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TECHNICAL PAPERS

Computational Analysis of Coupled Blood-Wall Arterial LDL Transport

[+] Author and Article Information
D. Kim Stangeby

Department of Mechanical Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario M55 3G8 Canada

C. Ross Ethier

Department of Mechanical Engineering and Institute of Biomaterials and Biomedical Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario M5S 3G8 Canadae-mail: ethier@mie.utoronto.ca

J Biomech Eng 124(1), 1-8 (Sep 17, 2001) (8 pages) doi:10.1115/1.1427041 History: Received December 15, 1999; Revised September 17, 2001
Copyright © 2002 by ASME
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Figures

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Stenotic geometry used in LDL transport studies. Bottom edge is line of symmetry and geometry dimensions are shown as a function of the radius length R. The area reduction at the throat of the stenosis is 75 percent, and the stenosis is centerd at x/R=7. Note the definitions of coordinate directions (x,r) and velocity components (u,v). Not shown to scale.
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Streamlines and pressure distribution for case of 100 mmHg transmural pressure difference at outlet and normalized inverse permeability of 5×1012. (a) Streamlines in lumen showing recirculation region, and in wall (shaded) showing transmural fluid permeation. (b) Pressure contours. Note that contours in lumen are in the range 0 to 2 mmHg in steps of 0.25 mmHg, while contours in wall are in range −100 to 0 mmHg in steps of 20 mmHg. The outlet pressure was set to 0 mmHg in this simulation. Label values on contours are in mmHg.
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Normalized LDL concentration at the blood-wall interface versus axial position in the stenosis region, for differing wall permeabilities. For all simulations, the transmural pressure difference at the outlet was 100 mmHg, and the normalized inverse permeability of the wall tissue in the non-stenosed region was 5×1012. In the stenosed region, the normalized inverse permeability took the values 5×1012 (baseline case), 1×1012, and 5×1011.
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Normalized LDL flux into the artery wall versus axial position in the stenosis region, for differing wall permeabilities. The upper portion of the graph shows the normalized wall shear stress in the stenosis (right scale). See legend of Fig. 3 for description of simulation input parameters. The normalizing factor for LDL flux, UC0, was 20.4 mg LDL/(cm2 s), and the normalizing wall shear stress was the inlet Poiseuille value, 7.2 dynes/cm2 . The inset at top shows the geometry of the stenosis: lumen is white and wall tissue is black.

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