Effect of a Lipid Pool on Stress/Strain Distributions in Stenotic Arteries: 3-D Fluid-Structure Interactions (FSI) Models

[+] Author and Article Information
Dalin Tang

Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609

Chun Yang

Mathematics Dept, Beijing Normal University, China

Shunichi Kobayashi

Dept. of Functional Machinery and Mechanics, Shinshu Univ., Nagano, Japan

David N. Ku

School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

J Biomech Eng 126(3), 363-370 (Jun 24, 2004) (8 pages) doi:10.1115/1.1762898 History: Received April 24, 2003; Revised October 15, 2003; Online June 24, 2004
Copyright © 2004 by ASME
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The hydrogel stenotic tube with a lipid pool used in the experiment. L=11 cm, Ls=1.6 cm, D=0.8 cm, h=0.1 cm.
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Geometries of stenosis models used in the computational simulation. Tubes were cut short for better viewing. Severity=70%, eccentricity=100%. a) baseline model; b) smaller pool, c) pool with a thinner cap.
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Stress/strain (stretch ratio) relations for vessel material given by Mooney-Rivlin model matches experimental data well. Experimental data: positive stress part derived from tube law, negative stress part was measured by compression test. Lagrange Stress is plotted.
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Maximum principal stress band plots showing effects of initial axial stretch, pressurization and FSI on stress distributions. a) p=0 mmHg, 36.5% axial stretch, no FSI; b) p=100 mmHg, no stretch, no FSI; c) p=100 mmHg, 36.5% stretch, no FSI; d) Pin=100 mmHg, Pout=20 mmHg, 36.5% stretch, FSI; e) Plot on the tube inner surface for baseline model. Stenosis part included.
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Maximum principal stress plots showing higher pressure, smaller lipid pool, and thinner plaque cap have considerable impact on stress distributions. Stenosis severity=70%. Eccentricity=100%. a) higher pressure case; b) smaller lipid pool case; c) thinner cap case.
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Flow velocity, shear stress and pressure plots for baseline case showing flow recirculation, peak shear stress and negative pressure minimum. a) velocity plot; b) shear stress along up and low boundary lines; c) pressure distribution in stenosis region has a complex pattern. Small dark arrows in a) are for illustration purpose only. They are not quantitative.
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Stenosis eccentricity has considerable effect on extreme stress/strain values and locations. Stenosis severity: 70%. Pin=100 mmHg. Pout=20 mmHg. Lipid pool is removed for simplicity. a) maximal principal stress plot for Ecc=100%; b) maximal principal stress plot for Ecc=0%; c) circumferential strain plot for Ecc=100%; d) circumferential strain plot for Ecc=0%.
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Flow rates from computational model compared with experimental measurements. Stenosis severity=70%. Eccentricity=100%. Pin=100 mmHg. Pout=90–10 mmHg with increment 10 mmHg. The disagreement is about 5% which may be due to the larger lipid pool in the computational model which makes the true severity of the computational model smaller than the true severity of the experimental model. True severity=(D−Ds)/D where D and Ds are all measured with pressure and stretch applied.
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Tube circumferential stretch (straight part) from computational model compared with experimental tube-law measurements. Parameters are the same as in Fig. 8. The agreement is good since material properties were chosen to match experimental tube law.




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