2002
DOI: 10.1114/1.1511239
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Quantification of Wall Shear Stress in Large Blood Vessels Using Lagrangian Interpolation Functions with Cine Phase-Contrast Magnetic Resonance Imaging

Abstract: Arterial wall shear stress is hypothesized to be an important factor in the localization of atherosclerosis. Current methods to compute wall shear stress from magnetic resonance imaging (MRI) data do not account for flow profiles characteristic of pulsatile flow in noncircular vessel lumens. We describe a method to quantify wall shear stress in large blood vessels by differentiating velocity interpolation functions defined using cine phase-contrast MRI data on a band of elements in the neighborhood of the vess… Show more

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Cited by 100 publications
(90 citation statements)
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References 27 publications
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“…In this study, ÎŒ was 1 cP. Q is the flow rate of the bioreactor, which ranged from 0 to 1000 ml/min, and r is the radius of the scaffolds [16] . Direct exposure of MSCs seeded onto the tubular scaffolds to shear stress of a physiological level (15 dyne/cm 2 ) would cause the cells to detach from the scaffolds.…”
Section: Methodsmentioning
confidence: 99%
“…In this study, ÎŒ was 1 cP. Q is the flow rate of the bioreactor, which ranged from 0 to 1000 ml/min, and r is the radius of the scaffolds [16] . Direct exposure of MSCs seeded onto the tubular scaffolds to shear stress of a physiological level (15 dyne/cm 2 ) would cause the cells to detach from the scaffolds.…”
Section: Methodsmentioning
confidence: 99%
“…This large error is due to the nonlinear velocity profile at the wall and ignorance of the radial derivatives. Enhancement was recently reported by Cheng et al (2002) by introducing piecewise Lagrangian basis functions and segmenting the vessel lumen with a level set method.…”
Section: Shear Stressmentioning
confidence: 99%
“…Although being studied by many authors (e.g. Womersley, 1955;McDonald, 1974;Caro et al, 1978;Ku et al, 1985;Moore et al, 1994a, b;Reneman et al, 1993;Taylor et al, 1996;Gijsen et al, 1997;Vorp et al, 1998;Wootton and Ku, 1999), the relation between flow fields and cardiovascular diseases is still not fully understood, and is currently receiving more and more attention (Botnar et al, 2000;Berthier et al, 2002;Cheng et al, 2002).…”
Section: Introductionmentioning
confidence: 99%
“…Level set-based segmentation of the wall together with cubic Lagrangian interpolation has been used for MRI-based WSS estimation in large vessels [92]. According to the no-slip condition, the velocity should be zero at the wall.…”
Section: Parabolic and Cubic Spline-based Methodsmentioning
confidence: 99%