In silico uncertainty quantification of the wall shear stress computed from phase-contrast 4d flow measurements.
Constanza Gaínza1,2, Daniele E Schiavazzi3, and Carlos A Sing-Long1,2,4,5,6
1Institute for Mathematical and Computational Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile, 2Millennium Nucleus Center for the Discovery of Structure in Complex Data, Santiago, Chile, 3Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, United States, 4Institute for Biological and Medical Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile, 5Millennium Nucleus for Cardiovascular Magnetic Resonance, Santiago, Chile, 6Biomedical Imaging Center, Pontificia Universidad Católica de Chile, Santiago, Chile
The wall shear stress (WSS) is a relevant biomarker associated with the rupture of atherosclerotic plaques that can be computed from blood flow velocity measurements. We study the effect of noise velocity on the quantification of the WSS with a focus on the spatial correlations that may arise. We perform in silico experiments in which we consider a Hagen-Poiseuille flow and two noise distributions. Our results show evidence on the existence of spatial correlations in the WSS even when the velocity noise is uncorrelated.
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