Assessment of 4D flow MRI's quality by verifying its Navier-Stokes compatibility

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dc.contributor.authorGaray, Jeremias
dc.contributor.authorMella, Hernan
dc.contributor.authorSotelo, Julio
dc.contributor.authorCarcamo, Cristian
dc.contributor.authorUribe, Sergio
dc.contributor.authorBertoglio, Cristobal
dc.contributor.authorMura, Joaquin
dc.date.accessioned2025-01-20T21:08:05Z
dc.date.available2025-01-20T21:08:05Z
dc.date.issued2022
dc.description.abstract4D Flow Magnetic Resonance Imaging (MRI) is the state-of-the-art technique to comprehensively measure the complex spatio-temporal and multidirectional patterns of blood flow. However, it is subject to artifacts such as noise and aliasing, which due to the 3D and dynamic structure is difficult to detect in clinical practice. In this work, a new mathematical and computational model to determine the quality of 4D Flow MRI is presented. The model is derived by assuming the true velocity satisfies the incompressible Navier-Stokes equations and that can be decomposed by the measurements u -> meas$$ {\overrightarrow{u}}_{meas} $$ plus an extra field w ->$$ \overrightarrow{w} $$. Therefore, a non-linear problem with w ->$$ \overrightarrow{w} $$ as unknown arises, which serves as a measure of data quality. A stabilized finite element formulation tailored to this problem is proposed and analyzed. Then, extensive numerical examples-using synthetic 4D Flow MRI data as well as real measurements on experimental phantom and subjects-illustrate the ability to use w ->$$ \overrightarrow{w} $$ for assessing the quality of 4D Flow MRI measurements over space and time.
dc.fuente.origenWOS
dc.identifier.doi10.1002/cnm.3603
dc.identifier.eissn2040-7947
dc.identifier.issn2040-7939
dc.identifier.urihttps://doi.org/10.1002/cnm.3603
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93456
dc.identifier.wosidWOS:000792367600001
dc.issue.numero6
dc.language.isoen
dc.revistaInternational journal for numerical methods in biomedical engineering
dc.rightsacceso restringido
dc.subject4D flow MRI
dc.subjectblood flows
dc.subjectNavier-Stokes equations
dc.subjectstabilized finite elements
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleAssessment of 4D flow MRI's quality by verifying its Navier-Stokes compatibility
dc.typeartículo
dc.volumen38
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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