Dimitrios E. Kiousis
Stephan F. Rubinigg
Institute of Biomechanics,
Center of Biomedical Engineering,
Graz University of Technology,
Kronesgasse 5-I,
8010 Graz, Austria
Martin Auer
Department of Solid Mechanics,
School of Engineering Sciences,
Royal Institute of Technology (KTH),
10044 Stockholm, Sweden
Gerhard A. Holzapfel
1
Institute of Biomechanics,
Center of Biomedical Engineering,
Graz University of Technology,
Kronesgasse 5-I,
8010 Graz, Austria;
Department of Solid Mechanics,
School of Engineering Sciences,
Royal Institute of Technology (KTH),
10044 Stockholm, Sweden
e-mail: holzapfel@tugraz.at
A Methodology to Analyze
Changes in Lipid Core and
Calcification Onto Fibrous Cap
Vulnerability: The Human
Atherosclerotic Carotid
Bifurcation as an Illustratory
Example
A lipid core that occupies a high proportion of the plaque volume in addition to a thin
fibrous cap is a predominant indicator of plaque vulnerability. Nowadays, noninvasive
imaging modalities can identify such structural components, however, morphological
criteria alone cannot reliably identify high-risk plaques. Information, such as stresses in
the lesion’s components, seems to be essential. This work presents a methodology able to
analyze the effect of changes in the lipid core and calcification on the wall stresses, in
particular, on the fibrous cap vulnerability. Using high-resolution magnetic resonance
imaging and histology of an ex vivo human atherosclerotic carotid bifurcation, a patient-
specific three-dimensional geometric model, consisting of four tissue components, is gen-
erated. The adopted constitutive model accounts for the nonlinear and anisotropic tissue
behavior incorporating the collagen fiber orientation by means of a novel and robust
algorithm. The material parameters are identified from experimental data. A novel stress-
based computational cap vulnerability index is proposed to assess quantitatively the
rupture-risk of fibrous caps. Nonlinear finite element analyses identify that the highest
stress regions are located at the vicinity of the shoulders of the fibrous cap and in the stiff
calcified tissue. A parametric analysis reveals a positive correlation between the increase
in lipid core portion and the mechanical stress in the fibrous cap and, hence, the risk for
cap rupture. The highest values of the vulnerability index, which correlate to more vul-
nerable caps, are obtained for morphologies for which the lipid cores were severe;
heavily loaded fibrous caps were thus detected. The proposed multidisciplinary method-
ology is able to investigate quantitatively the mechanical behavior of atherosclerotic
plaques in patient-specific stenoses. The introduced vulnerability index may serve as a
more quantitative tool for diagnosis, treatment and prevention.
DOI: 10.1115/1.4000078
Keywords: artery, calcification, carotid bifurcation, fibrous cap, lipid core, MRI,
vulnerability
1 Introduction
Atherosclerosis is the main determinant of cardiovascular dis-
eases, the leading cause of cardiovascular morbidity and mortality
around the globe 1,2. Although luminal narrowing and exagger-
ated or anomalous vasoconstriction contribute to some of the
clinical manifestations of arterial diseases, it is the superimposi-
tion of an arterial thrombus over an underlying ruptured or eroded
plaque that is responsible for the vast majority of acute ischemic
syndromes such as myocardial infarction or cerebrovascular acci-
dent 3–5. Cerebrovascular atherosclerosis, for example, is the
result of half of the stroke events including carotid plaques;
plaque rupture is a critical event in the evolution of atherosclero-
sis. Hence, it is crucial to determine whether a plaque is vulner-
able 6, and therefore life-threatening with the risk of stroke, or
resistant and innocuous. The ability to identify rupture-prone
high-risk plaques and to intervene successfully before acute
plaque rupture occurs has been an elusive goal of clinicians over
the past decades.
A series of postmortem observations in patients with acute is-
chemic syndromes revealed that predominant features of plaque
vulnerability include increased numbers of macrophages, in-
creased expression of tissue factor, reduced number of smooth
muscle cells, a lipid core that occupies a high proportion of the
overall plaque volume, and a thin fibrous cap see, e.g., Refs.
6–9. The rapid development in the area of arterial wall imaging
made the detection of the lipid core and the fibrous cap feasible. A
review of the invasive and noninvasive imaging modalities is
given in Ref. 10. High-resolution magnetic resonance imaging
represents the best promise of in vivo quantitative characterization
of plaque morphology 11–13, and appears to be a favorable
1
Corresponding author.
Contributed by the Bioengineering Division of ASME for publication in the JOUR-
NAL OF BIOMECHANICAL ENGINEERING. Manuscript received August 25, 2008; final
manuscript received February 19, 2009; accepted manuscript posted September 1,
2009; published online October 29, 2009. Editor: Michael Sacks.
Journal of Biomechanical Engineering DECEMBER 2009, Vol. 131 / 121002-1 Copyright © 2009 by ASME
Downloaded 31 Oct 2009 to 84.115.151.25. Redistribution subject to ASME license or copyright; see http://www.asme.org/terms/Terms_Use.cfm