Abstract
Wall Shear Stress is a key factor in the development of atherosclerosis. To assess the WSS in-vivo, velocity encoded MRI is combined with geometry measurements by 3D MR-Angiography (MRA) and with blood flow calculations using the Finite Element Method (FEM). The 3D geometry extracted from the MRA data was converted to a mesh suitable for FEM calculations. Aiming at in-vivo studies the goal of this study was to quantify the differences between FEM calculations and MRI measurements. Two phantoms, a curved tube and a carotid bifurcation model were used. The geometry and the time-dependent flow-rate (measured by MRI) formed input for the FEM calculations. For good data quality, 2D velocity profiles were analyzed further by the Kolmogorov-Smirnov method. For the curved tube calculations and measurements matched well (probks approximately above 0.20). The carotid needs further investigation in segmentation and simulation to obtain similar results. It can be concluded that the error-analysis performs reliably.
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Box F.M.A., Spilt A.. Van Buchern M.A., Reiber J.H.C., Van der Geest R.J.: Automatic model based contour detection and flow quantification of blood flow in small vessels with velocity encoded MRI. Proc. ISMRM 7, Philadelphia (1999), 571
Davies. P.F.: Flow-mediated endothelial mechanotransduction. Physiological Reviews, Vol 75, (1995) 519–560
Van der Geest R.J., Niezen R.A., Van der Wall E.E., de Roos A., Reiber J.H.C.: Automatic Measurements of Volume Flow in the Ascending Aorta Using MR Velocity Maps: Evaluation of Inter-and Intraobserver Variability in Healthy Volunteers. J. Comput. Assist. Tomogr. Vol. 22(6) (1998) 904–911
Gijsen, F.J.H., Allanic, E., Van de Vosse, F.N., Janssen. J.D.: The influence of non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 90 degrees curved tube. J. of Biomechanics. Vol. 32(7), (1999) 705–713
Nichols W.W., O’Rourke M.F.: McDonald’s Blood Flow in Arteries. Theoretical, experimental and clinical principles. Fourth edition. Oxford University Press, Inc. (1998) 36–40
Press W.H., Teukolsky S.A., Vetterling W.T., Flannery. B.R.: Numerical Recipes in C. Cambridge University Press (1988), 491
Press W.H., Teukolsky S.A., Vetterling W.T., Flannery. B.R.: Numerical Recipes in C. Cambridge University Press (1992), 645–64
Rutten M.C.M.: Fluid-solid interaction in large arteries. Thesis Technical University Eindhoven, the Netherlands (1998)
Schaap J.A., De Koning P.J.H., Van der Geest R.J., Reiber J.H.C.: 3D Quantification and visualization of MRA. Proc. 15th CARS (2000) 928–933
Segal G.: Ingenieursbureau SEPRA, Park Nabij 3, Leidschendam, the Netherlands
Johnson A., Tezduyar T.: Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Computer methods in Applied Mechanics and Engineering, Vol 119, (1994) 73–94
Van de Vosse, F.N., Van Steenhoven, A.A., Segal, A., Janssen, J.D.: A finite element analysis of the steady laminar entrance flow in a 90 curve tube. Int. J. Num. Meth. In Fluids, Vol 9, (1989) 275–287
Womersley J.R.: An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries. Technical report, Wright Air Development Centre TR56-614, 1957.
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© 2002 Springer-Verlag Berlin Heidelberg
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Box, F.M.A. et al. (2002). Quantitative Methods for Comparisons between Velocity Encoded MR-Measurements and Finite Element Modeling in Phantom Models. In: Sloot, P.M.A., Hoekstra, A.G., Tan, C.J.K., Dongarra, J.J. (eds) Computational Science — ICCS 2002. ICCS 2002. Lecture Notes in Computer Science, vol 2331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47789-6_27
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