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Relative pressure estimation from velocity measurements in blood flows: State‐of‐the‐art and new approaches
Author(s) -
Bertoglio Cristóbal,
Nuñez Rodolfo,
Galarce Felipe,
Nordsletten David,
Osses Axel
Publication year - 2018
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.2925
Subject(s) - compressibility , noise (video) , sensitivity (control systems) , gold standard (test) , relative velocity , mathematics , biomedical engineering , mechanics , computer science , physics , statistics , artificial intelligence , image (mathematics) , medicine , classical mechanics , engineering , electronic engineering
The relative pressure difference across stenotic blood vessels serves as an important clinical index for the diagnosis of many cardiovascular diseases. While the clinical gold standard for relative pressure difference measurements is invasive catheterization, Phase‐Contrast Magnetic Resonance Imaging has emerged as a promising tool for enabling a noninvasive quantification, by linking highly spatially resolved velocity measurements with relative pressures via the incompressible Navier‐Stokes equations. In this work, we provide a review and analysis of current methods for relative pressure estimation and propose 3 additional techniques. Methods are compared using synthetic data from numerical examples, and sensitivity to subsampling and noise was explored. Through our analysis, we verify that the newly proposed approaches are more robust with respect to spatial subsampling and less sensitive to noise and therefore provide improved means for estimating relative pressure differences noninvasively.