Relative pressure estimation from velocity measurements in blood flows: state-of-the-art and new approaches

Cristóbal Bertoglio, Rodolfo Núñez, Felipe Galarce, David Nordsletten, Axel Osses

Research output: Contribution to journalArticleAcademicpeer-review

20 Citations (Scopus)


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 non-invasive 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 three 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 non-invasively. This article is protected by copyright. All rights reserved.
Original languageEnglish
Article numbere2925
Number of pages16
JournalInternational journal for numerical methods in biomedical engineering
Issue number2
Publication statusPublished - Feb-2018
Externally publishedYes


  • Navier-Stokes equations
  • blood flows
  • Relative pressure estimation
  • Phase-contrast MRI

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