In the abdominal segment of the human aorta under a patient’s average resting conditions, pulsatile blood flow exhibits complex laminar patterns with secondary flows induced by adjacent branches and irregular vessel geometries. The flow dynamics becomes more complex when there is a pathological condition that causes changes in the normal structural composition of the vessel wall, for example, in the presence of an aneurysm. This work examines the hemodynamics of pulsatile blood flow in hypothetical three-dimensional models of abdominal aortic aneurysms (AAAs). Numerical predictions of blood flow patterns and hemodynamic stresses in AAAs are performed in single-aneurysm, asymmetric, rigid wall models using the finite element method. We characterize pulsatile flow dynamics in AAAs for average resting conditions by means of identifying regions of disturbed flow and quantifying the disturbance by evaluating flow-induced stresses at the aneurysm wall, specifically wall pressure and wall shear stress. Physiologically realistic abdominal aortic blood flow is simulated under pulsatile conditions for the range of time-average Reynolds numbers 50Rem300, corresponding to a range of peak Reynolds numbers 262.5Repeak1575. The vortex dynamics induced by pulsatile flow in AAAs is depicted by a sequence of four different flow phases in one period of the cardiac pulse. Peak wall shear stress and peak wall pressure are reported as a function of the time-average Reynolds number and aneurysm asymmetry. The effect of asymmetry in hypothetically shaped AAAs is to increase the maximum wall shear stress at peak flow and to induce the appearance of secondary flows in late diastole.

1.
Karkos
,
C.
,
Mukhopadhyay
,
U.
,
Papakostas
,
I.
,
Ghosh
,
J.
,
Thomson
,
G.
, and
Hughes
,
R.
,
2000
, “
Abdominal Aortic Aneurysm: the Role of Clinical Examination and Opportunistic Detection
,”
Eur. J. Vasc. Endovasc Surg.
,
19
, pp.
299
303
.
2.
Gillum
,
R.
,
1995
, “
Epidemiology of Aortic Aneurysm in the United States
,”
J. Clin. Epidemiol.
,
48
, pp.
1289
1298
.
3.
Cotran, R., Kumar, V., and Collins, T., 1999, “Robbins Pathologic Basis of Disease,” 6th Edition, W. B. Saunders Company, Philadelphia, PA, pp. 524–546.
4.
Taylor, T., and Yamaguchi, T., 1992, “Three-Dimensional Simulation of Blood Flow in an Abdominal Aortic Aneurysm using Steady and Unsteady Computational Methods,” 1992 Advances in Bioengineering, ASME BED-22, pp. 229–232.
5.
Taylor
,
T.
, and
Yamaguchi
,
T.
,
1994
, “
Three-Dimensional Simulation of Blood Flow in an Abdominal Aortic Aneurysm—Steady and Unsteady Flow Cases
,”
ASME J. Biomech. Eng.
,
116
, pp.
89
97
.
6.
Finol, E., and Amon, C., 2001, “Secondary Flow and Wall Shear Stress in Three-Dimensional Steady Flow AAA Hemodynamics,” 2001 Advances in Bioengineering, ASME BED-51, IMECE2001/BED-23013.
7.
Kumar, R., Yamaguchi, T., Liu, H., and Himeno, R., 2001, “Numerical Simulation of 3D Unsteady Flow Dynamics in a Blood Vessel with Multiple Aneurysms,” 2001 Advances in Bioengineering, ASME BED-50, pp. 475–476.
8.
Finol, E., Amon, C., Di Martino, E., and Vorp, D., 2002, “Pressure and Wall Shear Stress Distribution in Abdominal Aortic Aneurysms: Patient-Specific Modeling,” in Computer Methods in Biomechanics and Biomedical Engineering, 4th Edition, ed. by J. Middleton, M. Jones, N. Shrive, and G. Pande, Gordon and Breach Science Publishers, Newark, NJ, in press.
9.
Di Martino, E., Guadagni, G., Fumero, A., Spirito, R., and Redaelli, A., 2001, “A Computational Study of the Fluid-structure Interaction within a Realistic Aneurysmatic Vessel Model obtained from CT Scans Image Processing,” in Computer Methods in Biomechanics and Biomedical Engineering, 3rd Edition, ed. by J. Middleton, M. Jones, N. Shrive, and G. Pande, Gordon and Breach Science Publishers, Newark, NJ, pp. 719–724.
10.
Di Martino, E., Guadagni, G., Corno, C., Fumero, A., Spirito, R., Biglioli, P., and Redaelli, A., 2001, “Towards an Index Predicting Rupture of Abdominal Aortic Aneurysms,” 2001 Advances in Bioengineering, ASME BED-50, pp. 821–822.
11.
Di Martino
,
E.
,
Guadagni
,
G.
,
Fumero
,
A.
,
Ballerini
,
G.
,
Spirito
,
R.
,
Biglioli
,
P.
, and
Redaelli
,
A.
,
2001
, “
Fluid-structure Interaction within Realistic Three-dimensional Models of the Aneurysmatic Aorta as a Guidance to Assess the Risk of Rupture of the Aneurysm
,”
Med. Eng. Phys.
,
23
, pp.
647
655
.
12.
Asbury
,
C.
,
Ruberti
,
J.
,
Bluth
,
E.
, and
Peattie
,
R.
,
1995
, “
Experimental Investigation of Steady Flow in Rigid Models of Abdominal Aortic Aneurysms
,”
Ann. Biomed. Eng.
,
23
, pp.
29
39
.
13.
Peattie
,
R.
,
Bluth
,
E.
,
Ruberti
,
J.
, and
Asbury
,
C.
,
1996
, “
Steady Flow in Models of Abdominal Aortic Aneurysms—Part I: Investigation of Velocity Patterns
,”
J. Ultrasound Med.
,
15
, pp.
679
688
.
14.
Egelhoff, C., Budwig, R., Elger, D., and Khraishi, T., 1997, “A Model Study of Pulsatile Flow Regimes in Abdominal Aortic Aneurysms,” Proceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, ASME FED-21, pp. 1–8.
15.
Egelhoff
,
C.
,
Budwig
,
R.
,
Elger
,
D.
,
Khraishi
,
T.
, and
Johansen
,
K.
,
1999
, “
Model Studies of the Flow in Abdominal Aortic Aneurysms during Resting and Exercise Conditions
,”
J. Biomech.
,
32
, pp.
1319
1329
.
16.
Peattie, R., and Bluth, E., 1998, “Experimental Study of Pulsatile Flows in Models of Abdominal Aortic Aneurysms,” Proceedings of the 20th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 20, pp. 367–370.
17.
Atkinson, S., Feller, K., and Peattie, R., 2001, “Measurement of Fluid Flow Patterns and Wall Shear-Stresses in Patient-Based Models of Abdominal Aortic Aneurysms,” 2001 Advances in Bioengineering, ASME BED-50, pp. 753–754.
18.
Feller, K., Atkinson, S., and Peattie, R., 2001, “Quantification of Flow Stability in Patient-Based Models of Abdominal Aortic Aneurysms,” 2001 Advances in Bioengineering, ASME BED-50, pp. 729–730.
19.
Satcher
,
R.
,
Bussolari
,
S.
,
Gimbrone
,
M.
, and
Dewey
,
C.
,
1992
, “
The Distribution of Forces on Model Arterial Endothelium Using Computational Fluid Dynamics
,”
ASME J. Biomech. Eng.
,
114
, pp.
309
316
.
20.
DePaola
,
N.
,
Gimbrone
,
M.
,
Davies
,
P.
, and
Dewey
,
C.
,
1992
, “
Vascular Endothelium Responds to Fluid Shear Stress Gradients
,”
Arterioscler. Thromb.
,
12
, pp.
1254
1257
.
21.
Davies
,
P.
,
Mundel
,
T.
, and
Barbee
,
K.
,
1995
, “
A Mechanism for Heterogeneous Endothelial Responses to Flow In Vivo and In Vitro
,”
J. Biomech.
,
28
, pp.
1553
1560
.
22.
Milnor, W., 1989, “Hemodynamics,” 2nd Edition, Williams and Wilkins, Baltimore, MD, pp. 34–35.
23.
Pedersen
,
E.
,
Sung
,
H.
,
Burlson
,
A.
, and
Yoganathan
,
A.
,
1993
, “
Two-dimensional Velocity Measurements in a Pulsatile Flow Model of the Normal Abdominal Aorta simulating different Hemodynamic Conditions
,”
J. Biomech.
,
26
, pp.
1237
1247
.
24.
Hassen-Khodja
,
R.
,
Sala
,
F.
,
Bouillanne
,
P.
,
Declemy
,
S.
,
Staccini
,
P.
, and
Batt
,
M.
,
2001
, “
Impact of Aortic Diameter on the Outcome of Surgical Treatment of Abdominal Aortic Aneurysm
,”
Ann. Vasc. Surg.
,
15
, pp.
136
139
.
25.
Vorp
,
D.
,
Raghavan
,
M.
, and
Webster
,
M.
,
1998
, “
Mechanical Wall Stress in Abdominal Aortic Aneurysm: Influence of Diameter and Asymmetry
,”
J. Vasc. Surg.
,
27
, pp.
632
639
.
26.
Finol, E., and Amon, C., 2000, “On the Calculation of Fluid Shear Stresses at the Wall of Dilated Large Arteries: Part II—Application to 3D Computational Models,” 2000 Advances in Bioengineering, ASME BED-48, pp. 13–14.
27.
Mills
,
C.
,
Gabe
,
I.
,
Gault
,
J.
,
Mason
,
D.
,
Ross
,
J.
, Jr.
,
Braunwald
,
E.
, and
Shillingford
,
J.
,
1970
, “
Pressure-flow Relationships and Vascular Impedance in Man
,”
Cardiovasc. Res.
,
4
, pp.
405
417
.
28.
Maier
,
S.
,
Meier
,
D.
,
Boesiger
,
P.
,
Moser
,
U.
, and
Vieli
,
A.
,
1989
, “
Human Abdominal Aorta: Comparative Measurements of Blood Flow with MR Imaging and Multigated Doppler US
,”
Radiology
,
171
, pp.
487
492
.
29.
Finol
,
E.
, and
Amon
,
C.
,
2001
, “
Blood Flow in Abdominal Aortic Aneurysms: Pulsatile Flow Hemodynamics
,”
ASME J. Biomech. Eng.
,
123
, pp.
474
484
.
30.
Finol
,
E.
, and
Amon
,
C.
,
2002
, “
Flow-Induced Wall Shear Stress in Abdominal Aortic Aneurysms: Part I—Steady Flow Hemodynamics
,”
Computer Methods in Biomechanics and Biomedical Engineering
,
5
(
4
), pp.
309
318
.
31.
Finol
,
E.
, and
Amon
,
C.
,
2002
, “
Flow-Induced Wall Shear Stress in Abdominal Aortic Aneurysms: Part II—Pulsatile Flow Hemodynamics
,”
Computer Methods in Biomechanics and Biomedical Engineering
,
5
(
4
), pp.
319
328
.
32.
Amon
,
C.
,
1993
, “
Spectral Element-Fourier Method for Transitional Flows in Complex Geometries
,”
AIAA J.
,
31
, pp.
42
48
.
33.
Elger, D., Slippy, J., Budwig, R., Khraishi, T., and Johansen, K., 1995, “A Numerical Study of the Hemodynamics in a Model Abdominal Aortic Aneurysm (AAA),” Proceedings of the ASME Symposium on Biomedical Fluids Engineering, ed. by R. Gerbsch and K. Ohba, ASME FED-212, pp. 15–22.
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