- Open Access
Evaluation of 3D blood flow patterns and wall shear stress in the normal and dilated thoracic aorta using flow-sensitive 4D CMR
© Bürk et al.; licensee BioMed Central Ltd. 2012
- Received: 8 July 2012
- Accepted: 28 November 2012
- Published: 13 December 2012
The purpose of this study was to investigate 3D flow patterns and vessel wall parameters in patients with dilated ascending aorta, age-matched subjects, and healthy volunteers.
Thoracic time-resolved 3D phase contrast CMR with 3-directional velocity encoding was applied to 33 patients with dilated ascending aorta (diameter ≥40 mm, age=60±16 years), 15 age-matched normal controls (diameter ≤37 mm, age=68±7.5 years) and 15 young healthy volunteers (diameter ≤30 mm, age=23±2 years). 3D blood flow was visualized and flow patterns were graded regarding presence of supra-physiologic-helix and vortex flow using a semi-quantitative 3-point grading scale. Blood flow velocities, regional wall shear stress (WSS), and oscillatory shear index (OSI) were quantified.
Incidence and strength of supra-physiologic-helix and vortex flow in the ascending aorta (AAo) was significantly higher in patients with dilated AAo (16/33 and 31/33, grade 0.9±1.0 and 1.5±0.6) than in controls (2/15 and 7/15, grade 0.2 ± 0.6 and 0.6 ± 0.7, P<.05) or healthy volunteers (1/15 and 0/15, grade 0.1 ± 0.3 P<.05). Greater strength of the ascending aortic helix and vortex flow were associated with significant differences in AAo diameters (P<.05). Peak systolic WSS in the ascending aorta and aortic arch was significantly lower in patients with dilated AAo (P<.0157-.0488). AAo diameter positively correlated to time to peak systolic velocities (r=0.30-0.53, P<.04), OSI (r=0.33-0.49, P<0.02) and inversely correlated to peak systolic WSS (r=0.32-0.40, P<.03). Peak systolic WSS was significantly lower in AAo aneurysms at the right and outer curvature within the AAo and proximal arch (P<.01-.05).
Increase in AAo diameter is significantly correlated with the presence and strength of supra-physiologic-helix and vortex formation in the AAo, as well with decrease in systolic WSS and increase in OSI.
- 4D flow
- Flow quantification
- Aneurysm of the ascending aorta
Thoracic aortic aneurysmal disease is frequent, frequently involving the aortic root and ascending aorta [1, 2]. It can be complicated by dissection or rupture with an increased lifetime risk when the aortic diameters exceed 6 cm . The mean growth rate of thoracic aneurysms is only about 0.1 cm/year, although there is substantial variation in individual aneurysm progression . Established risk factors for an accelerated aneurysm growth rate include simple geometric markers such as initial size or localization. In addition, the presence of aortic valve disease (stenosis), congenital abnormalities (bicuspid aortic valve), or connective tissue disorders can influence aneurismal growth. However, predicting aneurysm progression is nearly impossible and dissection and rupture also occur at diameters under 6 cm [3, 4].
Recent studies have focused on establishing alternative criteria for evaluating aneurysms, i.e. RNA expression patterns, biomarkers, aortic curvature geometry and mechanical properties of the aorta [1, 5, 6]. In this context, the assessment of aortic hemodynamics and the presence of altered flow patterns, as well as distribution and changes in wall shear stress (WSS) and the oscillatory shear index (OSI) and their association with changes in aorta size may provide further insights in how aneurysms develop and in assessing the risk of dissection [7, 8]. These factors may play an important role in aneurysm development and can be assessed by time-resolved 3D phase contrast cardiovascular magnetic resonance (CMR) with 3-directional velocity encoding (flow-sensitive 4D CMR), also providing comprehensive information on aortic hemodynamics with 3D visualization of blood flow pattern [9–11].
The purpose of this study was to investigate 3D flow patterns and vessel wall parameters in the ascending aorta and aortic arch in correlation to the vessel geometry in patients with dilated ascending aorta, age-matched subjects, and healthy volunteers.
This study was institutional review board-approved; written informed consent was obtained from all participants. The study population consisted of three cohorts: 33 patients with dilated ascending aorta or AAo aneurysm (diameter >40 mm, 30 male, 3 female, mean age 59.8±15.9 years), 15 age-matched normal controls (AAo diameter <40 mm, 12 male, 3 female, mean age 67.1±7.5 years) and 15 healthy young volunteers (12 male, 3 female, mean age 22.7±1.6 years) were included. Patients and age matched controls were retrospectively included from a study cohort comprising 150 patients, examined between 2006 and 2009 for investigation of aortic blood flow patterns in stroke patients. 29% of the patients with dilated ascending aorta had transient ischemic attacks, 71% ischemic infarctions vs. 26%/74% of the age matched controls. Inclusion criteria were age 18 to 85 years and suitability for CMR examination at 3 Tesla. In our study we chose to include only aneurysm patients who did not have other cardiovascular abnormalities to focus on the relationship of hemodynamics and aortic dilatation. Exclusion criteria’s were ejection fraction (EF) <35%, aortic valve disease, determined by transesophageal echocardiography or known connective tissue disorders. The study cohort, as well as inclusion and exclusion criteria, was also previously described [12–14].
Data processing and 3D blood flow visualization
Visual grading was performed by rotating the particle traces in 3D and by investigating the rotating flow by viewing along the axis or helix or vortex flow in the thoracic aorta in 3 segments: a) the ascending aorta, 2) the arch region, and 3) the descending aorta. A number of studies have shown that left ventricular outflow results in right handed helical flow in the ascending aorta during ventricular systole, as a physiological phenomenon [17, 18]. However, normal aortic helix flow can be considered moderate, with a flow rotation typically <180°. Also vortex flow can occur rarely as a physiological flow phenomenon in the AAo . Helix and vortex severity were graded in a blinded fashion by two independent observers using a three point grading-scale: 0, small helix/vortex formation (flow rotation <180°); 1, moderate supra-physiologic-helix/vortex (flow rotation <360°); 2, pronounced supra-physiologic-helix/vortex (flow rotation >360°). For helix flow, the direction of flow rotation (right- or left-handed, when viewed orthogonally to the vessel axis in the direction of blood flow) was noted. For each detected vortex flow pattern it was noted whether the vortex filled the aortic lumen partly or fully.
Flow velocity and wall shear stress quantification
All statistical analyses were performed using commercially available software (SPSS 17.0; SPSS Inc., Chicago, Ill). Kolmogorov-Smirnov tests were performed to test for equal distribution of continuous variables. Continuous variables were expressed as mean ± standard deviation. Categorical variables were expressed as frequencies and percentages. To detect statistically significant differences between the distributions of the grading between patients and control groups, the Mann–Whitney U test was employed. Continuous variable were compared using an unpaired two-sided t-test. Differences with P<.05 were considered significant. The relationship between ascending aortic diameter and hemodynamics parameters was investigated using correlation analysis based on linear regression. The regression’s overall quality was assessed using Pearson’s correlation coefficient r. A p value <.05 was considered statistically significant. Interobserver agreement on semi-quantitative grades of helix or vortex formation between the two readers was calculated using κ statistics. A κ value over 0.81 corresponded to excellent interobserver agreement, with values of 0.61–0.80 corresponding to good agreement .
Aortic geometry in aneurysm patients and control groups
1 vs. 2
1 vs. 3
2 vs. 3
44 ± 4*#
35 ± 2+
27 ± 2
30 ± 4*#
28 ± 3+
22 ± 2
28 ± 4#
27 ± 2+
21 ± 2
AAo / DAo ratio
1.6 ± 0.3*#
1.3 ± 0.1
1.3 ± 0.2
(1.1 - 2.7)
(1.2 - 1.4)
(1.0 - 1.8)
Visual grading of blood flow
Incidence of supra-physiologic-helix and vortex pattern
incidence [n (%)]
patients, dilated aorta
16 (48%)* #
5 (15%)* #
31 (94%)* #
7 (47%) +
n = 15
n = 15
Quantifying flow velocity and wall shear stress
Differences in regional flow velocities and vessel wall parameters
p-values patients vs. age-matched controls
Correlation analysis revealed a weak to moderate yet significant correlation between the degree of aortic dilation [cm] and prolonged TTP systolic velocities in all eight analysis planes (r=0.30-0.53, P<.04). Similarly, OSI correlated significantly with AAo diameter in all analysis planes except for the plane in the proximal AAo (r=0.33-0.49, P<.02). In addition, peak systolic WSS demonstrated a weak but significant inverse correlation with increased AAo diameters in four analysis planes in the ascending aorta and aortic arch (r=0.32-0.40, P<.03).
To detect segmental differences over the lumen circumference, the distribution of wall parameters of each analysis plane of the dilated AAo group and the age-matched controls was evaluated. Figure 3 shows the segmental distribution of peak systolic WSS in the entire thoracic aorta in patients with dilated AAo compared to age-matched controls. A significant decrease in regional peak systolic WSS in patients - pronounced in the right-outer curvature in the AAo and proximal arch (planes 1–4) was observed. Differences were less pronounced in the descending aorta (planes 6–8).
In this study, flow-sensitive 4D CMR was used to visualize different flow patterns in the thoracic aorta of 33 patients with dilated ascending aorta (≥40 mm), 15 age-matched normal controls, and 15 young healthy volunteers. Our aim was to provide insight into alterations in blood flow and vessel wall parameters in the dilated aorta compared to young and age-matched controls. In additional to visually grading 3D blood flow patterns, we focused on the quantitative analysis of alterations in pulsatile blood flow velocities and wall shear stress known to affect endothelial cell function and thus vessel wall architecture potentially as well [8, 9].
Previous investigations with a limited number of patients indicated that blood flow is altered in thoracic aorta aneurysms [11, 23, 24]. A recently published study  investigated blood flow and vessel wall parameters in AAo aneurysms using 4D Flow. In contrast to this study our study analysed all aortic segments (AAo, aortic arch, and DAo and included a larger number of patients. In addition, our study included a comparison of aortic hemodynamics with age matched controls and healthy volunteers.
As demonstrated in previous studies, helix flow in the aorta is a normal physiological phenomenon, moreover it is thought to protect against atherogenesis [18, 25]. The present study demonstrates that the incidence of alterations in blood flow patterns such as the presence of vortex and supra-physiologic helical flow was significantly increased in the setting of the dilated ascending aorta. In addition to absolute AAo diameter, the presence and strength of the ascending aortic supra-physiologic-helix and vortex formation in the AAo associated closely with an increase in AAo/DAo diameter ratio. We speculate that in the dilated aorta the expansion results in a altered pressure gradient which can induce secondary flow patterns (i.e. helix and vortex flow) as observed in our patient cohort.
Consistent with the irregular flow patterns observed by visual grading, significant alterations in vessel wall parameters and blood flow velocities were noted. We observed considerable differences among the three cohorts for both pulsatile velocity-time and WSS-time curves. Although differences between patients and age-matched controls were less pronounced, statistically significant alterations were detectable at multiple anatomical locations in the thoracic aorta. Time-to-peak systolic velocities and the extent of retrograde flow were considerably higher in subjects with a dilated aorta, consistent with reduced flow efficiency compared to age-matched controls. With respect to vessel wall parameters, peak systolic WSS and OSI exhibited the largest differences among the different cohorts.
It is well known that reduced shear stress induces vessel constriction, whereas greater shear stress is followed by dilatation through enhanced endothelial nitric oxide synthase activity to maintain mean arterial WSS balance as long as the endothelial function is intact [9, 26–28]. Chronically lowered or oscillatory shear stress activates monocytes, and increases platelet activation, oxidant state, apoptosis and cellular turnover. These changes are followed by endothelial cell loss and desquamation, lipid accumulation, platelet aggregates; fibrin plugs are diminished in actin stress fibers and proliferation of smooth muscle cells [9, 29]. Such changes in vessel wall architecture can reduce aortic distensibility . These changes of the vessel wall can lead on the one hand to the initiation and progression of atherosclerosis. AAo aneurysms are associated with increased level of matrix metalloproteinase (MMP) which protects from atherosclerosis . These observations and the pronounced supra-physiologic-helix flow could explain that atherosclerosis is not a feature of AAo aneurysms, although WSS is lowered. On the other hand, there is evidence that cerebral aneurysms in humans develop in regions of low WSS [8, 30], whereas high WSS may be responsible for initiating aneurysm formation . The findings in our study indicate that the situation for aortic aneurysms may be similar. One explanation could be that the reduced aortic distensibility in AAo aneurysms restricts vasoconstriction of the vessel . However, longitudinal studies correlating changes in WSS with aneurysm progression are needed to support this hypothesis.
High OSI has effects similar to low WSS concerning atherogenesis and vessel wall architecture , and is also suspected of playing a role in aneurysm initiation and development.
The decrease in systolic WSS and increase in OSI in patients with dilated AAo observed in this study is well in line with previous studies identifying low WSS and high OSI as critical wall parameters indicative of vascular remodeling and aneurysm development [8, 9, 29]. Moreover, the observed blood flow patterns in patients are associated with asymmetric changes in regional peak systolic WSS in the AAo and proximal arch. Notably, significant reductions in regional peak systolic WSS were centered along the right outer aortic wall. Interestingly, the identified location of peak systolic WSS matches the predominant location of intimal tears in aortic dissection . Our findings clearly indicate that peak systolic WSS alterations are inconsistently distributed over the vessel lumen circumference. It is conceivable, that regions with low WSS are predisposed to local vessel wall weakening. Importantly, in patients with dilated AAo vessel wall parameters were not only altered at the level of aortic dilation but also in the vessel segments distal to the dilation, implying that an enlarged AAo influences vessel wall parameters in still-healthy segments.
A limitation of our study is the fact that 3D blood flow visualization with particle traces may be diminished when passing through regions of complex flow or areas with high velocity noise [32, 33]. We did not test different particle seeding schemes. Nevertheless, we believe that emitting particle traces during systole (i.e. high velocity to noise ratio), which were used for helix grading, provide a reliable tool for identifying bulk flow characteristics such as increased helix flow using our grading scheme. Additional studies are needed to systematically investigate the influence of seeding patterns, particle density and velocity noise on the number, configuration and lengths of particle traces.
A further draw back ouf our study is related to the data analysis strategy for the characterization of aortic hemodynamics. 3D flow visualization and semi-quantitative grading is more sensitive to observer variability and less robust compared to automated and fully quantitative methods [25, 34]. Fully quantitative ranking of flow topologies was not available at the time of the analysis of our data and we think that such tools may have the potential to improve flow pattern detection and analysis robustness. Future studies will benefit from more sophisticated analysis as the tools become more mainstream.
Additional limitations of this study are the plane-wise, and not genuine 3D quantification, and the limited spatial and temporal resolution of the MR technique. The aortic root was excluded in this study due to the high movement of the aortic root and proximal aortic bulb over the cardiac cycle. As the analysis planes are in a static position, quantification of flow and particularly WSS was thus deemed unreliable. Software and hardware improvements are necessary that allow quantifications of derived wall parameters along the entire aortic lumen and not just of a given analysis plane in a specific vessel segment. Limited spatial and temporal resolution can lead to underestimation of the genuine WSS magnitude, as shown previously in studies comparing CMR measurements and WSS derived from computational fluid dynamics (CFD) . Nevertheless, the MR-derived WSS in this study is concordant with results of other studies . Furthermore, WSS was not only assessed in patients with dilated AAo but also in age-matches controls, otherwise subject to the same technical bias. Finally, patients were retrospectively selected from a larger cohort and not enrolled prospectively or consecutively, thus subject to selection bias. Follow-up studies of patients and age-matched controls are warranted to evaluate the predictive value of the flow and WSS alterations we have detected regarding further dilatation and/or aneurysm development. The focus of such follow-up studies should be process of aortic dilatation in the patient group so as to identify any correlations between aneurysm development and blood flow and vessel wall parameters alterations.
This study shows that there is a significant relationship between the ascending aorta diameter as well as the ratio of the ascending and descending aorta diameter and the incidence and strength of irregular blood flow. These findings indicate that peak systolic WSS may be a risk factor for aortic dilation in regions with low WSS, however longitudinal studies correlating changes in WSS with aneurysm progression are needed to support this hypothesis. In addition, vessel wall parameters in patients with dilated AAo were altered at the dilation level as well as in the vessel segments distal to the dilation, highlighting that an enlarged AAo influences vessel wall parameters in adjacent normal segments.
Grant support by the National Heart, Lung, And Blood Institute of the National Institutes of Health under Award Number R01HL115828 and the Northwestern Memorial Foundation Dixon Translational Research Grants Initiative (MM).
- Elefteriades JA, Farkas EA: Thoracic aortic aneurysm clinically pertinent controversies and uncertainties. J Am Coll Cardiol. 2010, 55: 841-57. 10.1016/j.jacc.2009.08.084.View ArticlePubMedGoogle Scholar
- Isselbacher EM: Thoracic and abdominal aortic aneurysms. Circulation. 2005, 111: 816-28. 10.1161/01.CIR.0000154569.08857.7A. Review.View ArticlePubMedGoogle Scholar
- Davies RR, Goldstein LJ, Coady MA, Tittle SL, Rizzo JA, Kopf GS, Elefteriades JA: Yearly rupture or dissection rates for thoracic aorticaneurysms: simple prediction based on size. Ann Thorac Surg. 2002, 73: 17-28. 10.1016/S0003-4975(01)03236-2.View ArticlePubMedGoogle Scholar
- Dapunt OE, Galla JD, Sadeghi AM, Lansman SL, Mezrow CK, de Asla RA, Quintana C, Wallenstein S, Ergin AM, Griepp RB: The naturalhistory of thoracic aortic aneurysms. J Thorac Cardiovasc Surg. 1994, 107: 1323-1332.PubMedGoogle Scholar
- Poullis MP, Warwick R, Oo A, Poole RJ: Ascending aortic curvatureas an independent risk factor for type A dissection, and ascendingaortic aneurysm formation: a mathematical model. Eur J CardiothoracSurg. 2008, 33: 995-1001. 10.1016/j.ejcts.2008.02.029.View ArticleGoogle Scholar
- Koullias G, Modak R, Tranquilli M, Korkolis DP, Barash P, Elefteriades JA: Mechanical deterioration underlies malignant behavior of aneurysmal human ascending aorta. J Thorac Cardiovasc Surg. 2005, 130: 677-83.PubMedGoogle Scholar
- Bieging ET, Frydrychowicz A, Landgraf BR, Johnson KM, Wieben O, François CJ: In vivo 3-dimensional magnetic resonance wall shear stress estimation in ascending aortic dilatation. J Man Reson Imaging. 2011, 33: 589-597. 10.1002/jmri.22485.View ArticleGoogle Scholar
- Boussel L, Rayz V, McCulloch C, Martin A, Acevedo-Bolton G, Lawton M, Higashida R, Smith WS, Young WL, Saloner D: Aneurysm growth occurs at region of low wall shear stress: patient-specific correlation of hemodynamics and growth in a longitudinal study. Stroke. 2008, 39: 2997-3002. 10.1161/STROKEAHA.108.521617.PubMed CentralView ArticlePubMedGoogle Scholar
- Malek AM, Alper SL, Izumo S: Hemodynamic shear stress and its role in atherosclerosis. JAMA. 1999, 282: 2035-2042. 10.1001/jama.282.21.2035.View ArticlePubMedGoogle Scholar
- Frydrychowicz A, Harloff A, Jung B, Zaitsev M, Weigang E, Bley TA, Langer M, Hennig J, Markl M: Time-resolved, 3-dimensional magnetic resonance flow analysis at 3T: visualization of normal and pathological aortic vascular hemodynamics. J Comput Assist Tomogr. 2007, 31: 9-15. 10.1097/01.rct.0000232918.45158.c9.View ArticlePubMedGoogle Scholar
- Frydrychowicz A, Arnold R, Hirtler D, et al: Multidirectional flow analysis by cardiovascular magnetic resonance in aneurysm development following repair of aortic coarctation. J Cardiovasc Magn Reson. 2008, 10: 30-10.1186/1532-429X-10-30.PubMed CentralView ArticlePubMedGoogle Scholar
- Harloff A, Nussbaumer A, Bauer S, Stalder AF, Frydrychowicz A, Weiller C, Hennig J, Markl M: In vivo assessment of wall shear stress in the atherosclerotic aorta using flow-sensitive 4D MRI. Magn Reson Med. 2010, 63: 1529-1536. 10.1002/mrm.22383.View ArticlePubMedGoogle Scholar
- Harloff A, Simon J, Brendecke S, Assefa D, Helbing T, Frydrychowicz A, Weber J, Olschewski M, Strecker C, Hennig J, Weiller C, Markl M: Complex plaques in the proximal descending aorta an underestimated embolic source of stroke. Stroke. 2010, 41: 1145-50. 10.1161/STROKEAHA.109.577775.View ArticlePubMedGoogle Scholar
- Harloff A, Strecker C, Dudler P, Nussbaumer A, Frydrychowicz A, Olschewski M, Bock J, Stalder AF, Stroh AL, Weiller C, Hennig J, Markl M: Retrograde embolism from the descending aorta: visualization by multidirectional 3D velocity mapping in cryptogenic stroke. Stroke. 2009, 40: 1505-8. 10.1161/STROKEAHA.108.530030.View ArticlePubMedGoogle Scholar
- Markl M, Harloff A, Bley TA, Zaitsev M, Jung B, Weigang E, Langer M, Hennig J, Frydrychowicz A: Time-resolved 3D MR velocity mapping at 3Â T: improved navigator-gated assessment of vascular anatomy and blood flow. J Magn Reson Imaging. 2007, 25: 824-831. 10.1002/jmri.20871.View ArticlePubMedGoogle Scholar
- Bock J, Kreher BW, Hennig J, Markl M: Optimized pre-processing of time-resolved 2D and 3D Phase Contrast MRI data. 2007, Berlin, Germany: Proc: ISMRM, 3138-Google Scholar
- Kilner PJ, Yang GZ, Mohiaddin RH, Firmin DN, Longmore DB: Helical and retrograde secondary flow patterns in the aortic arch studied by three-directional magnetic resonance velocity mapping. Circulation. 1993, 88: 2235-47. 10.1161/01.CIR.88.5.2235.View ArticlePubMedGoogle Scholar
- Liu X, Pu F, Fan Y, Deng X, Li D, Li S: 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. Am J Physiol Heart Circ Physiol. 2009, 297: 163-170. 10.1152/ajpheart.00266.2009.View ArticleGoogle Scholar
- Stalder AF, Russe MF, Frydrychowicz A, Bock J, Hennig J, Markl M: Quantitative 2D and 3D Phase Contrast MRI: Optimized Analysis of Blood Flow and Vessel Wall Parameters. Magn Reson Med. 2008, 60: 1218-1231. 10.1002/mrm.21778.View ArticlePubMedGoogle Scholar
- He X, Ku DN: Pulsatile flow in the human left coronary artery bifurcation: average conditions. J Biomech Eng. 1996, 118: 74-82. 10.1115/1.2795948.View ArticlePubMedGoogle Scholar
- Landis JR, Koch GG: An application of hierarchical kappa-type statistics in the assessment of majority agreement among multiple observers. Biometrics. 1977, 33: 363-374. 10.2307/2529786.View ArticlePubMedGoogle Scholar
- Hannuksela M, Lundqvist S, Carlberg B: Thoracic aorta: dilated or not?. Scand Cardiovasc J. 2006, 40: 175-8. 10.1080/14017430600565999.View ArticlePubMedGoogle Scholar
- Weigang E, Kari FA, Beyersdorf F, Luehr M, Etz CD, Frydrychowicz A, Harloff A, Markl M: Flow-sensitive four-dimensional magnetic resonance imaging: flow patterns in ascending aortic aneurysms. Eur J Cardiothorac Surg. 2008, 34: 11-6. 10.1016/j.ejcts.2008.03.047.View ArticlePubMedGoogle Scholar
- Hope TA, Markl M, Wigström L, Alley MT, Miller DC, Herfkens RJ: Comparison of flow patterns in ascending aortic aneurysms and volunteers using four-dimensional magnetic resonance velocity mapping. J Man Reson Imaging. 2007, 26: 1471-9. 10.1002/jmri.21082.View ArticleGoogle Scholar
- Morbiducci U, Ponzini R, Rizzo G, Cadioli M, Esposito Montevecchi FM, Redaelli A: Mechanistic insight into the physiological relevance of helical blood flow in the human aorta: an in vivo study. Biomech Model Mechanobiol. 2011, 10: 339-355. 10.1007/s10237-010-0238-2.View ArticlePubMedGoogle Scholar
- Langille BL, O´Donnel F: Reductions in arterial Diameter produces by chronic decreases in blood flow are endothelium-dependent. Science. 1986, 231: 405-7. 10.1126/science.3941904.View ArticlePubMedGoogle Scholar
- Ben Driss A, Benessiano J, Poitevin P, Levy BI, Michel JB: Aterial expansive remodelling induced by high flow rates. Am J Physiol. 1997, 272: 851-8.Google Scholar
- Nadaud S, Philippe M, Arnal JF, Michel JB, Soubrier F: Sustained increase in aortic endothelial nitric oxide synthase expression in vivo in a model of chronic high blood flow. Circ Res. 1996, 79: 857-63. 10.1161/01.RES.79.4.857.View ArticlePubMedGoogle Scholar
- Walpola PL, Gotlieb AI, Langille BL: Monocyte adhesion and changes in endothelial cell number, morphology, and F-actin distribution elicited by low shear stress in vivo. Am J Pathol. 1993, 142: 1392-400.PubMed CentralPubMedGoogle Scholar
- Meng H, Wang Z, Hoi Y, Gao L, Metaxa E, Swartz DD, Kolega J: Complex hemodynamics at the apex of an arterial bifurcation induces vascular remodeling resembling cerebral aneurysm initiation. Stroke. 2007, 38: 1924-1931. 10.1161/STROKEAHA.106.481234.PubMed CentralView ArticlePubMedGoogle Scholar
- Moon MC, Greenberg RK, Morales JP, Martin Z, Lu Q, Dowdall JF, Hernandez AV: Computed tomography-based anatomic characterization of proximal aortic dissection with consideration for endovascular candidacy. J Vasc Surg. 2011, 53: 942-9. 10.1016/j.jvs.2010.10.067.View ArticlePubMedGoogle Scholar
- Longest PW, Vinchurkar S: Effects of mesh style and grid convergence on particle deposition in bifurcating airway models with comparisons to experimental data. Med Eng Phys. 2007, 29: 350-66. 10.1016/j.medengphy.2006.05.012.View ArticlePubMedGoogle Scholar
- Marshall I: Targeted particle tracking in computational models of human carotid bifurcations. J Biomech Eng. 2011, 133: 124501-10.1115/1.4005470.View ArticlePubMedGoogle Scholar
- FinnL L, Boghosian BM, Kottke CN: Vortex core identification in viscous hydrodynamics. Philos Transact A Math Phys Eng Sci. 2005, 363: 1937-48. 10.1098/rsta.2005.1620.View ArticleGoogle Scholar
- Wood NB, Weston SJ, Kilner PJ, Gosman AD, Firmin DN: Combined MR imaging and CFD simulation of flow in the human descending aorta. J Magn Reson Imaging. 2001, 13: 699-713. 10.1002/jmri.1098.View ArticlePubMedGoogle Scholar
- Markl M, Wallis W, Harloff A: Reproducibility of flow and wall shear stress analysis using flow-sensitive four-dimensional MRI. J Magn Reson Imaging. 2011, 33: 988-994. 10.1002/jmri.22519.View ArticlePubMedGoogle Scholar
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