Abstract
It is well accepted that blood flow in the human aorta is spiral by nature, with beneficial impacts for the cardiovascular system in the form of improved haemodynamics and efficient perfusion. This study investigates the effect of aortic spiral blood flow on wall shear stress (WSS) in computer-generated models of the left main trunk (LMT), also known as left main coronary artery, with varying take-off angle, stenosis severity and eccentricity. The results show that the spirality effect causes a substantial reduction in maximum WSS (WSSmax), average WSS (WSSave) and size of regions with low WSS. The effects of spiral flow on WSSmax become more significant with increasing LMT take-off angle and stenosis eccentricity, and they become less significant with increasing stenosis severity. The aortic spiral blood flow intensity, LMT take-off angle, stenosis severity and eccentricity statistically significantly predict the WSS; however, the strongest predictor of WSS is stenosis severity (F(4, 399) = 3653.85, p < 0.001 for WSSmax and F(4, 399) = 913.46, p < 0.001 for WSSave), followed by LMT take-off angle (F(4, 399) = 582.735, p < 0.001 for WSSmax and F(4, 399) = 163.16, p < 0.001 for WSSave), stenosis eccentricity (F(4, 399) = 230.15, p < 0.001 for WSSmax and F(4, 399) = 52.94, p < 0.001 for WSSave) and blood flow spirality (F(4, 399) = 112.37, p < 0.001 for WSSmax and F(4, 399) = 32.18, p < 0.001 for WSSave). Our findings suggest that naturally or artificially induced spiral flow in the aorta potentially has atheroprotective effects in the LMT.
Similar content being viewed by others
References
J. Fajadet and A. Chieffo, Current management of left main coronary artery disease, Eur. Heart J., 33 (2012) 36–50b.
S.-J. Kang et al., Intravascular ultrasound-derived predictors for fractional flow reserve in intermediate left main disease, JACC: Cardiovascular Interventions, 4 (11) (2011) 1168–1174.
C. A. Thompson et al., Classification and atherosclerosis distribution in patients with left main coronary disease, J. Interv Cardiol, 22 (2009) 431–436.
P. Tyczynski et al., Intravascular ultrasound assessment of ruptured atherosclerotic plaques in left main coronary arteries, Am J Cardiol, 96 (2005) 794–798.
M. Valgimigli et al., Plaque composition in the left main stem mimics the distal but not the proximal tract of the left coronary artery: Influence of clinical presentation, length of the left main trunk, lipid profile, and systemic levels of C-reactive protein, J. Am. Coll Cardiol, 49 (2007) 23–31.
A. M. Malek, S. L. Alper and S. Izumo, Hemodynamic shear stress and its role in atherosclerosis, JAMA, 282 (1999) 2035–2042.
D. M. Wootton and D. N. Ku, Fluid mechanics of vascular systems, diseases, and thrombosis, Annu. Rev. Biomed. Eng., 1 (1999) 299–329.
F. Li, M. M. McDermott, D. Li, T. J. Carroll, D. S. Hippe, C. M. Kramer, Z. Fan, X. Zhao, T. S. Hatsukami, B. Chu, J. Wang and C. Yuan, The association of lesion eccentricity with plaque morphology and components in the superficial femoral artery: A high-spatial-resolution, multi-contrast weighted cmr study, J. Cardiovasc Magn. Reson, 12 (2010) 37.
A. R. Zeina, U. Rosenschein and E. Barmeir, Dimensions and anatomic variations of left main coronary artery in normal population: Multidetector computed tomography assessment, Coron Artery Dis., 18 (2007) 477–482.
N. Nishida, Y. Hata and K. Kinoshita, High takeoff of the left main coronary artery at autopsy after sudden unexpected death in a male, Pathology, 46 (2014) 361–364.
J. V. Soulis et al., Wall shear stress in normal left coronary artery tree, J. Biomech., 39 (2006) 742–749.
L. Goubergrits et al., CFD analysis in an anatomically realistic coronary artery model based on non-invasive 3d imaging: Comparison of magnetic resonance imaging with computed tomography, Int. J. Cardiovasc Imaging, 24 (2008) 411–421.
T. Frauenfelder et al., In-vivo flow simulation in coronary arteries based on computed tomography datasets: Feasibility and initial results, Eur. Radiol, 17 (2007) 1291–300.
E. Wellnhofer et al., Novel non-dimensional approach to comparison of wall shear stress distributions in coronary arteries of different groups of patients, Atherosclerosis, 202 (2009) 483–490.
H. J. Kim et al., Patient-specific modeling of blood flow and pressure in human coronary arteries, Ann. Biomed. Eng., 38 (2010) 3195–3209.
J. F. Verhey and C. Bara, Influence on fluid dynamics of coronary artery outlet angle variation in artificial aortic root prosthesis, Biomed. Eng. Online, 7 (2008) 9.
A. Javadzadegan et al., Flow recirculation zone length and shear rate are differentially affected by stenosis severity in human coronary arteries, Am. J. Physiol Heart Circ Physiol, 304 (2013) H559–566.
S. Einav and D. Bluestein, Dynamics of blood flow and platelet transport in pathological vessels, Ann. N Y Acad. Sci., 1015 (2004) 351–366.
E. Falk, P. K. Shah and V. Fuster, Coronary plaque disruption, Circulation, 92 (1995) 657–671.
C. L. Feldman et al., Determination of in vivo velocity and endothelial shear stress patterns with phasic flow in human coronary arteries: A methodology to predict progression of coronary atherosclerosis, Am. Heart J., 143 (2002) 931–939.
A. Javadzadegan et al., Correlation between Reynolds number and eccentricity effect in stenosed artery models, Technol. Health Care, 21 (2013) 357–367.
J. G. Houston et al., Spiral laminar flow in the abdominal aorta: A predictor of renal impairment deterioration in patients with renal artery stenosis?, Nephrol Dial Transplant, 19 (2004) 1786–1791.
L. Frazin, G. Lanza, D. Mehlman, K. B. Chandran, M. Vonesh, C. Spitzzeri, S. Mcgee, J. Talano and D. Mcpherson, Rotational blood-flow in the thoracic aorta, Clin. Res., 38 (1990) 331A.
P. A. Stonebridge and C. M. Brophy, Spiral laminar flow in arteries?, The Lancet, 338 (1991) 1360–1361.
P. A. Stonebridge et al., Spiral laminar flow in vivo, Clin Sci. (Lond), 91 (1996) 17–21.
A. Javadzadegan et al., Fluid-structure interaction investigation of spiral flow in a model of abdominal aortic aneurysm, European Journal of Mechanics, B/Fluids, 46 (2014) 109–117.
A. Javadzadegan, A. Simmons and T. Barber, Spiral blood flow in aorta-renal bifurcation models, Comput. Methods Biomech. Biomed. Engin., 19 (2016) 964–976.
Z. Chen et al., Swirling flow can suppress flow disturbances in endovascular stents: A numerical study, ASAIO J., 55 (2009) 543–549.
M. Grigioni et al., A mathematical description of blood spiral flow in vessels: Application to a numerical study of flow in arterial bending, J. Biomech., 38 (2005) 1375–1386.
F. Linge, M. A. Hye and M. C. Paul, Pulsatile spiral blood flow through arterial stenosis, Comput. Methods Biomech. Biomed. Engin., 17 (2014) 1727–1737.
M. C. Paul and A. Larman, Investigation of spiral blood flow in a model of arterial stenosis, Med. Eng. Phys., 31 (2009) 1195–1203.
H. Ha and S. J. Lee, Effect of swirling inlet condition on the flow field in a stenosed arterial vessel model, Med. Eng. Phys., 36 (2014) 119–128.
D. Fulker et al., Flow visualisation study of spiral flow in the aorta-renal bifurcation, Comput. Methods Biomech. Biomed. Engin., 20 (2017) 1438–1441.
U. Morbiducci et al., Mechanistic insight into the physiological relevance of helical blood flow in the human aorta: An in vivo study, Biomech. Model Mechanobiol, 10 (2011) 339–355.
A. Hager et al., Diameters of the thoracic aorta throughout life as measured with helical computed tomography, The Journal of Thoracic and Cardiovascular Surgery, 123 (6) (2002) 1060–1066.
S. Jin et al., Flow patterns and wall shear stress distributions at atherosclerotic-prone sites in a human left coronary artery—an exploration using combined methods of ct and computational fluid dynamics, Conf. Proc. IEEE Eng. Med. Biol. Soc., 5 (2004) 3789–3791.
M. Chang et al., Anatomical and morphological survey of the left main coronary artery by computed tomography coronary angiogram, Heart, Lung and Circulation, 20 (2011) S159.
I. V. Pivkin et al., Combined effects of pulsatile flow and dynamic curvature on wall shear stress in a coronary artery bifurcation model, J. Biomech., 38 (2005) 1283–1290.
B. G. Brown et al., Quantitative coronary arteriography: estimation of dimensions, hemodynamic resistance, and atheroma mass of coronary artery lesions using the arteriogram and digital computation, Circulation, 55 (2) (1977) 329–337.
D. C. Wilcox, Turbulence modeling for CFD, DCW industries La Canada, CA, 2 (1993).
D. L. Fry, Acute vascular endothelial changes associated with increased blood velocity gradients, Circ. Res., 22 (1968) 165–197.
Y. Fukumoto et al., Localized elevation of shear stress is related to coronary plaque rupture: A 3-dimensional intravascular ultrasound study with in-vivo color mapping of shear stress distribution, J. Am. Coll Cardiol, 51 (2008) 645–650.
F. J. Gijsen et al., Strain distribution over plaques in human coronary arteries relates to shear stress, Am. J. Physiol. Heart Circ Physiol., 295 (2008) H1608–614.
E. Falk, Stable versus unstable atherosclerosis: Clinical aspects, American Heart Journal, 138 (5) (1999) S421–S425.
Y. Wang et al., High shear stress induces atherosclerotic vulnerable plaque formation through angiogenesis, Regen Biomater, 3 (2016) 257–267.
I. Cicha et al., Connective tissue growth factor is released from platelets under high shear stress and is differentially expressed in endothelium along atherosclerotic plaques, Clin Hemorheol Microcirc, 35 (2006) 203–206.
C. Yang et al., Advanced human carotid plaque progression correlates positively with flow shear stress using follow-up scan data: An in vivo mri multi-patient 3d fsi study, J. Biomech., 43 (2010) 2530–2538.
L. D. Fisher et al., Reproducibility of coronary arteriographic reading in the coronary artery surgery study (Cass), Cathet Cardiovasc Diagn, 8 (1982) 565–575.
H. Samady et al., Coronary artery wall shear stress is associated with progression and transformation of atherosclerotic plaque and arterial remodeling in patients with coronary artery disease, Circulation, 124 (7) (2011) 779–788.
J. A. Schaar et al., Incidence of high-strain patterns in human coronary arteries. Assessment with threedimensional intravascular palpography and correlation with clinical presentation, Circulation, 109 (2004) 2716–2719.
Y. Zeng, Endothelial glycocalyx: Novel insight into atherosclerosis, Journal of Biomedicine, 2 (2017) 109–116.
R. L. Rosenthal, I. A. Carrothers and J. M. Schussler, Benign or malignant anomaly? Very high takeoff of the left main coronary artery above the left coronary sinus, Tex Heart Inst. J., 39 (2012) 538–541.
A. Javadzadegan et al., Haemodynamic assessment of human coronary arteries is affected by degree of freedom of artery movement, Comput. Methods Biomech. Biomed. Engin., 20 (2017) 260–272.
S. Koyama et al., Impact of top end anastomosis design on patency and flow stability in coronary artery bypass grafting, Heart and Vessels, 31 (5) (2016) 643–648.
R. Pitt, Numerical simulation of fluid mechanical phenomena in idealised physiological geometries: Stenosis and double bend, Thesis (2005).
X. Liu et al., Effect of non-Newtonian and pulsatile blood flow on mass transport in the human aorta, Journal of Biomechanics, 44 (6) (2011) 1123–1131.
C. Vlachopoulos, M. O'Rourke and W. Nichols, McDonald's blood flow in arteries, Sixth Edition, London: CRC Press (2011).
K. Itatani et al., Optimal conduit size of the extracardiac fontan operation based on energy loss and flow stagnation, The Annals of Thoracic Surgery, 88 (2) (2009) 565–573.
Y. Shimizu et al., Flow observations in elastic stenosis biomodel with comparison to rigid-like model, Technol. Health Care, 21 (4) (2013) 305–314.
S. Miyazaki et al., Validation of numerical simulation methods in aortic arch using 4D Flow MRI, Heart and Vessels, 32 (8) (2017) 1032–1044.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Sung-Jin Kim
Abouzar Moshfegh, B.Sc., M.Sc., Ph.D., is currently a research fellow at Macquarie University and honorary hospital scientist at ANZAC research institute, Australia. His Ph.D. was attained from University of Sydney in multiscale simulation of fluid dynamics, and later on he continued active research in biomedical engineering and haemodynamic modelling of pathophysiology of cardiovascular disorders.
Ashkan Javadzadegan is a biomedical engineer, with a Ph.D. in Biomedical Engineering from the University of Sydney (Australia). He currently holds a Research Fellowship position at Faculty of Medicine and Health Sciences at Macquarie University (Australia). His main research interests are medical image processing and cardiovascular biomechanics.
Zhaoqi Zhang received his Master of Professional Engineering (Biomedical) from University of Sydney, Australia, in 2018. His research interests include computational fluid dynamics of cardiovascular system and finite element analysis of arterial stent.
Hamid Hassanzadeh Afrouzi received his Ph.D. in Mechanical Engineering from Babol Noushirvani University of Technology, Iran, in 2018. His research interests include Meso scale simulation techniques such as LBM and DPD in biomedical engineering and heat transfer applications.
Mohammad Omidi received his Master’s degree in mechanical Engineering from Babol Noushirvani University of Technology, Iran, in 2016. His research interests include computational fluid dynamic of thermal and biomedical engineering.
Rights and permissions
About this article
Cite this article
Moshfegh, A., Javadzadegan, A., Zhang, Z. et al. Effect of aortic spiral blood flow on wall shear stress in stenosed left main coronary arteries with varying take-off angle, stenosis severity and eccentricity. J Mech Sci Technol 32, 4003–4011 (2018). https://doi.org/10.1007/s12206-018-0751-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-018-0751-2