Computational representation and hemodynamic characterization of in vivo acquired severe stenotic renal artery geometries using turbulence modeling.

The present study reports on computational fluid dynamics in the case of severe renal artery stenosis (RAS). An anatomically realistic model of a renal artery was reconstructed from CT scans, and used to conduct CFD simulations of blood flow across RAS. The recently developed shear stress transport (SST) turbulence model was pivotally applied in the simulation of blood flow in the region of interest. Blood flow was studied in vivo under the presence of RAS and subsequently in simulated cases before the development of RAS, and after endovascular stent implantation. The pressure gradients in the RAS case were many orders of magnitude larger than in the healthy case. The presence of RAS increased flow resistance, which led to considerably lower blood flow rates. A simulated stent in place of the RAS decreased the flow resistance at levels proportional to, and even lower than, the simulated healthy case without the RAS. The wall shear stresses, differential pressure profiles, and net forces exerted on the surface of the atherosclerotic plaque at peak pulse were shown to be of relevant high distinctiveness, so as to be considered potential indicators of hemodynamically significant RAS.

[1]  A. J. Man in 't Veld,et al.  Stent placement for renal arterial stenosis: where do we stand? A meta-analysis. , 2000, Radiology.

[2]  C. White,et al.  Catheter-based therapy for atherosclerotic renal artery stenosis. , 2006, Circulation.

[3]  D. Ku,et al.  Wall stress and strain analysis using a three-dimensional thick-wall model with fluid–structure interactions for blood flow in carotid arteries with stenoses , 1999 .

[4]  D. Ku,et al.  A nonlinear axisymmetric model with fluid-wall interactions for steady viscous flow in stenotic elastic tubes. , 1999, Journal of biomechanical engineering.

[5]  T. Zeller Renal artery stenosis , 2007, Current treatment options in cardiovascular medicine.

[6]  P. Serruys,et al.  Extension of Increased Atherosclerotic Wall Thickness Into High Shear Stress Regions Is Associated With Loss of Compensatory Remodeling , 2003, Circulation.

[7]  G. Woodruff,et al.  BLOOD FLOW IN ARTERIES , 2009 .

[8]  A. D. Grosvenor,et al.  Evaluation of one‐ and two‐equation low‐Re turbulence models. Part II—Vortex‐generator jet and diffusing S‐duct flows , 2003 .

[9]  C. Rees,et al.  Stents for atherosclerotic renovascular disease. , 1999, Journal of vascular and interventional radiology : JVIR.

[10]  A. D. Grosvenor,et al.  Evaluation of one‐ and two‐equation low‐Re turbulence models. Part I—Axisymmetric separating and swirling flows , 2003 .

[11]  P. Serruys,et al.  Geometry guided data averaging enables the interpretation of shear stress related plaque development in human coronary arteries. , 2005, Journal of biomechanics.

[12]  J. Buchanan,et al.  Rheological effects on pulsatile hemodynamics in a stenosed tube , 2000 .

[13]  D. Ku,et al.  A 3-D thin-wall model with fluid–structure interactions for blood flow in carotid arteries with symmetric and asymmetric stenoses , 1999 .

[14]  K. Takayama,et al.  Computational replicas: anatomic reconstructions of cerebral vessels as volume numerical grids at three-dimensional angiography. , 2004, AJNR. American journal of neuroradiology.

[15]  Nikos Stergiopulos,et al.  Augmentation of Wall Shear Stress Inhibits Neointimal Hyperplasia After Stent Implantation: Inhibition Through Reduction of Inflammation? , 2003, Circulation.

[16]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[17]  C. Taylor,et al.  Predictive medicine: computational techniques in therapeutic decision-making. , 1999, Computer aided surgery : official journal of the International Society for Computer Aided Surgery.

[18]  E LorensenWilliam,et al.  Marching cubes: A high resolution 3D surface construction algorithm , 1987 .

[19]  T. Coakley,et al.  TURBULENCE MODELING VALIDATION , 1997 .

[20]  S. Berger,et al.  A turbulence model for pulsatile arterial flows. , 2004, Journal of biomechanical engineering.

[21]  M. Bettmann,et al.  Guidelines for the Reporting of Renal Artery Revascularization in Clinical Trials , 2002, Journal of vascular and interventional radiology : JVIR.

[22]  Andrew J. Bulpitt,et al.  Spiral CT of abdominal aortic aneurysms: comparison of segmentation with an automatic 3D deformable model and interactive segmentation , 1998, Medical Imaging.

[23]  Don P Giddens,et al.  Effects of wall motion and compliance on flow patterns in the ascending aorta. , 2003, Journal of biomechanical engineering.

[24]  Thomas J. R. Hughes,et al.  Finite element modeling of blood flow in arteries , 1998 .

[25]  M. Bettmann,et al.  Guidelines for the reporting of renal artery revascularization in clinical trials. American Heart Association. , 2002, Circulation.

[26]  S. Berger,et al.  Flows in Stenotic Vessels , 2000 .

[27]  Marc S. Schwartzberg,et al.  Quality improvement guidelines for angiography, angioplasty, and stent placement in the diagnosis and treatment of renal artery stenosis in adults. , 2002, Journal of vascular and interventional radiology : JVIR.

[28]  J J Wentzel,et al.  Shear-Stress and Wall-Stress Regulation of Vascular Remodeling After Balloon Angioplasty: Effect of Matrix Metalloproteinase Inhibition , 2001, Circulation.

[29]  Charles Taylor,et al.  EXPERIMENTAL AND COMPUTATIONAL METHODS IN CARDIOVASCULAR FLUID MECHANICS , 2004 .

[30]  J J Wentzel,et al.  Relationship Between Neointimal Thickness and Shear Stress After Wallstent Implantation in Human Coronary Arteries , 2001, Circulation.

[31]  J. Callaghan Medical engineering & physics. , 2005, Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference.

[32]  Orlando Soto,et al.  Estimation of the differential pressure at renal artery stenoses , 2004, Magnetic Resonance in Medicine.

[33]  Ahmed Hassanein,et al.  Three-phase CFD analytical modeling of blood flow. , 2008, Medical engineering & physics.

[34]  F. R. Menter,et al.  A comparison of some recent eddy-viscosity turbulence models , 1996 .

[35]  Yiannis Ventikos,et al.  Computational simulation of intracoronary flow based on real coronary geometry. , 2004, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.

[36]  C. White,et al.  Catheter-based therapy for atherosclerotic renal artery stenosis. , 2007, Progress in cardiovascular diseases.

[37]  William E. Lorensen,et al.  Marching cubes: a high resolution 3D surface construction algorithm , 1996 .

[38]  D. Steinman,et al.  Two-equation turbulence modeling of pulsatile flow in a stenosed tube. , 2004, Journal of biomechanical engineering.

[39]  John M. Tarbell,et al.  Interaction between Wall Shear Stress and Circumferential Strain Affects Endothelial Cell Biochemical Production , 2000, Journal of Vascular Research.

[40]  Richard S.C. Cobbold,et al.  Pulsatile flow through constricted tubes: an experimental investigation using photochromic tracer methods , 1989, Journal of Fluid Mechanics.

[41]  Nikos Stergiopulos,et al.  Shear stress, vascular remodeling and neointimal formation. , 2003, Journal of biomechanics.

[42]  Francis Schmitt,et al.  Reconstructing the surface of unstructured 3D data , 1995, Medical Imaging.

[43]  Ghassan S. Kassab,et al.  Computer Modeling of Red Blood Cell Rheology in the Microcirculation: A Brief Overview , 2005, Annals of Biomedical Engineering.

[44]  T. Zeller Renal artery stenosis: epidemiology, clinical manifestation, and percutaneous endovascular therapy. , 2005, Journal of interventional cardiology.

[45]  L. Smith,et al.  Renal artery stenosis: prevalence and associated risk factors in patients undergoing routine cardiac catheterization. , 1992, Journal of the American Society of Nephrology : JASN.

[46]  R. Kamm,et al.  A fluid--structure interaction finite element analysis of pulsatile blood flow through a compliant stenotic artery. , 1999, Journal of biomechanical engineering.

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

[48]  M. Walsh,et al.  A mathematical model to predict the in vivo pulsatile drag forces acting on bifurcated stent grafts used in endovascular treatment of abdominal aortic aneurysms (AAA). , 2004, Journal of biomechanics.

[49]  C. R. Ethier,et al.  Requirements for mesh resolution in 3D computational hemodynamics. , 2001, Journal of biomechanical engineering.

[50]  Thomas J. R. Hughes,et al.  Finite Element Modeling of Three-Dimensional Pulsatile Flow in the Abdominal Aorta: Relevance to Atherosclerosis , 2004, Annals of Biomedical Engineering.

[51]  Steven H Frankel,et al.  Numerical modeling of pulsatile turbulent flow in stenotic vessels. , 2003, Journal of biomechanical engineering.