Three-dimensional quantification of vorticity and helicity from 3D cine PC-MRI using finite-element interpolations

被引:25
|
作者
Sotelo, Julio [1 ,2 ,3 ]
Urbina, Jesus [1 ,4 ]
Valverde, Israel [5 ,6 ]
Mura, Joaquin [1 ]
Tejos, Cristian [1 ,2 ,7 ,8 ,9 ]
Irarrazaval, Pablo [1 ,2 ,7 ,8 ,9 ]
Andia, Marcelo E. [1 ,4 ,7 ,8 ,9 ]
Hurtado, Daniel E. [3 ,7 ,8 ,9 ]
Uribe, Sergio [1 ,4 ,7 ,8 ,9 ]
机构
[1] Pontificia Univ Catolica Chile, Biomed Imaging Ctr, Marcoleta 367, Santiago, Chile
[2] Pontificia Univ Catolica Chile, Dept Elect Engn, Santiago, Chile
[3] Pontificia Univ Catolica Chile, Dept Struct & Geotech Engn, Santiago, Chile
[4] Pontificia Univ Catolica Chile, Sch Med, Dept Radiol, Marcoleta 367, Santiago, Chile
[5] Hosp Virgen del Rocio, Pediat Cardiol Unit, Seville, Spain
[6] Hosp Virgen del Rocio, Inst Biomed Seville IBIS, Cardiovasc Pathol Unit, Seville, Spain
[7] Pontificia Univ Catolica Chile, Inst Biol & Med Engn, Sch Engn, Santiago, Chile
[8] Pontificia Univ Catolica Chile, Inst Biol & Med Engn, Sch Med, Santiago, Chile
[9] Pontificia Univ Catolica Chile, Inst Biol & Med Engn, Sch Biol Sci, Santiago, Chile
关键词
3D cine PC-MRI; vorticity; helicity; finite elements; flow quantification; WALL SHEAR-STRESS; CARDIOVASCULAR MAGNETIC-RESONANCE; BLOOD-FLOW PATTERNS; PHASE-CONTRAST MRI; 4D FLOW; THORACIC AORTA; VORTEX FORMATION; WHOLE-HEART; HEMODYNAMICS; ANEURYSM;
D O I
10.1002/mrm.26687
中图分类号
R8 [特种医学]; R445 [影像诊断学];
学科分类号
1002 ; 100207 ; 1009 ;
摘要
PurposeWe propose a 3D finite-element method for the quantification of vorticity and helicity density from 3D cine phase-contrast (PC) MRI. MethodsBy using a 3D finite-element method, we seamlessly estimate velocity gradients in 3D. The robustness and convergence were analyzed using a combined Poiseuille and Lamb-Ossen equation. A computational fluid dynamics simulation was used to compared our method with others available in the literature. Additionally, we computed 3D maps for different 3D cine PC-MRI data sets: phantom without and with coarctation (18 healthy volunteers and 3 patients). ResultsWe found a good agreement between our method and both the analytical solution of the combined Poiseuille and Lamb-Ossen. The computational fluid dynamics results showed that our method outperforms current approaches to estimate vorticity and helicity values. In the in silico model, we observed that for a tetrahedral element of 2mm of characteristic length, we underestimated the vorticity in less than 5% with respect to the analytical solution. In patients, we found higher values of helicity density in comparison to healthy volunteers, associated with vortices in the lumen of the vessels. ConclusionsWe proposed a novel method that provides entire 3D vorticity and helicity density maps, avoiding the used of reformatted 2D planes from 3D cine PC-MRI. Magn Reson Med 79:541-553, 2018. (c) 2017 International Society for Magnetic Resonance in Medicine.
引用
收藏
页码:541 / 553
页数:13
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