Mechanical action of the blood onto atheromatous plaques: influence of the stenosis shape and morphology

The vulnerability of atheromatous plaques in the carotid artery may be related to several factors, the most important being the degree of severity of the endoluminal stenosis and the thickness of the fibrous cap. It has recently been shown that the plaque length can also affect the mechanical response significantly. However, in their study on the effect of the plaque length, the authors did not consider the variations of the plaque morphology and the shape irregularities that may exist independently of the plaque length. These aspects are developed in this paper. The mechanical interactions between the blood flow and an atheromatous plaque are studied through a numerical model considering fluid–structure interaction. The simulation is achieved using the arbitrary Lagrangian–Eulerian scheme in the COMSOL TM commercial finite element package. The stenosis severity and the plaque length are, respectively, set to 45% and 15 mm. Different shapes of the stenosis are modelled, considering irregularities made of several bumps over the plaque. The resulting flow patterns, wall shear stresses, plaque deformations and stresses in the fibrous cap reveal that the effects of the blood flow are amplified if the slope upstream stenosis is steep or if the plaque morphology is irregular with bumps. More specifically, the maximum stress in the fibrous cap is 50% larger for a steep slope than for a gentle slope. These results offer new perspectives for considering the shape of plaques in the evaluation of the vulnerability.

[1]  F. Grosveld,et al.  Atherosclerotic Lesion Size and Vulnerability Are Determined by Patterns of Fluid Shear Stress , 2006, Circulation.

[2]  Michael L J Apuzzo Gravitas, Severitas, Veritas, Virtus. , 2006, Neurosurgery.

[3]  Y. Ueki,et al.  Plaque Vulnerability in Internal Carotid Arteries with Positive Remodeling , 2011, Cerebrovascular Diseases Extra.

[4]  Antheunis Versluis,et al.  Fatigue and plaque rupture in myocardial infarction. , 2006, Journal of biomechanics.

[5]  Fei Liu,et al.  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. , 2009, Molecular & cellular biomechanics : MCB.

[6]  Long Chen FINITE ELEMENT METHOD , 2013 .

[7]  D Saloner,et al.  Influence of stenosis morphology on flow through severely stenotic vessels: implications for plaque rupture. , 2000, Journal of biomechanics.

[8]  Takafumi Hiro,et al.  Localized elevation of shear stress is related to coronary plaque rupture: a 3-dimensional intravascular ultrasound study with in-vivo color mapping of shear stress distribution. , 2008, Journal of the American College of Cardiology.

[9]  T. Jensen,et al.  MRC European Carotid Surgery Trial: interim results for symptomatic patients with severe (70-99%) or with mild (0-29%) carotid stenosis. European Carotid Surgery Trialists' Collaborative Group , 1991 .

[10]  R. Ogden,et al.  A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models , 2000 .

[11]  Dalin Tang,et al.  Advanced human carotid plaque progression correlates positively with flow shear stress using follow-up scan data: an in vivo MRI multi-patient 3D FSI study. , 2010, Journal of biomechanics.

[12]  C. Yuan,et al.  Plaque Rupture in the Carotid Artery Is Localized at the High Shear Stress Region: A Case Report , 2007, Stroke.

[13]  김찬홍 COMSOL Multiphysics 3.3 , 2006 .

[14]  Shigeo Uchida,et al.  The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe , 1956 .

[15]  Dalin Tang,et al.  Simulating cyclic artery compression using a 3D unsteady model with fluid–structure interactions , 2002 .

[16]  Sophia Mã ¶ ller,et al.  Biomechanics — Mechanical properties of living tissue , 1982 .

[17]  J. P. Paul,et al.  Biomechanics , 1966 .

[18]  Dalin Tang,et al.  In Vivo/Ex Vivo MRI-Based 3D Non-Newtonian FSI Models for Human Atherosclerotic Plaques Compared with Fluid/Wall-Only Models. , 2007, Computer modeling in engineering & sciences : CMES.

[19]  C. Warlow,et al.  MRC European Carotid Surgery Trial: interim results for symptomatic patients with severe (70-99%) or with mild (0-29%) carotid stenosis , 1991, The Lancet.

[20]  Zhi-Yong Li,et al.  Assessment of carotid plaque vulnerability using structural and geometrical determinants. , 2008, Circulation journal : official journal of the Japanese Circulation Society.

[21]  M. Sato [Mechanical properties of living tissues]. , 1986, Iyo denshi to seitai kogaku. Japanese journal of medical electronics and biological engineering.

[22]  R N Vaishnav,et al.  Compressibility of the Arterial Wall , 1968, Circulation research.

[23]  Dalin Tang,et al.  3D critical plaque wall stress is a better predictor of carotid plaque rupture sites than flow shear stress: An in vivo MRI-based 3D FSI study. , 2010, Journal of biomechanical engineering.

[24]  Alvaro Valencia,et al.  Numerical simulation of fluid–structure interaction in stenotic arteries considering two layer nonlinear anisotropic structural model ☆ , 2009 .

[25]  S. Avril,et al.  Modelling of fluid–structure interactions in stenosed arteries: effect of plaque deformability , 2010 .

[26]  S. Cowin,et al.  Biomechanics: Mechanical Properties of Living Tissues, 2nd ed. , 1994 .

[27]  G. V. R. Born,et al.  INFLUENCE OF PLAQUE CONFIGURATION AND STRESS DISTRIBUTION ON FISSURING OF CORONARY ATHEROSCLEROTIC PLAQUES , 1989, The Lancet.

[28]  M. Matsuzaki,et al.  Longitudinal Structural Determinants of Atherosclerotic Plaque Vulnerability , 2016 .

[29]  K. Furie,et al.  Heart disease and stroke statistics--2007 update: a report from the American Heart Association Statistics Committee and Stroke Statistics Subcommittee. , 2008, Circulation.

[30]  J. Humphrey,et al.  Characterization of arterial wall mechanical behavior and stresses from human clinical data. , 2008, Journal of biomechanics.

[31]  Hao Gao,et al.  Effects of varied lipid core volume and fibrous cap thickness on stress distribution in carotid arterial plaques. , 2008, Journal of biomechanics.

[32]  S. Christopher,et al.  Extracranial Carotid Plaque Length and Parent Vessel Diameter Significantly Affect Baseline Ipsilateral Intracranial Blood Flow , 2011, Neurosurgery.

[33]  Gerhard A. Holzapfel,et al.  Modeling Plaque Fissuring and Dissection during Balloon Angioplasty Intervention , 2007, Annals of Biomedical Engineering.

[34]  Stéphane Avril,et al.  In vivo measurements of blood viscosity and wall stiffness in the carotid using PC-MRI , 2009 .

[35]  Erling Falk,et al.  Mechanical stresses in carotid plaques using MRI-based fluid-structure interaction models. , 2008, Journal of biomechanics.

[36]  Zhi-Yong Li,et al.  Simulation of the Interaction between Blood Flow and Atherosclerotic Plaque , 2007, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[37]  D. Sackett,et al.  Beneficial effect of carotid endarterectomy in symptomatic patients with high-grade carotid stenosis. , 1991, The New England journal of medicine.

[38]  R. Banerjee,et al.  Influence of arterial wall compliance on the pressure drop across coronary artery stenoses under hyperemic flow condition. , 2011, Molecular & cellular biomechanics : MCB.

[39]  Jonathan H. Gillard,et al.  How Critical Is Fibrous Cap Thickness to Carotid Plaque Stability?: A Flow–Plaque Interaction Model , 2006, Stroke.

[40]  Y. Fung,et al.  Classical and Computational Solid Mechanics , 2001 .

[41]  A. Buchan,et al.  *North American Symptomatic Carotid Endarterectomy Trial (NASCET) Steering Committee. Beneficial Effect of Carotid Endarterectomy in Symptomatic Patients with High-Grade Carotid Stenosis. , 1991 .

[42]  M. Wintermark,et al.  Carotid Atheroma Rupture Observed In Vivo and FSI-Predicted Stress Distribution Based on Pre-rupture Imaging , 2010, Annals of Biomedical Engineering.

[43]  Jie Zheng,et al.  Effect of Stenosis Asymmetry on Blood Flow and Artery Compression: A Three-Dimensional Fluid-Structure Interaction Model , 2003, Annals of Biomedical Engineering.

[44]  Alfio Quarteroni,et al.  Cardiovascular mathematics : modeling and simulation of the circulatory system , 2009 .

[45]  Takafumi Hiro,et al.  Longitudinal structural determinants of atherosclerotic plaque vulnerability: a computational analysis of stress distribution using vessel models and three-dimensional intravascular ultrasound imaging. , 2005, Journal of the American College of Cardiology.

[46]  Jacques Ohayon,et al.  Necrotic core thickness and positive arterial remodeling index: emergent biomechanical factors for evaluating the risk of plaque rupture. , 2008, American journal of physiology. Heart and circulatory physiology.

[47]  P. Hoskins,et al.  Numerical analysis of pulsatile blood flow and vessel wall mechanics in different degrees of stenoses. , 2007, Journal of biomechanics.