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Updated: Oct 23, 2025

In vitro Assessment of Aortic Regurgitation Using Four-Dimensional Flow Magnetic Resonance Imaging
Published on: February 25, 2022
Validation of 4D Flow based relative pressure maps in aortic flows
David Nolte1, Jesús Urbina2, Julio Sotelo3
1Bernoulli Institute, University of Groningen, Groningen, 9747AG, The Netherlands; Center for Mathematical Modeling, Universidad de Chile, Santiago, 8370456, Chile.
The Stokes Estimator (STE) offers a more accurate, non-invasive method for measuring pressure differences using 4D Flow MRI compared to the Pressure Poisson Estimator (PPE), especially in complex flow conditions.
Area of Science:
- Cardiovascular Imaging
- Biomedical Engineering
- Fluid Dynamics
Background:
- Invasive catheterization is the gold standard for measuring pressure differences, but 4D Flow MRI offers a non-invasive alternative.
- Quantifying pressure differences non-invasively is crucial for diagnosing and managing cardiovascular conditions.
Purpose of the Study:
- To validate and compare pressure difference map estimators using 4D Flow MRI data.
- To assess the accuracy and robustness of the Stokes Estimator (STE) against the Pressure Poisson Estimator (PPE).
Main Methods:
- Comparison of STE and PPE with invasive catheter pressure measurements.
- Utilized 4D Flow MRI data from realistic aortic phantoms and patients with aortic coarctation.
- Investigated estimator sensitivity to resolution, segmentation, and noise using phantom data.
Main Results:
- The STE method demonstrated higher accuracy than the PPE method when compared to catheterization data.
- STE's superiority increased with higher Reynolds numbers, excelling in convective flow regimes.
- STE showed improved robustness against variations in lumen segmentation.
Conclusions:
- The STE is a more accurate and robust non-invasive method for pressure difference quantification using 4D Flow MRI.
- STE shows promise for clinical applications, particularly in conditions with complex hemodynamics.
- Further research may refine PPE for specific scenarios, but STE offers broader advantages.
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