Three-dimensional quantification of vorticity and helicity from 3D cine PC-MRI using finite-element interpolations.
Magn Reson Med
; 79(1): 541-553, 2018 Jan.
Article
em En
| MEDLINE
| ID: mdl-28370386
ABSTRACT
PURPOSE:
We propose a 3D finite-element method for the quantification of vorticity and helicity density from 3D cine phase-contrast (PC) MRI.METHODS:
By 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).RESULTS:
We 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 2 mm 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.CONCLUSIONS:
We 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 79541-553, 2018. © 2017 International Society for Magnetic Resonance in Medicine.Palavras-chave
Texto completo:
1
Base de dados:
MEDLINE
Assunto principal:
Processamento de Imagem Assistida por Computador
/
Imagem Cinética por Ressonância Magnética
/
Análise de Elementos Finitos
/
Imageamento Tridimensional
Tipo de estudo:
Prognostic_studies
/
Risk_factors_studies
Limite:
Adult
/
Female
/
Humans
/
Male
Idioma:
En
Ano de publicação:
2018
Tipo de documento:
Article