Fredriksson AG, Svalbring E, Eriksson J, Dyverfeldt P, Alehagen U, Engvall J, Ebbers T, Carlhäll CJ (2016) 4D flow MRI can detect subtle right ventricular dysfunction in primary left ventricular disease. J Magn Reson Imaging 43:558–565 Article Google Scholar
Szajer J, Ho-Shon K (2018) A comparison of 4D flow MRI-derived wall shear stress with computational fluid dynamics methods for intracranial aneurysms and carotid bifurcations—a review. Magn Reson Imaging 48:62–69 Article Google Scholar
Frydrychowicz A, Berger A, Del Rio AM et al (2012) Interdependencies of aortic arch secondary flow patterns, geometry, and age analysed by 4-dimensional phase contrast magnetic resonance imaging at 3 Tesla. Eur Radiol 22:1122–1130 Article Google Scholar
Lawley CM, Broadhouse KM, Callaghan FM, Winlaw DS, Figtree GA, Grieve SM (2018) 4D flow magnetic resonance imaging: role in pediatric congenital heart disease. Asian Cardiovasc Thorac Ann 26:28–37 Article Google Scholar
Shalhub S, Schäfer M, Hatsukami TS, Sweet MP, Reynolds JJ, Bolster FA, Shin SH, Reece TB, Singh N, Starnes BW, Jazaeri O (2018) Association of variant arch anatomy with type B aortic dissection and hemodynamic mechanisms. J Vasc Surg 68:1640–1648 Article Google Scholar
Tan G, Soon J, Khoo P, et al. (2019) Original Article A review of aortic disease research in Malaysia. 74:67–78
Hope TA, Markl M, Wigström L et al (2007) Comparison of flow patterns in ascending aortic aneurysms and volunteers using four-dimensional magnetic resonance velocity mapping. J Magn Reson Imaging An Off J Int Soc Magn Reson Med 26:1471–1479 Google Scholar
Bogren HG, Buonocore MH, Valente RJ (2004) Four-dimensional magnetic resonance velocity mapping of blood flow patterns in the aorta in patients with atherosclerotic coronary artery disease compared to age-matched normal subjects. J Magn Reson Imaging An Off J Int Soc Magn Reson Med 19:417–427 Google Scholar
Bieging ET, Frydrychowicz A, Wentland A, Landgraf BR, Johnson KM, Wieben O, François CJ (2011) In vivo three-dimensional MR wall shear stress estimation in ascending aortic dilatation. J Magn Reson Imaging 33:589–597 Article Google Scholar
Sughimoto K, Takahara Y, Mogi K, Yamazaki K, Tsubota K’, Liang F, Liu H (2014) Blood flow dynamic improvement with aneurysm repair detected by a patient-specific model of multiple aortic aneurysms. Heart Vessel 29:404–412 Article Google Scholar
Gallo D, De Santis G, Negri F et al (2012) On the use of in vivo measured flow rates as boundary conditions for image-based hemodynamic models of the human aorta: implications for indicators of abnormal flow. Ann Biomed Eng 40:729–741 ArticleCAS Google Scholar
Natsume K, Shiiya N, Takehara Y, Sugiyama M, Satoh H, Yamashita K, Washiyama N (2017) Characterizing saccular aortic arch aneurysms from the geometry-flow dynamics relationship. J Thorac Cardiovasc Surg 153:1413–1420 Article Google Scholar
Westerweel J, Scarano F (2005) Universal outlier detection for PIV data. Exp Fluids 39:1096–1100 Article Google Scholar
Gunes H, Rist U (2007) Spatial resolution enhancement/smoothing of stereo–particle-image-velocimetry data using proper-orthogonal-decomposition–based and Kriging interpolation methods. Phys Fluids 19:64101 Article Google Scholar
Song SM, Napel S, Glover GH, Pelc NJ (1993) Noise reduction in three-dimensional phase-contrast MR velocity measurementsl. J Magn Reson Imaging 3:587–596 ArticleCAS Google Scholar
Busch J, Giese D, Wissmann L, Kozerke S (2013) Reconstruction of divergence-free velocity fields from cine 3D phase-contrast flow measurements. Magn Reson Med 69:200–210 Article Google Scholar
Ong F, Uecker M, Tariq U, et al. (2013) Improved visualization and quantification of 4D flow MRI data using divergence-freewavelet denoising. In: Biomedical Imaging (ISBI), 2013 IEEE 10th International Symposium on. IEEE, 1186–1189
Wang C, Gao Q, Wang H, Wei RJ, Li T, Wang JJ (2016) Divergence-free smoothing for volumetric PIV data. Exp Fluids 57:15 Article Google Scholar
Boussel L, Rayz V, Martin A, Acevedo-Bolton G, Lawton MT, Higashida R, Smith WS, Young WL, Saloner D (2009) Phase-contrast magnetic resonance imaging measurements in intracranial aneurysms in vivo of flow patterns, velocity fields, and wall shear stress: comparison with computational fluid dynamics. Magn Reson Med An Off J Int Soc Magn Reson Med 61:409–417 Article Google Scholar
Potters WV, van Ooij P, Marquering H, vanBavel E, Nederveen AJ (2015) Volumetric arterial wall shear stress calculation based on cine phase contrast MRI. J Magn Reson Imaging 41:505–516 Article Google Scholar
Riminarsih D, Karyati CM, Mutiara AB, Wahyudi B (2016) Wall shear stress calculation based on MRI image in patients with abdominal aortic aneurysm (AAA). In: Informatics and Computing (ICIC), International Conference on. IEEE, 442–446
Kendall A, Koochesfahani M (2008) A method for estimating wall friction in turbulent wall-bounded flows. Exp Fluids 44:773–780 Article Google Scholar
Li F, Gao Q, Qiao E, Yin G, Zhang RJ, Zhao SH, Wang W (2020) Contributing factor of proximal arch dilation in patients with bicuspid aortic valve—wall shear stress or upward extension of ascending aorta dilation? Heart Surg Forum 23:E435–E440. https://doi.org/10.1532/hsf.2925 ArticlePubMed Google Scholar
Li H, Manjunath BS (1995) Multisensor-Image-Fusion-Using-the-Wavelet-Transform_1995_Graphical-Models-and-Image-Processing.pdf. Graph Model image Process 57:235–245 Article Google Scholar
Huang T, Yang G, Tang G (1979) A fast two-dimensional median filtering algorithm. IEEE Trans Acoust 27:13–18 Article Google Scholar
Otsu N (1979) A threshold selection method from gray-level histograms. IEEE Trans Syst Man Cybern 9:62–66 Article Google Scholar
Kazhdan M, Bolitho M, Hoppe H (2006) Poisson surface reconstruction. Eurographics Symposium on Geometry Processing Google Scholar
Garcia D (2010) Robust smoothing of gridded data in one and higher dimensions with missing values. Comput Stat Data Anal 54:1167–1178 Article Google Scholar
Lantz J, Renner J, Karlsson M (2011) Wall shear stress in a subject specific human aorta - influence of fluid-structure interaction. Int J Appl Mech 3:759–778 Article Google Scholar
Uus A (2016) Patient-specific blood flow modelling in diagnosis of coronary artery disease
Miyazaki S, Itatani K, Furusawa T, Nishino T, Sugiyama M, Takehara Y, Yasukochi S (2017) Validation of numerical simulation methods in aortic arch using 4D Flow MRI. Heart Vessel 32:1032–1044 Article Google Scholar
Kilner PJ, Yang GZ, Mohiaddin RH, Firmin DN, Longmore DB (1993) Helical and retrograde secondary flow patterns in the aortic arch studied by three-directional magnetic resonance velocity mapping. Circulation 88:2235–2247 ArticleCAS Google Scholar
Frydrychowicz A, Winterer JT, Zaitsev M et al (2007) Visualization of iliac and proximal femoral artery hemodynamics using time-resolved 3D phase contrast MRI at 3T. J Magn Reson Imaging An Off J Int Soc Magn Reson Med 25:1085–1092 Google Scholar
Stalder AF, Russe MF, Frydrychowicz A, Bock J, Hennig J, Markl M (2008) Quantitative 2D and 3D phase contrast MRI: optimized analysis of blood flow and vessel wall parameters. Magn Reson Med 60:1218–1231 ArticleCAS Google Scholar
Oyre S, Ringgaard S, Kozerke S, Paaske WP, Erlandsen M, Boesiger P, Pedersen EM (1998) Accurate noninvasive quantitation of blood flow, cross-sectional lumen vessel area and wall shear stress by three-dimensional paraboloid modeling of magnetic resonance imaging velocity data. J Am Coll Cardiol 32:128–134 ArticleCAS Google Scholar
Cibis M, Potters WV, Gijsen FJ, Marquering H, van Ooij P, vanBavel E, Wentzel JJ, Nederveen AJ (2016) The effect of spatial and temporal resolution of cine phase contrast MRI on wall shear stress and oscillatory shear index assessment. PLoS One 11:1–15. https://doi.org/10.1371/journal.pone.0163316 ArticleCAS Google Scholar
Rodríguez-Palomares JF, Dux-Santoy L, Guala A, Kale R, Maldonado G, Teixidó-Turà G, Galian L, Huguet M, Valente F, Gutiérrez L, González-Alujas T, Johnson KM, Wieben O, García-Dorado D, Evangelista A (2018) Aortic flow patterns and wall shear stress maps by 4D-flow cardiovascular magnetic resonance in the assessment of aortic dilatation in bicuspid aortic valve disease. J Cardiovasc Magn Reson 20:28. https://doi.org/10.1186/s12968-018-0451-1 ArticlePubMedPubMed Central Google Scholar
Geiger J, Rahsepar AA, Suwa K, Powell A, Ghasemiesfe A, Barker AJ, Collins JD, Carr JC, Markl M (2018) 4D flow MRI, cardiac function, and T 1 -mapping: association of valve-mediated changes in aortic hemodynamics with left ventricular remodeling. J Magn Reson Imaging 48:121–131. https://doi.org/10.1002/jmri.25916 ArticlePubMed Google Scholar
van Ooij P, Markl M, Collins JD, Carr JC, Rigsby C, Bonow RO, Malaisrie SC, McCarthy PM, Fedak PWM, Barker AJ (2017) Aortic valve stenosis alters expression of regional aortic wall shear stress: new insights from a 4-dimensional flow magnetic resonance imaging study of 571 subjects. J Am Heart Assoc 6:1–14. https://doi.org/10.1161/JAHA.117.005959 Article Google Scholar
Lenz A, Petersen J, Riedel C, Weinrich JM, Kooijman H, Schoennagel BP, Adam G, von Kodolitsch Y, Reichenspurner H, Girdauskas E, Bannas P (2020) 4D flow cardiovascular magnetic resonance for monitoring of aortic valve repair in bicuspid aortic valve disease. J Cardiovasc Magn Reson 22:1–10. https://doi.org/10.1186/s12968-020-00608-0 Article Google Scholar
Rahiminejad M, Haghighi A, Dastan A et al (2012) Fluid-structure interaction study in rigid and compliant airways. Acta Mech Sinica 38:1836–1853 Google Scholar
Soudah E, Casacuberta J, Gamez-Montero PJ et al (2017) Estimation of wall shear stress using 4D flow cardiovascular MRI and computational fluid dynamics. J Mech Med Biol 17:1–14 Article Google Scholar