Relative pressure estimation from velocity measurements in blood flows: state-of-the-art and new approaches
Résumé
The pressure gradient across stenotic blood vessels is an important clinical index for diagnosis of the pathological severity of the cardiovascular disease. While the clinical gold standard for its measurement is invasive catheterization, Phase-Contrast MR-imaging has emerged as a promising tool for enabling a non-invasive quantification of the relative pressures, by linking the (highly spatially resolved) velocity measurements with the relative pressure via the Navier-Stokes equations. In this work we first provide a review of current methods for relative pressure estimation, propose new ones and perform a theoretical bias analysis for all of them. Finally, we compare the precision and robustness all these approaches on numerical examples using subsampled and noisy synthetic data verifying the theoretical findings.
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