Longitudinal displacement in viscoelastic arteries:A novel fluid-structure interaction computational model, and experimental validation

Martina Bukač; Sunčica Čanić

doi:10.3934/mbe.2013.10.295

Article Contents

2013, Volume 10, Issue 2: 295-318. Doi: 10.3934/mbe.2013.10.295

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Longitudinal displacement in viscoelastic arteries: A novel fluid-structure interaction computational model, and experimental validation

Martina Bukač^1, and
Sunčica Čanić^1,

1.
Department of Mathematics, University of Houston, 4800 Calhoun Rd, Houston, TX 77204

Received: June 30, 2012

Revised: August 31, 2012

Published: December 2012

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Abstract

Recent in vivo studies, utilizing ultrasound contour and speckle tracking methods, have identified significant longitudinal displacements of the intima-media complex, and viscoelastic arterial wall properties over a cardiac cycle. Existing computational models that use thin structure approximations of arterial walls have so far been limited to models that capture only radial wall displacements. The purpose of this work is to present a simple fluid-struture interaction (FSI) model and a stable, partitioned numerical scheme, which capture both longitudinal and radial displacements, as well as viscoelastic arterial wall properties. To test the computational model, longitudinal displacement of the common carotid artery and of the stenosed coronary arteries were compared with experimental data found in literature, showing excellent agreement. We found that, unlike radial displacement, longitudinal displacement in stenotic lesions is highly dependent on the stenotic geometry. We also showed that longitudinal displacement in atherosclerotic arteries is smaller than in healthy arteries, which is in line with the recent in vivo measurements that associate plaque burden with reduced total longitudinal wall displacement.
This work presents a first step in understanding the role of longitudinal displacement in physiology and pathophysiology of arterial wall mechanics using computer simulations.

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Mathematics Subject Classification: Primary: 35Q30, 74F10; Secondary: 92C50.

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