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

Cristóbal Bertoglio*, Rodolfo Nuñez, Felipe Galarce, David Nordsletten, Axel Osses

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 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 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.

Original languageEnglish
JournalInternational Journal For Numerical Methods In Biomedical Engineering
Early online date9 Nov 2017
Publication statusE-pub ahead of print - 9 Nov 2017


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


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