Effect of Blood Rheological Models on Patient Specific Cardiovascular System Simulations

Newtonian and Quemada blood viscosity models are implemented in order to simulate the rheological behavior of blood under pulsating flow conditions in a patient specific iliac bifurcation. The influence of the applied blood constitutive equations is monitored via the Wall Shear Stress (WSS) distribution, magnitude and oscillations, non-Newtonian importance factors, and viscosity values according to the shear rate. The distribution of WSS on the vascular wall follows a pattern which is independent of the chosen rheological model. On the other hand, the WSS magnitude and oscillations are directly related to the applied blood constitutive equations and the shear rate. It is concluded that the Newtonian approximation may be regarded satisfactory only in high shear and flow rates.

[1]  F. Grosveld,et al.  Atherosclerotic Lesion Size and Vulnerability Are Determined by Patterns of Fluid Shear Stress , 2006, Circulation.

[2]  Panagiotis Neofytou,et al.  Effects of blood models on flows through a stenosis , 2003 .

[3]  Panagiotis Neofytou,et al.  Vascular wall flow-induced forces in a progressively enlarged aneurysm model , 2008, Computer methods in biomechanics and biomedical engineering.

[4]  D. L. Fry Acute Vascular Endothelial Changes Associated with Increased Blood Velocity Gradients , 1968, Circulation research.

[5]  T. O'donnell,et al.  Pulsatile flow and atherosclerosis in the human carotid bifurcation: Positive correlation between plaque location and low and oscillating shear stress: Ku DN, Giddens DP, Zarins CK, et al. Arteriosclerosis 1985; 5: 293–302 , 1986 .

[6]  Timothy J. Pedley,et al.  The fluid mechanics of large blood vessels , 1980 .

[7]  H. Meng,et al.  Effects of arterial geometry on aneurysm growth: three-dimensional computational fluid dynamics study. , 2004, Journal of neurosurgery.

[8]  D. Quemada,et al.  Rheology of concentrated disperse systems III. General features of the proposed non-newtonian model. Comparison with experimental data , 1978 .

[9]  R. Abbate,et al.  Role of hemodynamic shear stress in cardiovascular disease. , 2011, Atherosclerosis.

[10]  D. Ku,et al.  Pulsatile Flow and Atherosclerosis in the Human Carotid Bifurcation: Positive Correlation between Plaque Location and Low and Oscillating Shear Stress , 1985, Arteriosclerosis.

[11]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[12]  L. Dintenfass Viscometry of Human Blood for Shear Rates of 0–100,000 sec−1 , 1966, Nature.

[13]  Milan Sonka,et al.  Plaque development, vessel curvature, and wall shear stress in coronary arteries assessed by X-ray angiography and intravascular ultrasound , 2006, Medical Image Anal..

[14]  Panagiotis Neofytou,et al.  Flow effects of blood constitutive equations in 3D models of vascular anomalies , 2006 .

[15]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[16]  G. Thurston,et al.  Viscoelasticity of human blood. , 1972, Biophysical journal.

[17]  M. L. Raghavan,et al.  Quantified aneurysm shape and rupture risk. , 2005, Journal of neurosurgery.

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

[19]  S. Charm,et al.  Viscometry of Human Blood for Shear Rates of 0-100,000 sec−1 , 1965, Nature.

[20]  Chia-Jung Hsu Numerical Heat Transfer and Fluid Flow , 1981 .

[21]  T. Pedley The Fluid Mechanics of Large Blood Vessels: Contents , 1980 .

[22]  Panagiotis Neofytou,et al.  A novel method for the generation of multi-block computational structured grids from medical imaging of arterial bifurcations. , 2012, Medical engineering & physics.

[23]  Barbara M. Johnston,et al.  Non-Newtonian blood flow in human right coronary arteries: steady state simulations. , 2004, Journal of biomechanics.

[24]  R. Nerem,et al.  Transendothelial transport of 131I-albumin. , 1976, Biorheology.