Computational vascular fluid–structure interaction: methodology and application to cerebral aneurysms

Appanaboyina S, Mut F, Löhner R, Putman C, Cebral J (2009) Simulation of intracranial aneurysm stenting: techniques and challenges. Comput Methods Appl Mech Eng 198: 3567–3582

Bazilevs Y, Calo VM, Zhang Y, Hughes TJR (2006) Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Comput Mech 38: 310–322

Bazilevs Y, Calo VM, Cottrel JA, Hughes TJR, Reali A, Scovazzi G (2007) Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Comput Methods Appl Mech Eng 197: 173–201

Bazilevs Y, Calo VM, Hughes TJR, Zhang Y (2008) Isogeometric fluid-structure interaction: theory, algorithms, and computations. Comput Mech 43: 3–37

Bazilevs Y, Gohean JR, Hughes TJR, Moser RD, Zhang Y (2009a) Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Comput Methods Appl Mech Eng 198: 3534–3550

Bazilevs Y, Hsu M-C, Benson DJ, Sankaran S, Marsden AL (2009b) Computational fluid-structure interaction: methods and application to a total cavopulmonary connection. Comput Mech 45: 77–89

Brooks AN, Hughes TJR (1982) Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput Methods Appl Mech Eng 32: 199–259

Castro MA, Putman CM, Cebral JR (2006) Computational fluid dynamics modeling of intracranial aneurysms: effects of parent artery segmentation on intra-aneurysmal hemodynamics. Am J Neuroradiol 27: 1703–1709

Cebral JR, Castro MA, Appanaboyina S, Putman CM, Millan D, Frangi AF (2005) Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity. IEEE Trans Med Imaging 24: 457–467

Chung J, Hulbert GM (1993) A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-α method. J Appl Mech 60: 371–375

Cummins PM, von Offenberg Sweeney N, Killeen MT, Birney YA, Redmond EM, Cahill PA (2007) Cyclic strain-mediated matrix metalloproteinase regulation within the vascular endothelium: a force to be reckoned with. Am J Physiol Heart Circ Physiol 292: H28–H42

Fernández MA, Gerbeau J-F, Gloria A, Vidrascu M (2008) A partitioned Newton method for the interaction of a fluid and a 3D shell structure. Technical Report RR-6623, INRIA

Figueroa CA, Vignon-Clementel IE, Jansen KE, Hughes TJR, Taylor CA (2006) A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Comput Methods Appl Mech Eng 195: 5685–5706

Figueroa CA, Baek S, Taylor CA, Humphrey JD (2009) A computational framework for fluid-solid-growth modeling in cardiovascular simulations. Comput Methods Appl Mech Eng 198: 3583–3602

Formaggia L, Gerbeau JF, Nobile F, Quarteroni A (2001) On the coupling of 3D and 1D navier-stokes equations for flow problems in compliant vessels. Comput Methods Appl Mech Eng 191: 561–582

Gerbeau J-F, Vidrascu M, Frey P (2005) Fluid-structure interaction in blood flows on geometries based on medical imaging. Comput Struct 83: 155–165

Holzapfel GA (2000) Nonlinear solid mechanics, a continuum approach for engineering. Wiley, Chichester

Hughes TJR, Scovazzi G, Franca LP (2004) Multiscale and stabilized methods. In: Stein E, de Borst R, Hughes TJR (eds) Encyclopedia of computational mechanics, vol 3, Fluids, chapter 2. Wiley

Hughes TJR, Cottrell JA, Bazilevs Y (2005) Isogeometric analysis: CAD finite elements, NURBS exact geometry, and mesh refinement. Comput Methods Appl Mech Eng 194: 4135–4195

Humphrey JD (2002) Cardiovascular solid mechanics, cells, tissues, and organs. Springer, New York

Isaksen JG, Bazilevs Y, Kvamsdal T, Zhang Y, Kaspersen JH, Waterloo K, Romner B, Ingebrigtsen T (2008) Determination of wall tension in cerebral artery aneurysms by numerical simulation. Stroke 39: 3172–3178

Jansen KE, Whiting CH, Hulbert GM (1999) A generalized-α method for integrating the filtered navier-stokes equations with a stabilized finite element method. Comput Methods Appl Mech Eng 190: 305–319

Lagana K, Dubini G, Migliavacca F, Pietrabissa R, Pennati G, Veneziani A, Quarteroni A (2002) Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures. Biorheology 39: 359–364

Lipton S, Evans JA, Bazilevs Y, Elguedj T, Hughes TJR (2009) Robustness of isogeometric structural discretizations under severe mesh distortion. Comput Methods Appl Mech Eng 199: 357–373

Marsden AL, Feinstein JA, Taylor CA (2008) A computational framework for derivative-free optimization of cardiovascular geometries. Comput Methods Appl Mech Eng 197: 1890–1905

Nobile F (2001) Numerical approximation of fluid-structure interaction problems with application to hemodynamics. Ph.D. thesis, EPFL

Rank E, Düster A, Nübel V, Preusch K, Bruhns OT (2005) High order finite elements for shells. Comput Methods Appl Mech Eng 194: 2494–2512

Rissland P, Alemu Y, Einav S, Ricotta J, Bluestein D (2009) Abdominal aortic aneurysm risk of rupture: patient-specific FSI simulations using anisotropic model. J Biomech Eng 131: 031001

Ryu C-W, Jahng G-H, Kim E-J, Choi W-S, Yang D-M (2009) High resolution wall and lumen MRI of the middle cerebral arteries at 3 tesla. Cerebrovasc Dis 27: 433–442

Scotti CM, Finol EA (2007) Compliant biomechanics of abdominal aortic aneurysms: a fluid-structure interaction study. Comput Struct 85: 1097–1113

Sforza DM, Putman CM, Cebral JR (2009) Hemodynamics of cerebral aneurysms. Annu Rev Fluid Mech 41: 91–107

Simo JC, Hughes TJR (1998) Computational inelasticity. Springer, New York

Takizawa K, Christopher J, Tezduyar TE, Sathe S (2010a) Space-time finite element computation of arterial fluid-structure interactions with patient-specific data. Commun Numer Methods Eng 26: 101–116

Takizawa K, Moorman C, Wright S, Christopher J, Tezduyar TE (2010b) Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions. Comput Mech. Published online, doi: 10.1007/s00466-009-0425-0

Taylor CA, Humphrey JD (2009) Open problems in computational vascular biomechanics: hemodynamics and arterial wall mechanics. Comput Methods Appl Mech Eng 198: 3514–3523

Taylor CA, Hughes TJR, Zarins CK (1998) Finite element modeling of blood flow in arteries. Comput Methods Appl Mech Eng 158: 155–196

Tezduyar TE (2003) Computation of moving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluids 43: 555–575

Tezduyar TE, Sathe S, Cragin T, Nanna B, Conklin BS, Pausewang J, Schwaab M (2007) Modelling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics. Int J Numer Methods Fluids 54: 901–922

Tezduyar TE, Takizawa K, Moorman C, Wright S, Christopher J (2009) Multiscale sequentially-coupled arterial FSI technique. Comput Mech. doi: 10.1007/s00466-009-0423-2

Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2006a) Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial-domain/stabilized space-time formulation. Comput Methods Appl Mech Eng 195: 1885–1895

Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2006b) Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures. Comput Mech 38: 482–490

Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2007) Influence of the wall elasticity in patient-specific hemodynamic simulations. Comput Fluids 36: 160–168

Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2008) Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling. Comput Mech 43: 151–159

Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2009) Fluid-structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes. Comput Methods Appl Mech Eng 198: 3613–3621

Vignon-Clementel IE, Figueroa CA, Jansen KE, Taylor CA (2006) Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput Methods Appl Mech Eng 195: 3776–3796

Watton PN, Raberger NB, Holzapfel GA, Ventikos Y (2009) Coupling the hemodynamic environment to the evolution of cerebral aneurysms: computational framework and numerical examples. J Biomech Eng 131: 101003

Wolters BJBM, Rutten MCM, Schurink GWH, Kose U, de Hart J, van de Vosse FN (2005) A patient-specific computational model of fluid-structure interaction in abdominal aortic aneurysms. Med Eng Phys 27: 871–883

Zhang Y, Wang W, Liang X, Bazilevs Y, Hsu M-C, Kvamsdal T, Brekken R, Isaksen JG (2009) High-fidelity tetrahedral mesh generation from medical imaging data for fluid-structure interaction analysis of cerebral aneurysms. Comput Model Eng Sci 42: 131– 150

Zunino P, D’Angelo C, Petrini L, Vergara C, Capelli C, Migliavacca F (2009) Numerical simulation of drug eluting coronary stents: mechanics, fluid dynamics and drug release. Comput Methods Appl Mech Eng 198: 3633–3644