Simulation of a pulsatile non-Newtonian flow past a stenosed 2D artery with atherosclerosis

Atherosclerotic plaque can cause severe stenosis in the artery lumen. Blood flow through a substantially narrowed artery may have different flow characteristics and produce different forces acting on the plaque surface and artery wall. The disturbed flow and force fields in the lumen may have serious implications on vascular endothelial cells, smooth muscle cells, and circulating blood cells. In this work a simplified model is used to simulate a pulsatile non-Newtonian blood flow past a stenosed artery caused by atherosclerotic plaques of different severity. The focus is on a systematic parameter study of the effects of plaque size/geometry, flow Reynolds number, shear-rate dependent viscosity and flow pulsatility on the fluid wall shear stress and its gradient, fluid wall normal stress, and flow shear rate. The computational results obtained from this idealized model may shed light on the flow and force characteristics of more realistic blood flow through an atherosclerotic vessel.

[1]  K. Smith,et al.  Theoretical models for transport of low-density lipoproteins in the arterial wall. , 1977, Advances in experimental medicine and biology.

[2]  F. N. van de Vosse,et al.  The influence of the non-Newtonian properties of blood on the flow in large arteries: steady flow in a carotid bifurcation model. , 1999, Journal of biomechanics.

[3]  Shu Chien,et al.  Molecular and mechanical bases of focal lipid accumulation in arterial wall. , 2003, Progress in biophysics and molecular biology.

[4]  Jiezhi Wu,et al.  Vorticity and Vortex Dynamics , 2006 .

[5]  Xi-Yun Lu,et al.  Vortex formation and force characteristics of a foil in the wake of a circular cylinder , 2004 .

[6]  D. Holdsworth,et al.  Flow Patterns at the Stenosed Carotid Bifurcation: Effect of Concentric versus Eccentric Stenosis , 2000, Annals of Biomedical Engineering.

[7]  Xi-yun Lu,et al.  Numerical investigation of the non-Newtonian pulsatile blood flow in a bifurcation model with a non-planar branch. , 2006, Journal of biomechanics.

[8]  Fiona Keegan,et al.  Experimental investigation into non-Newtonian fluid flow through gradual contraction geometries , 2009 .

[9]  Luoding Zhu,et al.  Effects of stent sizing on endothelial and vessel wall stress: potential mechanisms for in-stent restenosis. , 2009, Journal of applied physiology.

[10]  J. Levick,et al.  An Introduction to Cardiovascular Physiology , 2009 .

[11]  Vartan Kurtcuoglu,et al.  Computational modeling of coupled blood-wall mass transport of LDL: effects of local wall shear stress. , 2008, American journal of physiology. Heart and circulatory physiology.

[12]  R. Schroter,et al.  Arterial Wall Shear and Distribution of Early Atheroma in Man , 1969, Nature.

[13]  Ghassan S Kassab,et al.  Impact of main branch stenting on endothelial shear stress: role of side branch diameter, angle and lesion , 2012, Journal of The Royal Society Interface.

[14]  J. Fitz-Gerald.  Atheroma and arterial wall shear - Appendix I, II, III , 1971, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[15]  J A Sherratt,et al.  Lipoprotein oxidation and its significance for atherosclerosis: A mathematical approach , 2002, Bulletin of mathematical biology.

[16]  Peter D Weinberg,et al.  Acute and chronic exposure to shear stress have opposite effects on endothelial permeability to macromolecules. , 2010, American journal of physiology. Heart and circulatory physiology.

[17]  Mutsuto Kawahara,et al.  A FINITE ELEMENT SCHEME BASED ON THE VELOCITY CORRECTION METHOD FOR THE SOLUTION OF THE TIME-DEPENDENT INCOMPRESSIBLE NAVIER-STOKES EQUATIONS , 1991 .

[18]  A. Hazel,et al.  Spatial comparison between wall shear stress measures and porcine arterial endothelial permeability. , 2004, American journal of physiology. Heart and circulatory physiology.

[19]  M. Thubrikar,et al.  Vascular mechanics and pathology , 2007 .

[20]  T. Mexia,et al.  Author ' s personal copy , 2009 .

[21]  Xi-yun Lu,et al.  Non-Newtonian effects of blood flow on hemodynamics in distal vascular graft anastomoses. , 2006, Journal of biomechanics.

[22]  Dalin Tang,et al.  3D critical plaque wall stress is a better predictor of carotid plaque rupture sites than flow shear stress: An in vivo MRI-based 3D FSI study. , 2010, Journal of biomechanical engineering.

[23]  Xi-Yun Lu,et al.  Dynamic responses of a two-dimensional flapping foil motion , 2006 .

[24]  P. Libby,et al.  Progress and challenges in translating the biology of atherosclerosis , 2011, Nature.

[25]  R. Schroter,et al.  Atheroma and arterial wall shear - Observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis , 1971, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[26]  David W. Holdsworth,et al.  Clinical Doppler ultrasound for the assessment of plaque ulceration in the stenosed carotid bifurcation by detection of distal turbulence intensity: a matched model study , 2009, European Radiology.

[27]  William J Easson,et al.  Distribution of wall shear rate throughout the arterial tree: a case study. , 2007, Atherosclerosis.

[28]  A. Hughes,et al.  Analysis of complex flow and the relationship between blood pressure, wall shear stress, and intima-media thickness in the human carotid artery. , 2007, American journal of physiology. Heart and circulatory physiology.

[29]  Yi Liu,et al.  Fluid–Structure Interaction (FSI) Modeling in the Cardiovascular System , 2010 .

[30]  Xi-yun Lu,et al.  Numerical investigation of the non-Newtonian blood flow in a bifurcation model with a non-planar branch. , 2004, Journal of biomechanics.

[31]  P R Hoskins,et al.  MRI measurement of wall shear stress vectors in bifurcation models and comparison with CFD predictions , 2001, Journal of magnetic resonance imaging : JMRI.

[32]  Xi-yun Lu,et al.  Numerical Simulation of an Oscillating Flow Past a Circular Cylinder in the Vicinity of a Plane Wall , 2008 .

[33]  C F Dewey,et al.  Shear stress gradients remodel endothelial monolayers in vitro via a cell proliferation-migration-loss cycle. , 1997, Arteriosclerosis, thrombosis, and vascular biology.

[34]  D. Saloner,et al.  Numerical analysis of flow through a severely stenotic carotid artery bifurcation. , 2002, Journal of biomechanical engineering.

[35]  P. Fischer,et al.  Simulation of high-Reynolds number vascular flows , 2007 .

[36]  Ghassan S Kassab,et al.  Mis-sizing of stent promotes intimal hyperplasia: impact of endothelial shear and intramural stress. , 2011, American journal of physiology. Heart and circulatory physiology.

[37]  A. Simmons,et al.  Large eddy simulation of a stenosed artery using a femoral artery pulsatile flow profile. , 2011, Artificial organs.

[38]  E L Yellin,et al.  Laminar‐Turbulent Transition Process in Pulsatile Flow , 1966, Circulation research.

[39]  A. Hughes,et al.  Analysis of flow disturbance in a stenosed carotid artery bifurcation using two-equation transitional and turbulence models. , 2008, Journal of biomechanical engineering.

[41]  S. Reddy,et al.  Pulsatile Flow Regulates Monocyte Adhesion to Oxidized Lipid–Induced Endothelial Cells , 2001, Arteriosclerosis, thrombosis, and vascular biology.

[42]  D. Ku.  BLOOD FLOW IN ARTERIES , 1997 .

[43]  David W Holdsworth,et al.  Flow patterns in carotid bifurcation models using pulsed Doppler ultrasound: effect of concentric vs. eccentric stenosis on turbulence and recirculation. , 2010, Ultrasound in medicine & biology.

[44]  D Saloner,et al.  Experimental flow studies in exact-replica phantoms of atherosclerotic carotid bifurcations under steady input conditions. , 2003, Journal of biomechanical engineering.

[45]  E. Edelman,et al.  Role of endothelial shear stress in the natural history of coronary atherosclerosis and vascular remodeling: molecular, cellular, and vascular behavior. , 2007, Journal of the American College of Cardiology.

[46]  G. Karniadakis,et al.  Analyzing Transient Turbulence in a Stenosed Carotid Artery by Proper Orthogonal Decomposition , 2009, Annals of Biomedical Engineering.

[47]  van de Fn Frans Vosse,et al.  The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 90° curved tube , 1999 .