Fluid structure interaction study of stenosed carotid artery considering the effects of blood pressure. (English) Zbl 1519.92058
Summary: Atherosclerosis is the most common cardiovascular disease (CVD) causing increased morbidity. Although atherosclerosis is a general disease involving several factors, it preferentially affects the wall of the vessel bifurcations. The use of advanced computational fluid dynamics (CFD) techniques has the potential to shed more light in the further understanding of the causes of the disease and perhaps in its early diagnosis. In this work, a three-dimensional (3D) fluid structure interaction (FSI) study was carried out for a patient specific carotid artery. By considering physiological conditions, first the normal and then with hypertension disease, haemodynamic parameters were evaluated to better understand the genesis and progression of atherosclerotic plaques in the carotid artery bifurcation. Two-way FSI was performed by applying a fully implicit second-order backward Euler differencing scheme using commercial software ANSYS and ANSYS CFX (version 19.0). Arbitrary Lagrangian-Eulerian (ALE) formulation was employed to calculate the arterial response by using the temporal blood response. Due to arterial bifurcation, obvious velocity reduction and backflow formation were observed which decreased shear stress and made it oscillatory at the starting point of the internal carotid artery near the carotid sinus, which resulted in low shear stress. Oscillatory shear index (OSI) signifies oscillatory behaviour of artery wall shear stress. By using anatomically realistic 3D geometry and representative physiological conditions, the results obtained for shear stress are more acceptable. Comparison of the results of this study with those in the published literature shows that the regions with low wall shear stress and with OSI value greater than 0.3 pose potential risk to the development of plaques. It was observed that haemodynamics of the carotid artery was very much affected by the geometry and flow conditions. Furthermore, regions of relatively low wall shear stress were observed post stenosis, which is a known cause of plaque development and progression.
MSC:
| 92C35 | Physiological flow |
| 76Z05 | Physiological flows |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
Keywords:
carotid artery stenosis; atherosclerosis; haemodynamics; fluid structure interaction; wall shear stress; arterial deformation; Newtonian model; oscillatory shear indexSoftware:
ANSYS-CFXReferences:
| [1] | Agarwal, R.; Katiyar, V. K.; Pradhan, P., A mathematical modeling of pulsatile flow in carotid artery bifurcation, International Journal of Engineering Science, 46, 11, 1147-1156 (2008) · Zbl 1213.76262 |
| [2] | Baek, S.; Gleason, R. L.; Rajagopal, K. R.; Humphrey, J. D., Theory of small on large: Potential utility in computations of fluid-solid interactions in arteries, Computer Methods in Applied Mechanics and Engineering, 196, 31-32, 3070-3078 (2007) · Zbl 1127.74026 |
| [3] | Bakker, P. G., Bifurcations in flow patterns nonlinear topics in the mathematical sciences (1991), Springer: Springer Dordrecht · Zbl 0755.76001 |
| [4] | Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J.R., Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Computational Mechanics, 38, 4-5, 310-322 (2006) · Zbl 1161.74020 |
| [5] | Bazilevs, Y.; Takizawa, K.; Tezduyar, T. E., Computational fluid-structure interaction: Methods and applications (2013), John Wiley and Sons · Zbl 1286.74001 |
| [6] | Bella, J. N.; Roman, M. J.; Pini, R.; Schwartz, J. E.; Pickering, T. G.; Devereux, R. B., Assessment of arterial compliance by carotid midwall strain-stress relation in hypertension, Hypertension, 33, 3, 793-799 (2012) |
| [7] | Cho, S. W.; Kim, S. W.; Sung, M. H.; Rou, K. C.; Ryou, H. S., Fluid-structure interaction analysis on the effects of vessel material properties on blood flow characteristics in stenosed arteries under axial rotation, Korea Australia Rheology Journal, 23, 1, 7-16 (2011) |
| [8] | Corrada, M. M.; Hayden, K. M.; Paganini-Hill, A.; Bullain, S. S.; DeMoss, J.; Aguirre, C., Age of onset of hypertension and risk of dementia in the oldest-old: The 90+ study, Alzheimer’s and Dementia, 13, 2, 103-110 (2017) |
| [9] | Degroote, J.; Haelterman, R.; Annerel, S.; Vierendeels, J., Coupling techniques for partitioned fluid-structure interaction simulations with black-box solvers., In 10th Proceedings, MpCCI User Forum, 82-91 (2009) |
| [10] | Eliasziw, M.; Kennedy, J.; Hill, M. D.; Buchan, A. M.; Barnett, H. J.M., Early risk of stroke after a transient ischemic attack in patients with internal carotid artery disease, Canadian Medical Association Journal, 170, 7 (2004), 1105 LP - 1109 |
| [11] | Fox, B.; James, K.; Morgan, B.; Seed, A., Distribution of fatty and fibrous plaques in young human coronary arteries, Atherosclerosis, 41, 2-3, 337-347 (1982) |
| [12] | Fung, Y. C., Biomechanics: Mechanical properties of living tissues., 321-391 (1993), Springer |
| [13] | Gasser, T. C.; Holzapfel, G. A., Finite element modeling of balloon angioplasty by considering overstretch of remnant non-diseased tissues in lesions, Computational Mechanics, 40, 1, 47-60 (2007) · Zbl 1175.74055 |
| [14] | Gijsen, F. J.H.; Allanic, E.; Van De Vosse, F. N.; Janssen, J. D., The influence of the non-Newtonian properties of blood on the flow in large arteries: Unsteady flow in a 90°curved tube, Journal of Biomechanics, 32, 7, 705-713 (1999) |
| [15] | Hodis, H. N.; Mack, W. J.; LaBree, L.; Selzer, R. H.; Liu, C.; Liu, C., The role of carotid arterial intima-media thickness in predicting clinical coronary events, Annals of Internal Medicine, 128, 4, 262-269 (1998) |
| [16] | How, T. V., Advances in hemodynamics and hemorheology. Volume 1 (1996), JAI Press |
| [17] | Humphrey, J. D.; Epstein, M., Cardiovascular solid mechanics: Cells, tissues, and organs, Applied Mechanics Reviews, 55, 5, B103-B104 (2002) |
| [18] | Janela, J.; Moura, A.; Sequeira, A., A 3D non-Newtonian fluid-structure interaction model for blood flow in arteries, Journal of Computational and Applied Mathematics, 234, 9, 2783-2791 (2010) · Zbl 1192.92014 |
| [19] | Javaid, A.; Alfishawy, M., Internal Carotid Artery Stenosis Presenting with Limb Shaking TIA, Case Reports in Neurological Medicine, 2016, 3656859, 1-4 (2016) |
| [20] | Jeziorska, M.; Woolley, D. E., Local neovascularization and cellular composition within vulnerable regions of atherosclerotic plaques of human carotid arteries, The Journal of Pathology, 188, 2, 189-196 (1999) |
| [21] | Kamali, R.; Kheirandish, S.; Paktinat, K., Investigation of different activities on the hemodynamic parameters of left external carotid artery using fluid-structure interaction, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 4, 2012 (2018) |
| [22] | Kwak, B. R.; Bäck, M.; Bochaton-Piallat, M.-. L.; Caligiuri, G.; Daemen, M. J.A. P.; Davies, P. F.; Evans, P. C., Biomechanical factors in atherosclerosis: Mechanisms and clinical implications†, European Heart Journal, 35, 43, 3013-3020 (2014) |
| [23] | Markus, H., Severely impaired cerebrovascular reactivity predicts stroke and TIA risk in patients with carotid artery stenosis and occlusion, Brain : A Journal of Neurology, 124, 3, 457-467 (2001) |
| [24] | Martin, S. E.; Vorp, D. A., Effect of variation in intraluminal thrombus constitutive properties on abdominal aortic aneurysm wall stress, Annals of Biomedical Engineering, 31, 7, 804-809 (2003) |
| [25] | ANSYS, Inc. (2015). ANSYS CFX-Solver Theory Guide, Release 16.2. (n.d.). Retrieved from http://read.pudn.com/downloads500/ebook/2077964/cfx_mod.pdf |
| [26] | Mengaldo, G., Tricerri, P., Crosetto, P., Deparis, S., Nobile, F., & Formaggia, L. (2012). A comparative study of different nonlinear hyperelastic isotropic arterial wall models in patient-specific vascular flow simulations in the aortic arch. MOX-Report. |
| [27] | Misiulis, E.; Džiugys, A.; Navakas, R.; Striūgas, N., A fluid-structure interaction model of the internal carotid and ophthalmic arteries for the noninvasive intracranial pressure measurement method, Computers in Biology and Medicine, 84, 79-88 (2017) |
| [28] | Norbert, N.; Laurent, D.; Philippe, D., The Vulnerable Carotid Artery Plaque, Stroke: A Journal of Cerebral Circulation, 36, 12, 2764-2772 (2005) |
| [29] | Rabby, M. G.; Razzak, A.; Molla, M. M., Pulsatile non-Newtonian blood flow through a model of arterial stenosis, Procedia Engineering, 56, 225-231 (2013) |
| [30] | Rhie, C. M.; Chow, W. L., Numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA Journal, 21, 11, 1525-1532 (1983) · Zbl 0528.76044 |
| [31] | Salzar, R. S.; Thubrikar, M. J.; Eppink, R. T., Pressure-induced mechanical stress in the carotid artery bifurcation: A possible correlation to atherosclerosis, Journal of Biomechanics, 28, 11, 1333-1340 (1995) |
| [32] | Samaee, M.; Tafazzoli-Shadpour, M.; Alavi, H., Coupling of shear-circumferential stress pulses investigation through stress phase angle in FSI models of stenotic artery using experimental data, Medical and Biological Engineering and Computing, 55, 8, 1147-1162 (2017) |
| [33] | Soulis, J. V.; Lampri, O. P.; Fytanidis, D. K.; Giannoglou, G. D., Relative residence time and oscillatory shear index of non-Newtonian flow models in aorta, (10th International workshop on Biomedical Engineering (2011), IEEE), 1-4 |
| [34] | Stein, J. H., Carotid intima-media thickness and vascular age: You are only as old as your arteries look, Journal of the American Society of Echocardiography, 17, 6, 686-689 (2004) |
| [35] | Tang, D.; Yang, C.; Ku, D. N., A 3-D thin-wall model with fluid-structure interactions for blood flow in carotid arteries with symmetric and asymmetric stenoses, Computers and Structures, 72, 1, 357-377 (1999) · Zbl 0955.74545 |
| [36] | Toloui, M.; Firoozabadi, B.; Saidi, M. S., A numerical study of the effects of blood rheology and vessel deformability on the hemodynamics of carotid bifurcation, Scientia Iranica, 19, 1, 119-126 (2012) |
| [37] | Torii, R.; Oshima, M.; Kobayashi, T.; Takagi, K.; Tezduyar, T. E., Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures, Computational Mechanics, 38, 4-5, 482-490 (2006) · Zbl 1160.76061 |
| [38] | Torii, R.; Oshima, M.; Kobayashi, T.; Takagi, K.; Tezduyar, T. E., Influence of wall elasticity in patient-specific hemodynamic simulations, Computers and Fluids, 36, 1, 160-168 (2007) · Zbl 1113.76105 |
| [39] | Torii, R.; Oshima, M.; Kobayashi, T.; Takagi, K.; Tezduyar, T. E., Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: Influence of structural modeling, Computational Mechanics, 43, 1, 151-159 (2008) · Zbl 1169.74032 |
| [40] | Torii, R.; Oshima, M.; Kobayashi, T.; Takagi, K.; Tezduyar, T. E., Fluid-structure interaction modeling of blood flow and cerebral aneurysm: Significance of artery and aneurysm shapes, Computer Methods in Applied Mechanics and Engineering, 198, 45-46, 3613-3621 (2009) · Zbl 1229.74101 |
| [41] | Tu, C.; Deville, M., Pulsatile flow of non-Newtonian fluids through arterial stenoses, Journal of Biomechanics, 29, 7, 899-908 (1996) |
| [42] | Vasava, P.; Jalali, P.; Dabagh, M.; Kolari, P. J., Finite element modelling of pulsatile blood flow in idealized model of human aortic arch: Study of hypotension and hypertension, Computational and Mathematical Methods in Medicine, 2012 (2012) · Zbl 1234.92012 |
| [43] | Vassen, J.-. M.; DeVincenzo, P.; Hirsch, C.; Leonard, B., Strong coupling algorithm to solve fluid-structure-interaction problems with a staggered approach, Proceedings of the 7th European symposium on aerothermodynamics, 692, 128 (2011) |
| [44] | Versteeg, H. K.; Henk, K.; Malalasekera, W.; Weeratunge, An introduction to computational fluid dynamics: The finite volume method, An introduction to computational fluid dynamics : The finite volume method (2007), Pearson Education Ltd, Retrieved from |
| [45] | Yang, J.; Cho, K.; Kim, J.; Kim, S.; Kim, C.; You, G.; Lee, J. W., Wall shear stress in hypertensive patients is associated with carotid vascular deformation assessed by speckle tracking strain imaging, Clinical Hypertension, 20, 10, 1-6 (2014) |
| [46] | Yao, L.-S.; Mamun Molla, M.; Ghosh Moulic, S., Fully-developed circular-pipe flow of a non-Newtonian pseudoplastic fluid, Universal Journal of Mechanical Engineering, 1, 2, 23-31 (2013) |
| [47] | 12 - Bidirectional multiphysics simulation of turbine machinery, (Zhang, Q.; Cen, S., Multiphysics modeling (2016), Academic Press: Academic Press Oxford), 340-348 |
| [48] | Zhang, S.; Zhao, X.; Bayyuk, S., Generalized formulations for the Rhie-Chow interpolation, Journal of Computational Physics, 258, 880-914 (2014) · Zbl 1349.76562 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
