Sensitivity of CFD based hemodynamic results in rabbit aneurysm models to idealizations in surrounding vasculature.

Computational fluid dynamics (CFD) studies provide a valuable tool for evaluating the role of hemodynamics in vascular diseases such as cerebral aneurysms and atherosclerosis. However, such models necessarily only include isolated segments of the vasculature. In this work, we evaluate the influence of geometric approximations in vascular anatomy on hemodynamics in elastase induced saccular aneurysms in rabbits. One representative high aspect ratio (AR-height/neck width) aneurysm and one low AR aneurysm were created at the origin of the right common carotid artery in two New Zealand white rabbits. Three-dimensional (3D) reconstructions of the aneurysm and surrounding arteries were created using 3D rotational angiographic data. Five models with varying extents of neighboring vasculature were created for both the high and low AR cases. A reference model included the aneurysm sac, left common carotid artery (LCCA), aortic arch, and downstream trifurcation/quadrification. Three-dimensional, pulsatile CFD studies were performed and streamlines, wall shear stress (WSS), oscillatory shear index, and cross sectional velocity were compared between the models. The influence of the vascular domain on intra-aneurysmal hemodynamics varied between the low and high AR cases. For the high AR case, even a simple model including only the aneurysm, a small section of neighboring vasculature, and simple extensions captured the main features of the steamline and WSS distribution predicted by the reference model. However, the WSS distribution in the low AR case was more strongly influenced by the extent of vasculature. In particular, it was necessary to include the downstream quadrification and upstream LCCA to obtain good predictions of WSS. The findings in this work demonstrate the accuracy of CFD results can be compromised if insufficient neighboring vessels are included in studies of hemodynamics in elastase induced rabbit aneurysms. Consideration of aspect ratio, hemodynamic parameters of interest, and acceptable magnitude of error when selecting the vascular domain will increase reliability of the results while decreasing computational time.

[1]  M. R. Roach A Model Study of Why Some Intracranial Aneurysms Thrombose but Others Rupture , 1978, Stroke.

[2]  Rolf Rannacher,et al.  ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER–STOKES EQUATIONS , 1996 .

[3]  Giovanni P. Galdi,et al.  Mathematical Problems in Classical and Non-Newtonian Fluid Mechanics , 2008 .

[4]  H. Feng,et al.  Neuroendoscopic Management of Symptomatic Septum Pellucidum Cysts , 2006, Neurosurgery.

[5]  S. Alper,et al.  Hemodynamic shear stress and its role in atherosclerosis. , 1999, JAMA.

[6]  A. J. Valente,et al.  Regulation of low shear flow-induced HAEC VCAM-1 expression and monocyte adhesion. , 1999, American journal of physiology. Cell physiology.

[7]  Kaoru Kurisu,et al.  MORPHOLOGICAL DIFFERENCES BETWEEN RUPTURED AND UNRUPTURED CASES IN MIDDLE CEREBRAL ARTERY ANEURYSMS , 2008, Neurosurgery.

[8]  T. Hori,et al.  Is the Aspect Ratio a Reliable Index for Predicting the Rupture of a Saccular Aneurysm? , 2001, Neurosurgery.

[9]  D. Kallmes,et al.  Long-term patency of elastase-induced aneurysm model in rabbits. , 2006, AJNR. American journal of neuroradiology.

[10]  D. Kallmes,et al.  mRNA expression in rabbit experimental aneurysms: a study using gene chip microarrays. , 2007, AJNR. American journal of neuroradiology.

[11]  P. Gresho Some current CFD issues relevant to the incompressible Navier-Stokes equations , 1991 .

[12]  R. Keynton,et al.  Intimal hyperplasia and wall shear in arterial bypass graft distal anastomoses: an in vivo model study. , 2001, Journal of biomechanical engineering.

[13]  D. Kallmes,et al.  The influence of hemodynamic forces on biomarkers in the walls of elastase-induced aneurysms in rabbits , 2007, Neuroradiology.

[14]  M. Lawton,et al.  Correlation between lumenal geometry changes and hemodynamics in fusiform intracranial aneurysms. , 2005, AJNR. American journal of neuroradiology.

[15]  K. Katada,et al.  Magnitude and Role of Wall Shear Stress on Cerebral Aneurysm: Computational Fluid Dynamic Study of 20 Middle Cerebral Artery Aneurysms , 2004, Stroke.

[16]  H J Steiger,et al.  Pathophysiology of development and rupture of cerebral aneurysms. , 1990, Acta neurochirurgica. Supplementum.

[17]  Hasballah Zakaria,et al.  A Parametric Model for Studies of Flow in Arterial Bifurcations , 2008, Annals of Biomedical Engineering.

[18]  Jaehoon Seong,et al.  In vitro evaluation of flow divertors in an elastase-induced saccular aneurysm model in rabbit. , 2007, Journal of biomechanical engineering.

[19]  K. Nozaki,et al.  Prevention of rat cerebral aneurysm formation by inhibition of nitric oxide synthase. , 2000, Circulation.

[20]  David A. Steinman,et al.  Image-Based Computational Fluid Dynamics Modeling in Realistic Arterial Geometries , 2002, Annals of Biomedical Engineering.

[21]  F. Kajiya,et al.  Effects of size and shape (aspect ratio) on the hemodynamics of saccular aneurysms: a possible index for surgical treatment of intracranial aneurysms. , 1999, Neurosurgery.

[22]  D. Kallmes,et al.  Angiographic and histologic analysis of experimental aneurysms embolized with platinum coils, Matrix, and HydroCoil. , 2005, AJNR. American journal of neuroradiology.

[23]  Michael P. Szymanski,et al.  A MODEL SYSTEM FOR MAPPING VASCULAR RESPONSES TO COMPLEX HEMODYNAMICS AT ARTERIAL BIFURCATIONS IN VIVO , 2006, Neurosurgery.

[24]  D. Holdsworth,et al.  Image-based computational simulation of flow dynamics in a giant intracranial aneurysm. , 2003, AJNR. American journal of neuroradiology.

[25]  D. Kallmes,et al.  A collagen-based coil for embolization of saccular aneurysms in a New Zealand White rabbit model. , 2003, AJNR. American journal of neuroradiology.

[26]  M Zamir,et al.  Shear forces and blood vessel radii in the cardiovascular system , 1977, The Journal of general physiology.

[27]  C M Putman,et al.  Computational fluid dynamics modeling of intracranial aneurysms: effects of parent artery segmentation on intra-aneurysmal hemodynamics. , 2006, AJNR. American journal of neuroradiology.

[28]  G. Rinkel,et al.  Subarachnoid haemorrhage: diagnosis, causes and management. , 2001, Brain : a journal of neurology.

[29]  J. Womersley Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known , 1955, The Journal of physiology.

[30]  D. R. Gross,et al.  Hot‐Film Anemometer Velocity Measurements of Arterial Blood Flow in Horses , 1974, Circulation research.

[31]  David F. Kallmes,et al.  Creation of Saccular Aneurysms in the Rabbit , 2000 .

[32]  Local Solutions to the Navier–Stokes Equations with Mixed Boundary Conditions , 1998 .

[33]  Philip M. Gresho,et al.  Finite element simulations of steady, two-dimensional, viscous incompressible flow over a step , 1981 .

[34]  K. Takayama,et al.  A proposed parent vessel geometry-based categorization of saccular intracranial aneurysms: computational flow dynamics analysis of the risk factors for lesion rupture. , 2005, Journal of neurosurgery.

[35]  M. Zamir,et al.  The Physics of Pulsatile Flow , 2000, Biological Physics Series.

[36]  H. Cloft,et al.  Gene Expression Profiling of Experimental Saccular Aneurysms Using Deoxyribonucleic Acid Microarrays , 2008, American Journal of Neuroradiology.

[37]  K. Kayembe,et al.  Cerebral Aneurysms and Variations in the Circle of Willis , 1984, Stroke.

[38]  D. Ku,et al.  Pulsatile flow in the human left coronary artery bifurcation: average conditions. , 1996, Journal of biomechanical engineering.

[39]  C. Putman,et al.  Characterization of cerebral aneurysms for assessing risk of rupture by using patient-specific computational hemodynamics models. , 2005, AJNR. American journal of neuroradiology.

[40]  Liliana Cesar,et al.  An Original Flow Diversion Device for the Treatment of Intracranial Aneurysms: Evaluation in the Rabbit Elastase-Induced Model , 2009, Stroke.

[41]  D. Kallmes,et al.  Elastase-induced saccular aneurysms in rabbits: comparison of geometric features with those of human aneurysms. , 2001, AJNR. American journal of neuroradiology.

[42]  A. Barakat,et al.  Unsteady and three-dimensional simulation of blood flow in the human aortic arch. , 2002, Journal of biomechanical engineering.

[43]  H. Kikuchi,et al.  Cerebral aneurysms arising at nonbranching sites. An experimental Study. , 1997, Stroke.

[44]  Zhijie Wang,et al.  Complex Hemodynamics at the Apex of an Arterial Bifurcation Induces Vascular Remodeling Resembling Cerebral Aneurysm Initiation , 2007, Stroke.

[45]  J Max Findlay,et al.  The aspect ratio (dome/neck) of ruptured and unruptured aneurysms. , 2003, Journal of neurosurgery.