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Experimental unsteady flow study in a patient-specific abdominal aortic aneurysm model

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Abstract

The velocity field in a patient-specific abdominal aneurysm model including the aorto–iliac bifurcation was measured by 2D PIV. Phase-averaged velocities obtained in 14 planes reveal details of the flow evolution during a cycle. The aneurysm expanding asymmetrically toward the anterior side of the aorta causes the generation of a vortex at its entrance, covering the entire aneurysm bulge progressively before flow peak. The fluid entering the aneurysm impinges on the left side of its distal end, following the axis of the upstream aorta segment, causing an increased flow rate in the left (compared to the right) common iliac artery. High shear stresses appear at the aneurysm inlet and outlet as well as along the posterior wall, varying proportionally to the flow rate. At the same regions, elevated flow disturbances are observed, being intensified at flow peak and during the deceleration phase. Low shear stresses are present in the recirculation region, being two orders of magnitude smaller than the previous ones. At flow peak and during the deceleration phase, a clockwise swirling motion (viewed from the inlet) is present in the aneurysm due to the out of plane curvature of the aorta.

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References

  • Amanuma M, Mohiaddin RH, Hasegawa M, Heshiki A, Longmore DB (1992) Abdominal aorta: characterisation of blood flow and measurement of its regional distribution by the cine magnetic resonance phase-shift velocity mapping. Eur Radiol 2:559–564

    Article  Google Scholar 

  • Anagnostopoulos J, Mathioulakis DS (2004) Unsteady flow field in a square tube T-junction. Phys Fluids 3900–3910

  • Asbury CL, Ruberti JW, Bluth EI, Peattie RA (1995) Experimental investigation of steady flow in rigid models of abdominal aortic aneurysms. Ann Biomed Eng 23:29–39

    Article  Google Scholar 

  • Baek H, Jayaraman MV, Karniadakis GE (2009a) Wall shear stress and pressure distribution on aneurysms and infundibulae in the posterior communicating artery bifurcation. Ann Biomed Eng 37(12):2469–2487

    Article  Google Scholar 

  • Baek H, Jayaraman MV, Richardson PD, Karniadakis GE (2009b) Flow instability and wall shear stress variation in intracranial aneurysms, interface. J R Soc Interface. doi:10.1098/rsif.2009.0476

  • Berge SA, Jou LD (2000) Flows in stenotic vessels. Annu Rev Fluid Mech 32:347–382

    Article  Google Scholar 

  • Bluestein D, Dumont K, Matthieu DB, Ricotta J, Impellizzeri P, Verhegghe B, Verdonck P (2009) Intraluminal thrombus and risk of rupture in patient specific abdominal aortic aneurysm—FSI modeling. Comput Meth Biomech Biomed Eng 12:73–81

    Article  Google Scholar 

  • Boutsianis E, Guala M, Olgac U, Wildermuth S, Hoyer K, Ventikos Y, Poulikakos D (2009) CFD and PTV steady flow investigation in an anatomically accurate abdominal aortic aneurysm. J Biomech Eng. doi:10.1115/1.3002886

  • Caro G (2009) Discovery of the role of wall shear in atherosclerosis. Arterioscler Thromb Vasc Biol 29:158–161

    Article  Google Scholar 

  • Cebral JR, Castro MA, Burgess JE, Pergolizzi RS, Sheridan MJ, Putman CM (2005) Characterization of cerebral aneurysms for assessing risk of rupture by using patient-specific computational hemodynamics models. Am J Neuroradiol 10:2550–2559

    Google Scholar 

  • Cebral J, Radaelli A, Frangi A, Putman C (2007) Hemodynamics before and after bleb formation in cerebral aneurysms. Proc SPIE. doi:10.1117/12.709240

  • Dalman R, Tedesco M, Myers J, Taylor C (2006) AAA disease mechanism, stratification, and treatment. Ann NY Acad Sci 1085:92–109

    Article  Google Scholar 

  • Durst F, Ray S, Unsal B, Bayoumi O (2005) The development lengths of laminar pipe and channel flows. J Fluids Eng ASME 127:1154–1160

    Article  Google Scholar 

  • Faulkner SL, Fisher RD, Conkle DM, Page DL, Bender HW Jr (1975) Effect of blood flow rate on subendothelial proliferation in venous autografts used as arterial substitutes. Circulation 52(2 Suppl):I163–I172

    Google Scholar 

  • Fraser KH, Li MX, Lee WT, Easson WJ, Hoskins PR (2009) Fluid-structure interaction in axially symmetric models of abdominal aortic aneurysms. Proc Inst Mech Eng H 223(2):195–209

    Google Scholar 

  • Georgakarakos E, Ioannou CV, Kamarianakis Y, Papaharilaou Y, Kostas T, Manousaki E, Katsamouris AN (2010) The role of geometric parameters in the prediction of abdominal aortic aneurysm wall stress. Eur J Vasc Endovasc Surg 39(1):42–48

    Article  Google Scholar 

  • Giordana S, Sherwin SJ, Peiro J, Doorly DJ, Papaharilaou Y, Caro CG (2005) Automated classification of peripheral distal bypass geometries reconstructed from medical data. J Biomech 38:47–62

    Google Scholar 

  • Humphrey JD, Taylor CA (2008) Intracranial and abdominal aortic aneurysms: similarities, differences, and need for a new class of computational models. Annu Rev Biomed Eng 10:221–246

    Article  Google Scholar 

  • Jou L, Lee D, Morsi H, Mawad M (2008) Wall shear stress on ruptured and unruptured intracranial aneurysms at the internal carotid artery. Am J Neuroradiol 29:1761–1767

    Article  Google Scholar 

  • Krijger J, Hillen B, Hoogstraten H (1991) Pulsating entry flow in a plane channel. J Appl Math Phys (ZAMP) 42:139–153

    Article  MathSciNet  MATH  Google Scholar 

  • Ku DN, Glagov S, Moore JE, Zarins CK (1989) Flow patterns in the abdominal aorta under simulated postprandial and exercise conditions: an experimental study. J Vasc Surg 9(2):309–316

    Article  Google Scholar 

  • Lasheras J (2007) The biomechanics of arterial aneurysms. Annu Rev Fluid Mech 39:293–319

    Article  MathSciNet  Google Scholar 

  • Lu Y, Lu X, Zhuang L, Wang W (2002) Breaking symmetry in non-planar bifurcations: distribution of flow and wall shear stress. Biorheology 39:431–436

    Google Scholar 

  • Malek AM, Alper SL, Izumo S (1999) Hemodynamic shear stress and its role in atherosclerosis. JAMA 282(21):2035–2042

    Article  Google Scholar 

  • Meng H, Wang Z, Hoi Y, Gao L, Metaxa E, Swartz D, Kolega J (2007) Complex hemodynamics at the apex of an arterial bifurcation induces vascular remodeling resembling cerebral aneurysm initiation. Stroke 38:1924–1931

    Article  Google Scholar 

  • Mills CJ, Gabe IT, Gault JH, Mason DT, Ross J, Braunwald E, Shillingford JP (1970) Pressure–flow relationships and vascular impedance in man. Cardiovasc Res 4:405–417

    Article  Google Scholar 

  • Moore J, Ku D (1994) Pulsatile velocity measurements in a model of the human abdominal aorta under resting conditions. J Biomech Eng 116:337–346

    Article  Google Scholar 

  • Moore J, Xu C, Glagov S, Zarins C, Ku D (1994) Fluid wall shear stress measurements in a model of the human abdominal aorta: oscillatory behavior and relationship to atherosclerosis. Atherosclerosis 110:225–240

    Article  Google Scholar 

  • Nikolaidis N, Mathioulakis DS (2002) Axial and secondary flow study in a 90 deg bifurcation under pulsating conditions using PIV. J Fluids Eng 122:505–511

    Article  Google Scholar 

  • Pappu A, Dardik A, Tagare H, Gusberg RJ (2008) Beyond fusiform and saccular: a novel quantitative tortuosity index may help classify aneurysm shape and predict aneurysm rupture potential. Ann Vasc Surg 22(1):88–97

    Article  Google Scholar 

  • Pedersen E, Sung W, Burlson A, Yoganathan A (1993) Two-dimensional velocity measurements in a pulsatile flow model of the normal abdominal aorta simulating different hemodynamic conditions. J Biomech 26:1237–1247

    Article  Google Scholar 

  • Perktold K, Rappitsch G (1995) Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. J Biomech 28(7):845–856

    Article  Google Scholar 

  • Rindt CCM, Van Steenhoven AA, Janssen JD, Vossers G (1991) Unsteady entrance flow in a 90° curved tube. J Fluid Mech 226:445–474

    Article  Google Scholar 

  • Rodriguez JF, Martufi G, Doblare M, Finol EA (2009) The effect of material model formulation in the stress analysis of abdominal aortic aneurysms. Ann Biomed Eng 37(11):2218–2221

    Article  Google Scholar 

  • Salsac AV (2005) Changes in the hemodynamic stresses occurring during the enlargement of abdominal aortic aneurysms. PhD thesis, University of California, San Diego

  • Sforza DM, Putman CM, Cebral JR (2009) Hemodynamics of cerebral aneurysms. Annu Rev Biomed Eng 41:91–107

    Google Scholar 

  • Shipkowitz T, Rodgers V, Frazin L, Chandran K (2000) Numerical study on the effect of secondary flow in the human aorta on local shear stresses in abdominal aortic branches. J Biomech 33:717–728

    Article  Google Scholar 

  • Speelman L (2009) Biomechanical analysis for abdominal aortic aneurysm risk stratification. PhD thesis, Universiteit Maastricht, Eindhoven

  • Speelman L, Schurink GW, Bosboom EM, Buth J, Breewer M, Van de Vosse FN, Jacobs MH (2009) The mechanical role of thrombus on the growth rate of an abdominal aortic aneurysm. J Vasc Surg 51(1):19–26

    Article  Google Scholar 

  • Stamatopoulos C, Papaharilaou Y, Mathioulakis DS, Katsamouris A (2010) Steady and unsteady flow within an axisymmetric tube dilatation. Exp Therm Fluid Sci 34:915–927. doi:10.1016/j.expthermflusci.2010.02.008

    Article  Google Scholar 

  • Taylor CA, Hughes TJR, Zarins CK (1998) Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: relevance to atherosclerosis. Ann Biomed Eng 26:975–987

    Article  Google Scholar 

  • Taylor CA, Cheng CP, Espinosa LA, Tang BT, Parker D, Herfkens RJ (2002) In vivo quantification of blood flow and wall shear stress in the human abdominal aorta during lower limb exercise. Ann Biomed Eng 30:402–408

    Article  Google Scholar 

  • Tuttle E (1990) Laminar flow in twisted pipes. J Fluid Mech 219:545–570

    Article  MATH  Google Scholar 

  • Vetel J, Garon A, Pelletier D (2009) Lagrangian coherent structures in the human carotid artery bifurcation. Exp Fluids 46(6):1067–1079

    Article  Google Scholar 

  • Wurzinger LJ, Blasberg P, Schmid-Schonbein H (1985) Towards a concept of thrombosis in accelerated flow: rheology, fluid dynamics, and biochemistry. Biorheology 22:437–449

    Google Scholar 

  • Xiaoyi H, Ku D (1994) Unsteady entrance flow development in a straight tube. J Bioeng 116:355–360

    Google Scholar 

Download references

Acknowledgments

This paper is part of the 03ED244 research project, implemented within the framework of the ‘Reinforcement Programme of Human Research Manpower’ (PENED) and co-financed by National and Community Funds (20% from the Greek Ministry of Development—General Secretariat of Research and Technology and 80% from EU—European Social Fund).

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Authors and Affiliations

  1. School of Mechanical Engineering, Fluids Section, National Technical University of Athens, 9 Heroon Polytechniou Ave., Zografos, 15710, Athens, Greece

    Ch. Stamatopoulos & D. S. Mathioulakis

  2. Institute of Applied and Computational Mathematics, Foundation for Research and Technology-Hellas, 100 Nikolaou Plastira St., Vassilika Vouton, 70013, Heraklion, Crete, Greece

    Y. Papaharilaou

  3. Division of Vascular Surgery, Medical School, University of Crete, P.O. Box 2208, 71003, Heraklion, Crete, Greece

    A. Katsamouris

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  1. Ch. Stamatopoulos
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  2. D. S. Mathioulakis
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  3. Y. Papaharilaou
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  4. A. Katsamouris
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Correspondence to D. S. Mathioulakis.

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Stamatopoulos, C., Mathioulakis, D.S., Papaharilaou, Y. et al. Experimental unsteady flow study in a patient-specific abdominal aortic aneurysm model. Exp Fluids 50, 1695–1709 (2011). https://doi.org/10.1007/s00348-010-1034-6

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  • DOI: https://doi.org/10.1007/s00348-010-1034-6

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