ArticleIEEE transactions on medical imaging2020
4D Flow MRI Pressure Estimation Using Velocity Measurement-Error-Based Weighted Least-Squares.
Article in IEEE transactions on medical imaging, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed, 31 citations in OpenAlex.
- Establishing Hemodynamic Convergence Framework for Coronary Digital Twins Under Realistic Dynamic Heart Rates.Physics of fluids (Woodbury, N.Y. : 1994) · 2025Article
- Super-Resolving and Denoising 4D flow MRI of Neurofluids Using Physics-Guided Neural Networks.Annals of biomedical engineering · 2025Article
- Left ventricle diastolic vortex ring characterization in ischemic cardiomyopathy: insight into atrio-ventricular interplay.Medical & biological engineering & computing · 2024Article
- Fetal and neonatal echocardiographic analysis of biomechanical alterations for the systemic right ventricle heart.PloS one · 2024Article
- Enhanced echocardiographic assessment of intracardiac flow in congenital heart disease.PloS one · 2024Article
- Cardiac MR modelling of systolic and diastolic blood pressure.Open heart · 2023Article
- Automatic 4D Flow MRI Segmentation Using the Standardized Difference of Means Velocity.IEEE transactions on medical imaging · 2023Article
- A Vector Fitting Approach for the Automated Estimation of Lumped Boundary Conditions of 1D Circulation Models.Cardiovascular engineering and technology · 2023Article
- Wall Shear Stress Estimation for 4D Flow MRI Using Navier-Stokes Equation Correction.Annals of biomedical engineering · 2022Article
- Relative pressure estimation from 4D flow MRI using generalized Bernoulli equation in a phantom model of arterial stenosis.Magma (New York, N.Y.) · 2022Article
- Modeling Bias Error in 4D Flow MRI Velocity Measurements.IEEE transactions on medical imaging · 2022Article
- On the numerical treatment of viscous and convective effects in relative pressure reconstruction methods.International journal for numerical methods in biomedical engineering · 2022Article
- A multi-modality approach for enhancing 4D flow magnetic resonance imaging via sparse representation.Journal of the Royal Society, Interface · 2022Article
- Noninvasive quantification of cerebrovascular pressure changes using 4D Flow MRI.Magnetic resonance in medicine · 2021Article
- Divergence-Free Constrained Phase Unwrapping and Denoising for 4D Flow MRI Using Weighted Least-Squares.IEEE transactions on medical imaging · 2021Article
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Authors and funding
8 authors at 3 institutions in 1 country.
Funding
Abstract
This work introduces a 4D flow magnetic resonance imaging (MRI) pressure reconstruction method which employs weighted least-squares (WLS) for pressure integration. Pressure gradients are calculated from the velocity fields, and velocity errors are estimated from the velocity divergence for incompressible flow. Pressure gradient errors are estimated by propagating the velocity errors through Navier-Stokes momentum equation. A weight matrix is generated based on the pressure gradient errors, then employed for pressure reconstruction. The pressure reconstruction method was demonstrated and analyzed using synthetic velocity fields as well as Poiseuille flow measured using in vitro 4D flow MRI. Performance of the proposed WLS method was compared to the method of solving the pressure Poisson equation which has been the primary method used in the previous studies. Error analysis indicated that the proposed method is more robust to velocity measurement errors. Improvement on pressure results was found to be more significant for the cases with spatially-varying velocity error level, with reductions in error ranging from 50% to over 200%. Finally, the method was applied to flow in patient-specific cerebral aneurysms. Validation was performed with in vitro flow data collected using Particle Tracking Velocimetry (PTV) and in vivo flow measurement obtained using 4D flow MRI. Pressure calculated by WLS, as opposed to the Poisson equation, was more consistent with the flow structures and showed better agreement between the in vivo and in vitro data. These results suggest the utility of WLS method to obtain reliable pressure field from clinical flow measurement data.
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