4D Flow MRI-based pressure loss estimation in stenotic flows: Evaluation using numerical simulations

Magn Reson Med. 2016 Apr;75(4):1808-21. doi: 10.1002/mrm.25772. Epub 2015 May 28.

Abstract

Purpose: To assess how 4D flow MRI-based pressure and energy loss estimates correspond to net transstenotic pressure gradients (TPGnet) and their dependence on spatial resolution.

Methods: Numerical velocity data of stenotic flow were obtained from computational fluid dynamics (CFD) simulations in geometries with varying stenosis degrees, poststenotic diameters and flow rates. MRI measurements were simulated at different spatial resolutions. The simplified and extended Bernoulli equations, Pressure-Poisson equation (PPE), and integration of turbulent kinetic energy (TKE) and viscous dissipation were compared against the true TPGnet .

Results: The simplified Bernoulli equation overestimated the true TPGnet (8.74 ± 0.67 versus 6.76 ± 0.54 mmHg). The extended Bernoulli equation performed better (6.57 ± 0.53 mmHg), although errors remained at low TPGnet . TPGnet estimations using the PPE were always close to zero. Total TKE and viscous dissipation correlated strongly with TPGnet for each geometry (r(2) > 0.93) and moderately considering all geometries (r(2) = 0.756 and r(2) = 0.776, respectively). TKE estimates were accurate and minorly impacted by resolution. Viscous dissipation was overall underestimated and resolution dependent.

Conclusion: Several parameters overestimate or are not linearly related to TPGnet and/or depend on spatial resolution. Considering idealized axisymmetric geometries and in absence of noise, TPGnet was best estimated using the extended Bernoulli equation. Magnetic Resonance in Medicine published by Wiley Periodicals, Inc. on behalf of International Society for Magnetic Resonance.

Keywords: aortic coarctation; aortic valve disease; phase contrast magnetic resonance imaging; pressure loss.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Aortic Coarctation / diagnostic imaging*
  • Aortic Valve / diagnostic imaging
  • Computer Simulation*
  • Humans
  • Imaging, Three-Dimensional / methods*
  • Magnetic Resonance Angiography / methods*
  • Phantoms, Imaging