An integrated geometric modelling framework for patient-specific computational haemodynamic study on wide-ranged vascular network

References

• Alastruey , J , Parker , KH , Peiro , J and Sherwin , SJ . 2008 . Lumped parameter outflow models for 1-D blood flow simulations: effect on pulse waves and parameter estimation . Commun Comput Phys , 4 : 317 – 336 .
   Web of Science ®Google Scholar
• Antiga , L , Ene-Iordache , B and Remuzzi , A . 2003 . Computational geometry for patient-specific reconstruction and meshing of blood vessels from MR and CT angiography . IEEE Trans Med Imaging , 22 ( 5 ) : 674 – 684 .
   PubMed Web of Science ®Google Scholar
• Asakura , T and Karino , T . 1990 . Flow patterns and spatial distribution of atherosclerotic lesions in human coronary arteries . Circ Res , 66 : 1045 – 1066 .
   PubMed Web of Science ®Google Scholar
• Augst , AD , Barratt , DC , Hughes , AD , Glor , FP , Thom , SAM and Xu , XY . 2003 . Accuracy and reproducibility of CFD predicted wall shear stress using 3D ultrasound images . Trans ASME J Biomech Eng , 125 ( 2 ) : 218 – 222 .
   PubMed Web of Science ®Google Scholar
• Bacigaluppi , S , Passerini , T , Sangalli , L , Secchi , P , Vatini , S , Vele , S and Veneziani , A . 2008 . Analysis of cerebral vascular morphologies for assessing rupture risk in cerebral aneurysms . J Biomech , 41 : S9
   Google Scholar
• Cai , Y , Ye , X , Chi , C and Anderson , JH . 2003 . Constructive algorithms of vascular network modeling for training of minimally invasive catheterization procedure . Adv Eng Soft , 34 : 439 – 450 .
   Web of Science ®Google Scholar
• Caro , CG , Doorly , DJ , Tarnawski , M , Scott , KT , Long , Q and Dumoulin , CL . 1996 . Non-planar curvature and branching of arteries and non-planar-type flow . Proc R Soc A , 452 : 185 – 197 .
   Google Scholar
• Caro , CG , Fitz-Gerald , JM and Schroter , RC . 1971 . Atheroma arterial wall shear. Observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis . Proc R Soc Lond B , 177 : 109 – 159 .
   PubMed Web of Science ®Google Scholar
• Charbel , F , Shi , J , Quek , F , Zhao , M and Misra , M . 1998 . Neurovascular flow simulation review . Neurol Res , 20 : 107 – 115 .
   PubMed Web of Science ®Google Scholar
• Figueroa , CA , Vignon-Clementel , IE , Jansen , KE , Hughes , TJR and Taylor , CA . 2006 . A coupled momentum method for modeling blood flow in three-dimensional deformable arteries . Comput Method Appl Mech Engrg , 195 : 5685 – 5706 .
   Web of Science ®Google Scholar
• Firbank , MJ , Coulthard , A , Harrison , RM and Williams , ED . 1999 . Partial volume effects in MRI studies of multiple sclerosis . Magn Reson Imag , 17 ( 4 ) : 593 – 601 .
   Web of Science ®Google Scholar
• Friedman , MH and Ding , Z . 1998 . Variability of the planarity of human aortic bifurcation . Med Eng Phys , 20 : 469 – 472 .
   PubMed Web of Science ®Google Scholar
• Gambaruto , AM , Peiro , J , Doorly , DJ and Radaelli , AG . 2008 . Reconstruction of shape and its effect on flow in arterial conduits . Int J Numer Methods Fluid , 57 : 495 – 517 .
   Web of Science ®Google Scholar
• Gambaruto , AM , Taylor , DJ and Doorly , DJ . 2009 . Modelling nasal airflow using a Fourier descriptor representation of geometry . Int J Numer Methods Fluid , 59 : 1259 – 1283 .
   Web of Science ®Google Scholar
• Glover , GH and Pelc , NJ . 1980 . Nonlinear partial volume artifacts in x-ray computed tomography . Med Phys , 7 ( 3 ) : 238 – 248 .
   Web of Science ®Google Scholar
• Humphrey , JD . 2008 . Vascular adaptation and mechanical homeostasis at tissue, cellular, and sub-cellular levels . Cell Biochem Biophys , 50 : 53 – 78 .
   PubMed Web of Science ®Google Scholar
• Kass , M , Witkin , A and Terzopoulos , D . 1987 . Snakes: active contour models . Int J Comput Vision , 1 : 321 – 331 .
   Web of Science ®Google Scholar
• Kim , HJ , Vignon-Clementel , IE , Figueroa , CA , LaDisa , JF , Jansen , KE , Feinstein , JA and Taylor , CA . 2009 . On coupling a lumped parameter heart model and a three-dimensional finite element aorta model . Ann Biomed Eng , 37 ( 11 ) : 2153 – 2169 .
   PubMed Web of Science ®Google Scholar
• Lee , SW , Antiga , L , Spence , D and Stainman , DA . 2008 . Geometry of the carotid bifurcation predicts its exposure to disturbed flow . Stroke , 39 : 2341 – 2347 .
   PubMed Web of Science ®Google Scholar
• Locksley , HB . 1966 . Report on cooperative study of intracranial aneurysms and subarachnoid hemorrhage: section V, Part I: natural history of subarachnoid hemorrhage, intracranial aneurysms and arteriovenous malformations – based on 6368 cases in the cooperative study . J Neurosurg , 25 : 219 – 239 .
   PubMed Web of Science ®Google Scholar
• Long , Q , Xu , XY , Collins , MW , Bourne , M and Griffith , TM . 1998 . Magnetic resonance image processing and structured grid generation of a human abdominal bifurcation . Comput Meth Program Biomed , 56 : 249 – 259 .
   PubMed Web of Science ®Google Scholar
• Lorensen , WE and Cline , HE . 1987 . Marching cubes: a high resolution 3D surface construction algorithm . Comput Graph , 21 ( 4 ) : 163 – 170 .
   Google Scholar
• Malek , AM , Alper , SL and Izumo , S . 1999 . Hemodynamic shear stress and its role in atherosclerosis . J Am Med Assoc , 282 : 2035 – 2042 .
   PubMed Web of Science ®Google Scholar
• Malladi , R , Sethian , JA and Vemuri , BC . 1995 . Shape modeling with front propagation: a level set approach . IEEE Trans Pattern Anal Mach Intell , 17 : 694 – 699 .
   Web of Science ®Google Scholar
• Meng , H , Wang , W , Hoi , Y , Gao , L , Metaxa , E , Swartz , DD and Kolega , J . 1924 . Complex hemodynamics at the apex of an arterial bifurcation induces vascular remodeling resembling cerebral aneurysm initiation . Stroke , 38 : 1931
   Google Scholar
• Migliavacca , F , Balossino , R , Pennati , G , Dubini , G , Hsia , T , deLeval , MR and Bove , EL . 2006 . Multiscale modelling in biofluidynamics: application to reconstructive paediatric cardiac surgery . J Biomech , 39 : 1010 – 1020 .
   PubMed Web of Science ®Google Scholar
• Moritake , K , Handa , H , Okumura , A , Nagasawa , S , Hayashi , K , Sato , M and Hazama , F . 1981 . Quantitative analysis of microstructural components of human cerebral arteries . Neurol Res , 3 : 67 – 82 .
   PubMedGoogle Scholar
• Murray , CD . 1926 . The physiological principle of minimum work. I. The vascular system and the cost of blood volume . Proc Natl Acad Sci USA , 12 : 207 – 214 .
   PubMedGoogle Scholar
• Olufsen , MS . 1999 . Structured tree outflow condition for blood flow in larger systemic arteries . Am J Physiol Heart Circ Physiol , 276 ( 1 ) : 257 – 268 .
   Web of Science ®Google Scholar
• Osher , S and Sethian , JA . 1988 . Fronts propagating with curvature-dependent speed: algorithms based on Hamilton–Jacobi formulations . J Comput Phys , 79 ( 1 ) : 12 – 49 .
   Web of Science ®Google Scholar
• Oshima , M , Torii , R and Hoshina , M . 2005 . “ Computational study of blood flow in the cerebral arterial circle of Willis ” . In ASME Summer Bioengineering Conference 2005; Veil, Colorado June. pp. CD–ROM
   Google Scholar
• Otsuni , JL , Santha , AKS , Mattay , VS , Weinberger , DR , Levin , RL and Frank , JA . 1997 . Analysis of interpolation effects in the reslicing of functional MR images . J Comput Assist Tomogr , 21 ( 5 ) : 803 – 810 .
   Web of Science ®Google Scholar
• Pal , NR and Pal , SK . 1993 . A review on image segmentation technique . Pattern Recogn , 26 ( 9 ) : 1277 – 1294 .
   Web of Science ®Google Scholar
• Peifer , JW and Ku , DN . 1993 . Computer modeling of the abdominal aorta using magnetic resonance images . Ann Biomed Eng , 21 : 237 – 245 .
   PubMed Web of Science ®Google Scholar
• Raghavan , ML , Ma , B and Harbaugh , RE . 2005 . Quantified aneurysm shape and rupture risk . J Neurosurg , 102 : 355 – 362 .
   PubMed Web of Science ®Google Scholar
• Saito , T and Toriwaki , J . 1994a . Reverse distance transformation and skeletons based upon the Euclidean metric for n-dimensional digital binary pictures . IEICE Trans Inform Syst , E77D ( 9 ) : 1005 – 1016 .
   Web of Science ®Google Scholar
• Saito , T and Toriwaki , J . 1994b . New algorithms for Euclidean distance transformation of an n-dimensional digitized picture with applications . Pattern Recogn , 27 ( 11 ) : 1551 – 1565 .
   Web of Science ®Google Scholar
• Spilker , RL , Feinstein , JA , Parker , DW , Reddy , VM and Taylor , CA . 2007 . Morphometry-based impedance boundary conditions for patient-specific modeling of blood flow in pulmonary arteries . Ann Biomed Eng , 35 ( 4 ) : 546 – 559 .
   PubMed Web of Science ®Google Scholar
• Steiger , HJ . 1990 . Pathophysiology of development and rupture of cerebral aneurysms . Acta Neurochir Suppl , 48 : 1 – 57 .
   PubMedGoogle Scholar
• Steinman , DA . 2002 . Image-based computational fluid dynamics modeling in realistic arterial geometries . Ann Biomed Eng , 30 : 483 – 497 .
   PubMed Web of Science ®Google Scholar
• Stergiopulos , N , Young , DF and Rogge , TR . 1992 . Computer simulation of arterial flow with applications to arterial and aortic stenosis . J Biomech , 25 ( 12 ) : 1477 – 1488 .
   PubMed Web of Science ®Google Scholar
• Taubin , G . 1995 . “ Curve and surface smoothing without shrinkage ” . In Fifth ICCV conference Proceedings, IEEE Computer Society Press. June 852 – 857 . Cambridge (MA)
   Google Scholar
• Thomas , JB , Antiga , L , Che , SL , Milner , JS , Steinman , DAH , Spence , JD , Rutt , BK and Steinman , DA . 2005 . Variation in the carotid bifurcation geometry of young versus older adults . Stroke , 36 : 2450 – 2456 .
   PubMed Web of Science ®Google Scholar
• Torii , R , Oshima , M , Kobayashi , T and Takagi , K . 2001 . Numerical simulation system for blood flow in the cerebral artery using CT imaging data . JSME Int J Ser C , 44 ( 4 ) : 982 – 989 .
   Google Scholar
• Torii , R , Oshima , M , Kobayashi , T , Takagi , K and Tezduyar , TE . 2010 . Role of 0D peripheral vasculature model in fluid–structure interaction modeling of aneurysms . Comput Mech , 46 : 43 – 52 .
   Web of Science ®Google Scholar
• Ujiie , H , Tachibana , H , Hiramatsu , O , Hazel , A , Matsumoto , T , Ogasawara , Y , Nakajima , H , Hori , T , Takakura , K and Kajiya , F . 1999 . 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 ) : 119 – 130 .
   PubMed Web of Science ®Google Scholar
• Vignon , IE and Taylor , CA . 2004 . Outflow boundary conditions for one-dimensional finite element modeling of blood flow and pressure waves in arteries . Wave Motion , 39 ( 4 ) : 361 – 374 .
   Web of Science ®Google Scholar
• Volkau , I , Zheng , W , Baimouratov , R , Aziz , A and Nowinski , WL . 2005 . Geometric modeling of the human normal cerebral arterial system . IEEE Trans Med Imag , 24 ( 4 ) : 529 – 539 .
   Web of Science ®Google Scholar
• Waddington , MM . 1974 . Atlas of cerebral angiography with anatomic correlation , Boston (MA) : Little, Brown and Co .
   Google Scholar
• Wang , KC , Dutton , RW and Taylor , CA . 1999 . Improving geometric model construction for blood flow modeling . IEEE Eng Med Biol , 18 ( 6 ) : 33 – 39 .
   Web of Science ®Google Scholar
• Xu , C and Prince , JL . 1998 . Snakes, shapes and gradient vector flow . IEEE Trans Image Process , 7 ( 3 ) : 359 – 369 .
   PubMed Web of Science ®Google Scholar
• Zhang , Y , Bazilevs , Y , Goswami , S , Bajaj , CL and Hughes , TJR . 2007 . Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow . Comput Method Appl Mech Eng , 196 : 2943 – 2959 .
   PubMed Web of Science ®Google Scholar