Blood flow in the rabbit aortic arch and descending thoracic aorta

The distribution of atherosclerotic lesions within the rabbit vasculature, particularly within the descending thoracic aorta, has been mapped in numerous studies. The patchy nature of such lesions has been attributed to local variation in the pattern of blood flow. However, there have been few attempts to model and characterize the flow. In this study, a high-order continuous Galerkin finite-element method was used to simulate blood flow within a realistic representation of the rabbit aortic arch and descending thoracic aorta. The geometry, which was obtained from computed tomography of a resin corrosion cast, included all vessels originating from the aortic arch (followed to at least their second generation) and five pairs of intercostal arteries originating from the proximal descending thoracic aorta. The simulations showed that small geometrical undulations associated with the ductus arteriosus scar cause significant deviations in wall shear stress (WSS). This finding highlights the importance of geometrical accuracy when analysing WSS or related metrics. It was also observed that two Dean-type vortices form in the aortic arch and propagate down the descending thoracic aorta (along with an associated skewed axial velocity profile). This leads to the occurrence of axial streaks in WSS, similar in nature to the axial streaks of lipid deposition found in the descending aorta of cholesterol-fed rabbits. Finally, it was observed that WSS patterns within the vicinity of intercostal branch ostia depend not only on local flow features caused by the branches themselves, but also on larger-scale flow features within the descending aorta, which vary between branches at different locations. This result implies that disease and WSS patterns in the vicinity of intercostal ostia are best compared on a branch-by-branch basis.

[1]  P. Weinberg,et al.  Contrasting patterns of spontaneous aortic disease in young and old rabbits. , 1998, Arteriosclerosis, thrombosis, and vascular biology.

[2]  Yubo Fan,et al.  Effect of Spiral Flow on the Transport of Oxygen in the Aorta: A Numerical Study , 2010, Annals of Biomedical Engineering.

[3]  C D Murray,et al.  The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. , 1926, Proceedings of the National Academy of Sciences of the United States of America.

[4]  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.

[5]  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.

[6]  Clark K. Colton,et al.  Microcinematographic studies of flow patterns in the excised rabbit aorta and its major branches. , 1997, Biorheology.

[7]  S. Sherwin,et al.  Unsteady Navier—Stokes solver using hybrid spectral/ hp element methods , 2000 .

[8]  S. Wolffram,et al.  Atheroprotective effects of dietary l-arginine increase with age in cholesterol-fed rabbits , 2011, British Journal of Nutrition.

[9]  J. Wyatt,et al.  The effects of prolonged ketamine-xylazine intravenous infusion on arterial blood pH, blood gases, mean arterial blood pressure, heart and respiratory rates, rectal temperature and reflexes in the rabbit. , 1989, Laboratory animal science.

[10]  A Kazakidi,et al.  Effect of Reynolds number and flow division on patterns of haemodynamic wall shear stress near branch points in the descending thoracic aorta , 2009, Journal of The Royal Society Interface.

[11]  C. Lang,et al.  An evaluation of three intravenous anesthetic regimens in New Zealand rabbits. , 1990, Laboratory animal science.

[12]  W. R. Dean,et al.  Note on the motion of fluid in a curved pipe , 1959 .

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

[14]  W. R. Dean XVI. Note on the motion of fluid in a curved pipe , 1927 .

[15]  Y. Fung,et al.  Mechanics of the Circulation , 2011, Developments in Cardiovascular Medicine.

[16]  G. Karniadakis,et al.  Spectral/hp Element Methods for Computational Fluid Dynamics , 2005 .

[17]  Ghassan S. Kassab,et al.  The Flow Field along the Entire Length of Mouse Aorta and Primary Branches , 2008, Annals of Biomedical Engineering.

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

[19]  C. R. Ethier,et al.  Hemodynamics in the mouse aortic arch as assessed by MRI, ultrasound, and numerical modeling. , 2007, American journal of physiology. Heart and circulatory physiology.

[20]  U. Windberger,et al.  Whole Blood Viscosity, Plasma Viscosity and Erythrocyte Aggregation in Nine Mammalian Species: Reference Values and Comparison of Data , 2003, Experimental physiology.

[21]  Yubo Fan,et al.  A numerical study on the flow of blood and the transport of LDL in the human aorta: the physiological significance of the helical flow in the aortic arch. , 2009, American journal of physiology. Heart and circulatory physiology.

[22]  R. Marini,et al.  Measurement of flow rates through aortic branches in the anesthetized rabbit. , 1997, Laboratory animal science.

[23]  Spencer J. Sherwin,et al.  Nonlinear particle tracking for high-order elements , 2001 .

[24]  Sharon W. Kirschbaum,et al.  The role of shear stress in atherosclerosis , 2004, Cell Biochemistry and Biophysics.

[25]  R. Pitt Numerical simulation of fluid mechanical phenomena in idealised physiological geometries : stenosis and double bend , 2006 .

[26]  A. Shaaban,et al.  Wall shear stress and early atherosclerosis: a review. , 2000, AJR. American journal of roentgenology.

[27]  S. Sherwin,et al.  The spectral/hp element modelling of steady flow in non‐planar double bends , 2008 .

[28]  W. R. Taylor,et al.  Hemodynamic Shear Stresses in Mouse Aortas: Implications for Atherogenesis , 2006, Arteriosclerosis, thrombosis, and vascular biology.

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

[30]  A P Avolio,et al.  A comparative study of pulsatile arterial hemodynamics in rabbits and guinea pigs. , 1976, The American journal of physiology.

[31]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[32]  T. Kenner,et al.  The continuous high-precision measurement of the density of flowing blood , 1977, Pflügers Archiv.

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

[34]  S. Weisbroth,et al.  The Biology of the Laboratory Rabbit , 1974 .

[35]  G E Karniadakis,et al.  LARGE‐SCALE SIMULATION OF THE HUMAN ARTERIAL TREE , 2009, Clinical and experimental pharmacology & physiology.

[36]  George Em Karniadakis,et al.  A NEW TRIANGULAR AND TETRAHEDRAL BASIS FOR HIGH-ORDER (HP) FINITE ELEMENT METHODS , 1995 .

[37]  J. Farey,et al.  XXXVI. On blasting with gunpowder , 1804 .

[38]  Nadia Magnenat-Thalmann,et al.  The SPHERIGON: a simple polygon patch for smoothing quickly your polygonal meshes , 1998, Proceedings Computer Animation '98 (Cat. No.98EX169).