Finite element modeling of blood flow in arteries
Open accessAbstract
A comprehensive finite element framework to enable the conduct of computational vascular research is described. The software system developed provides an integrated set of tools to solve clinically relevant blood flow problems and test hypotheses regarding hemodynamic (blood flow) factors in vascular adaptation and disease. The validity of the computational method was established by comparing the numerical results to an analytic solution for pulsatile flow as well as to published experimental flow data. The application of the finite element method to qualitatively and quantitatively assess the blood flow field in a number of clinically relevant models is described.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Vessel walls experience 10-20% diametral strain.
“Vessel walls have been reported to experience 10–20% diametral strain52,53.”
From Synthetic photoplethysmography (PPG) of the radial artery through parallelized Monte Carlo and its correlation to body mass index (BMI) (2021) · cites this paper as [52]
Cites
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Saad, Y., & Schultz, M. H. (1986) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0907058 · Cited by 11,280 · see citing works
Brooks, A., & Hughes, T. J. R. (1990) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(82)90071-8 · Cited by 5,678 · see citing works
Self-citationKu, D. N., Giddens, D. P., Zarins, C. K., & Glagov, S. (1985) · Arteriosclerosis An Official Journal of the American Heart Association Inc · doi:10.1161/01.atv.5.3.293 · Cited by 2,714 · see citing works
Self-citationWomersley, J. R. (1955) · The Journal of Physiology · doi:10.1113/jphysiol.1955.sp005276 · Cited by 1,835 · see citing works
Lagrangian-Eulerian finite element formulation for incompressible viscous flows
Hughes, T. J. R., Liu, W. K., & Zimmermann, T. (1981) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(81)90049-9 · Cited by 1,532 · see citing works
Self-citationOn the local reactions of the arterial wall to changes of internal pressure
Bayliss, W. M. (1902) · The Journal of Physiology · doi:10.1113/jphysiol.1902.sp000911 · Cited by 1,526 · see citing works
Zarins, C. K., Giddens, D. P., Bharadvaj, B. K., Sottiurai, V. S., Mabon, R. F., & Glagov, S. (1983) · Circulation Research · doi:10.1161/01.res.53.4.502 · Cited by 1,486 · see citing works
Self-citationHughes, T. J. R., Franca, L. P., & Balestra, M. (1986) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(86)90025-3 · Cited by 1,464 · see citing works
Self-citationHughes, T. J. R., Franca, L. P., & Hulbert, G. M. (1989) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(89)90111-4 · Cited by 1,458 · see citing works
Self-citationAdaptive regulation of wall shear stress to flow change in the canine carotid artery
Kamiya, A., & Togawa, T. (1980) · American Journal of Physiology-Heart and Circulatory Physiology · doi:10.1152/ajpheart.1980.239.1.h14 · Cited by 827 · see citing works
Automatic three‐dimensional mesh generation by the finite octree technique
Shephard, M. S., & Georges, M. K. (1991) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.1620320406 · Cited by 734 · see citing works
Shear stress regulation of artery lumen diameter in experimental atherogenesis
Zarins, C. K., Zatina, M. A., Giddens, D. P., Ku, D. N., & Glagov, S. K. (1987) · Journal of Vascular Surgery · doi:10.1016/0741-5214(87)90048-6 · Cited by 583 · see citing works
Self-citationMechanical loading history and skeletal biology
Carter, D. R. P. (1987) · Journal of Biomechanics · doi:10.1016/0021-9290(87)90027-3 · Cited by 510 · see citing works
Anastomotic intimal hyperplasia: Mechanical injury or flow induced
Bassiouny, H. S., White, S., Glagov, S. K., et al. (1992) · Journal of Vascular Surgery · doi:10.1016/0741-5214(92)90019-5 · Cited by 426 · see citing works
Remodeling of Developing and Mature Arteries
Langille, L. B. (1993) · Journal of Cardiovascular Pharmacology · doi:10.1097/00005344-199321001-00003 · Cited by 285 · see citing works
Object-Oriented Analysis and Design
Steeb, W.-H., & Solms, F. (1995) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789814261357_0013 · Cited by 247 · see citing works
Quantitative magnetic resonance flow imaging.
Pelc, N. J., Sommer, F. G., Li, K. C., et al. (1994) · PubMed · Cited by 242 · see citing works
Résumé and remarks on the open boundary condition minisymposium
Sani, R. L., & Gresho, P. M. (1994) · International Journal for Numerical Methods in Fluids · doi:10.1002/fld.1650181006 · Cited by 224 · see citing works
Perktold, K., Resch, M., & Peter, R. O. (1991) · Journal of Biomechanics · doi:10.1016/0021-9290(91)90029-m · Cited by 222 · see citing works
Perktold, K., Peter, R. O., Resch, M., et al. (1991) · Journal of Biomedical Engineering · doi:10.1016/0141-5425(91)90100-l · Cited by 213 · see citing works
Liu, S. Q., & Fung, Y. C. (1989) · Journal of Biomechanical Engineering · doi:10.1115/1.3168386 · Cited by 203 · see citing works
Vascular surgery : a comprehensive review
Moore, W. S. (1983) · Cited by 192 · see citing works
Musculoskeletal ontogeny, phylogeny, and functional adaptation
Carter, D. R. P., Zenobi‐Wong, M., & Orr, T. E. (1991) · Journal of Biomechanics · doi:10.1016/0021-9290(91)90373-u · Cited by 180 · see citing works
On time and space decomposition of complex structures
Courtois, P. J. (1985) · Communications of the ACM · doi:10.1145/3812.3814 · Cited by 171 · see citing works
Knowledge-Based Systems Engineering
Kantola, J., & Karwowski, W. (2012) · CRC Press eBooks · doi:10.1201/b12043-10 · Cited by 152 · see citing works
Moore, J. E., Ku, D. N., Zarins, C. K., et al. (1992) · Journal of Biomechanical Engineering · doi:10.1115/1.2891400 · Cited by 142 · see citing works
Self-citationBeere, P. A., Glagov, S., & Zarins, C. K. (1992) · Arteriosclerosis and Thrombosis A Journal of Vascular Biology · doi:10.1161/01.atv.12.11.1245 · Cited by 132 · see citing works
Self-citationJohan, Z., & Hughes, T. J. R. (1991) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(91)90009-u · Cited by 121 · see citing works
Self-citationLaser Doppler anemometer measurements of pulsatile flow in a model carotid bifurcation
Ku, D. N., & Giddens, D. P. (1987) · Journal of Biomechanics · doi:10.1016/0021-9290(87)90048-0 · Cited by 113 · see citing works
Vascular remodeling: mechanisms and implications.
Dzau, V. J., & Gibbons, G. H. (1993) · PubMed · Cited by 100 · see citing works
Laser Doppler anemometer measurements of pulsatile flow in a model carotid bifurcation
Blackshear, W. M. (1988) · Journal of Vascular Surgery · doi:10.1016/0741-5214(88)90029-8 · Cited by 94 · see citing works
Navier‐Stokes equations with imposed pressure and velocity fluxes
Conca, C., Parés, C., Pironneau, O., et al. (1995) · International Journal for Numerical Methods in Fluids · doi:10.1002/fld.1650200402 · Cited by 75 · see citing works
Vascular surgery: A comprehensive review
Lynch, T. G. (1994) · Journal of Vascular Surgery · doi:10.1016/0741-5214(94)90154-6 · Cited by 73 · see citing works
Aneurysm formation in experimental atherosclerosis: Relationship to plaque evolution
Zarins, C. K., Glagov, S. K., Vesselinovitch, D., et al. (1990) · Journal of Vascular Surgery · doi:10.1016/0741-5214(90)90144-y · Cited by 65 · see citing works
Self-citationDifferential response of arteries and vein grafts to blood flow reduction
Galt, S. W., Zwolak, R. M., Wagner, R. J., et al. (1993) · Journal of Vascular Surgery · doi:10.1016/0741-5214(93)90156-g · Cited by 62 · see citing works
Knowledge-Based Systems for Design
Dixon, J. R. (1995) · Journal of Mechanical Design · doi:10.1115/1.2836444 · Cited by 38 · see citing works
Capturing and Using Designer Intent in a Design-With-Features System
Nielsen, E. H., Dixon, J. R., & Zinsmeister, G. E. (1991) · ASME International Conference on Design Theory and Methodology (DTM) · doi:10.1115/detc1991-0035 · Cited by 23 · see citing works
Hemodynamic Factors in Atherosclerosis
Dock, W. (1965) · JAMA · doi:10.1001/jama.1965.03090110117047 · Cited by 15 · see citing works
W., C. E. (1885) · JAMA · doi:10.1001/jama.1885.02390790028013 · Cited by 10 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Boonya-ananta, T., Rodriguez, A. J., Ajmal, A., Du Le, V. N., Hansen, A. K., Hutcheson, J. D., & Ramella-Roman, J. C. (2021) · Scientific Reports · doi:10.1038/s41598-021-82124-4 · Cited by 70 · see citing works
Uncertainty quantification of simulated biomechanical stimuli in coronary artery bypass grafts
Tran, J. S., Schiavazzi, D. E., Kahn, A. M., & Marsden, A. L. (2019) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2018.10.024 · Cited by 37 · see citing works
- Authors
- Taylor, C. A., Hughes, T. J. R., & Zarins, C. K.
- Affiliations
- Stanford University (US)
- Stanford Medicine (US)
- Corresponding author
- Taylor, Charles A.
- Venue
- Computer Methods in Applied Mechanics and Engineering
- Publisher
- Elsevier BV
- Published
- 1998-05
- Volume
- 158
- Issue
- 1-2
- Pages
- 155-196
- ISSN
- 0045-7825 (ISSN-L)
- OpenAlex
- W2056352173
- Cited by
- 726
- References
- 39
- Citations by year
- 2026: 9 · 2025: 29 · 2024: 16 · 2023: 23 · 2022: 32 · 2021: 22 · 2020: 21 · 2019: 25 · 2018: 31 · 2017: 34 · 2016: 35 · 2015: 30 · 2014: 42 · 2013: 31 · 2012: 31
- FWCI
- 13.60
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Computer Methods in Applied Mechanics and Engineering (publishedVersion, cc-by-nc-nd)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
- Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Methods in Computational Mathematics
- Health Sciences › Medicine › Pulmonary and Respiratory Medicine › Blood properties and coagulation
- Keywords
- arterial blood flow, finite element analysis, vascular hemodynamics, pulsatile flow, vascular disease
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review