal of Neurosurgery 83 pp 812– (1995)
[104] Boussel, Aneurysm growth occurs at region of low wall shear stress, Stroke 39 (2008)
[105] Olufsen, Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions, Annals of Biomedical Engineering 28 pp 1281– (2000)
[106] Vignon, Outflow boundary conditions for one-dimensional finite element modeling of blood flow and pressure waves in arteries, Wave Motion 39 pp 361– (2004) · Zbl 1163.74453
[107] Figueroa, A coupled momentum method for modeling blood flow in three-dimensional deformable arteries, Computer Methods in Applied Mechanics and Engineering 195 pp 5685– (2006) · Zbl 1126.76029
[108] Migliavacca, Multiscale modelling in biofluidynamics: application to reco nstructive paediatric cardiac surgery, Journal of Biomechanics 39 pp 1010– (2006)
[109] Spilker, Morphometry-based impedance boundary conditions for patient-specific modeling of blood flow in pulmonary arteries, Annals of Biomedical Engineering 35 pp 546– (2007)
[110] Ogoh, Middle cerebral artery flow velocity and pulse pressure during dynamic exercise in humans, American Journal of Physiology: Heart and Circulatory Physiology 288 pp H1526– (2005)
[111] He, Unsteady entrance flow development in a straight tube, Transactions of ASME, Journal of Biomechanical Engineering 116 pp 355– (1994)
[112] Castro, Computational fluid dynamics modeling of intracranial aneurysms: effects of parent artery segmentation on intra-aneurysmal hemodynamics, American Journal of Neuroradiology 27 pp 1703– (2006)
[113] Cebral, Hemodynamics and bleb formation in intracranial aneurysms, American Journal of Neuroradiology 31 pp 304– (2010)
[114] Oshima, Modelling of inflow boundary conditions for image-based simulation of cerebrovascular flow, International Journal for Numerical Methods in Fluids 47 pp 603– (2005) · Zbl 1134.76747
[115] Torii R Oshima M An integrated geometric modelling framework for patient-specific computational hemodynamic study on wide-ranged vascular network 2010
[116] Guo, Basic features of the fluid dynamic simulation software ’FrontFlow/Blue’, Seisan Kenkyu 58 pp 11– (2006)
[117] Stock, Quantification of blood flow in the middle cerebral artery with phase-contrast MR imaging, European Radiology 10 pp 1795– (2000)
[118] Meng, Complex hemodynamics at the apex of an arterial bifurcation induces vascular remodeling resembling cerebral aneurysm initiation, Stroke 38 pp 1924– (2007)
[119] Fisher, Effect of non-Newtonian behavior on hemodynamics of cerebral aneurysms, Transactions of ASME, Journal of Biomechanical Engineering 131 (2009)
[120] Cavazzuti, Beyond the virtural intracranial stenting challeng 2007: non-Newtonian and flow pulsatility effects, Journal of Biomechanics (2010)
[121] Perktold, Pulsatile non-newtonian blood flow simulation through a bifurcation with an aneurysm, Biorheology 26 pp 1011– (1989)
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