Open Access

ARTICLE

Patient-Specific Artery Shrinkage and 3D Zero-Stress State in Multi-Component 3D FSI Models for Carotid Atherosclerotic Plaques Based on In Vivo MRI Data

Xueying Huang^*, Chun Yang^†, Chun Yuan^‡, Fei Liu^‡, Gador Canton^‡, Jie Zheng^§, Pamela K. Woodard^§, Gregorio A. Sicard^¶, Dalin Tang^||

* Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609
† Mathematics Department, Beijing Normal University, Beijing, China
‡ Deparment of Radiology,University of Washington,Seattle, WA 98195
§ Mallinkcrodt Institute of Radiology, Washington University, St. Louis, MO. 63110
¶ Department of Surgery, WashingtonUniversity, St. Louis, MO, USA
|| Corresponding author. Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609, Phone: 508-831-5332,fax: 508-831-5824,e-mail: dtang@wpi.edu.

Molecular & Cellular Biomechanics 2009, 6(2), 121-134. https://doi.org/10.3970/mcb.2009.006.121

Abstract

Image-based computational models for atherosclerotic plaques have been developed to perform mechanical analysis to quantify critical flow and stress/strain conditions related to plaque rupture which often leads directly to heart attack or stroke. An important modeling issue is how to determine zero stress state from in vivo plaque geometries. This paper presents a method to quantify human carotid artery axial and inner circumferential shrinkages by using patient-specific ex vivo and in vivo MRI images. A shrink-stretch process based on patient-specific in vivo plaque morphology and shrinkage data was introduced to shrink the in vivo geometry first to find the zero-stress state (opening angle was ignored to reduce the complexity), and then stretch and pressurize to recover the in vivo plaque geometry with computed initial stress, strain, flow pressure and velocity conditions. Effects of the shrink-stretch process on plaque stress/strain distributions were demonstrated based on patient-specific data using 3D models with fluid-structure interactions (FSI). The average artery axial and inner circumferential shrinkages were 25% and 7.9%, respectively, based on a data set obtained from 10 patients. Maximum values of maximum principal stress and strain increased 349.8% and 249% respectively with 33% axial stretch. Influence of inner circumferential shrinkage (7.9%) was not very noticeable under 33% axial stretch, but became more noticeable under smaller axial stretch. Our results indicated that accurate knowledge of artery shrinkages and the shrink-stretch process will considerably improve the accuracy of computational predictions made based on results from those in vivo MRI-based FSI models.

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