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Three representative stents. Top: Palmaz–Schatz (PS) stent. Middle: Express stent. Bottom: Multilink–Vision stent. 

Three representative stents. Top: Palmaz–Schatz (PS) stent. Middle: Express stent. Bottom: Multilink–Vision stent. 

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The goal of this work is to quantitatively assess the relationship between the reported restenosis rates and stent induced arterial stress or strain parameters through finite element method. The impact of three stent designs (Palmaz–Schatz stent, Express stent, and Multilink Vision stent) on the arterial stress distributions were characterized. The...

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... implantation is one of the most common minimally invasive treat- ments for opening the obstructed coronary artery. The increase in the popu- larity of stenting as a primary treatment and extension of stenting techniques to more complex lesion types has prompted innovative and competitive stent designs [Oesterle et al. , 1998; Colombo et al. , 2002;Mackerle, 2005]. A stent is a mesh structure used to restore the patency in stenosed arteries and provide a permanent scaffold for arterial walls. The permanent implanted stent subjects the artery to abnormal stresses which may lead to the occurrence of in-stent re- stenosis, a major complication of stenting [Oesterle et al. , 1998]. Clinical trials have reported various restenosis rates on different stent designs [Becker, 1991; Oesterle et al. , 1998; Schwartz et al. , 1999; Squire et al. , 1999; Kastrati et al. , 2000; Palmaz, 2002; Steinman et al. , 2003]. Morton has performed a clinical review on the impact of a plethora of physical stent parameters, such as the stent length, diameter, percent metal coverage, strut density, strut thickness, surface quality, cross-section shape, symmetry of deployment, and stent material [Morton et al. , 2004]. It is speculated that considerable strain on the vessel wall imposed by the stent or the balloon of the catheter on the endothelium have caused the produc- tion of smooth muscle cell abundance and fibroblast growth factors, which led to the restenosis. Understanding the impact of mechanical factors on the arte- rial injury is essential to develop strategies to prevent and treat a major source of stent failure like restenosis. Finite element analysis has been proven to be a useful and efficient tool for the study of stent expansion, the interaction between the stent and catheter bal- loon, and stent-plaque-artery interactions. Cui et al. studied the influence of bal- loon length and compliance on the mechanical behaviors of expanded stent, such as foreshortening, dogboning and stent recoil [Cui et al. , 2010]. De Beule has sum- marized the computational modeling of balloon-expandable stents, which did not include the interaction between the stent and balloon [De Beule, 2009]. Au- ricchio et al. studied the biomechanical interaction between a stent and a stenosed artery [Auricchio et al. , 2001]. Wang et al. examined the stresses in the artery wall near the ends of the stent [Wang et al. , 2006]. Bedoya et al. suggested that stents with small strut spacing (the link between two struts), zero radius of curvature at the end of links will cause high stresses over larger areas of the artery [Bedoya et al. , 2006]. According to the best available data, the effects of friction and stent de- ployment location have not been reported in the numerical studies. Quantitative correlation between arterial stress parameters with the occurrence of in-stent re- stenosis is also lacking. In this work, stress distributions on the arterial wall was determined and the clinical implications associated with stenting was investigated by testing the hy- pothesis that different stent designs will provoke different level of stress con- centration in the artery, which are correlated with the occurrence rate of in- stent restenosis. Three commercially available balloon expandable stent designs (Palmaz–Schatz stent, Express stent, and Multilink–Vision stent) were modeled to compare mechanical characteristics of stented arteries using the commercial software ABAQUS (Dassault Syst`emes Simulia Corp., Providence, RI, USA). The impact of friction between stent and tissue was evaluated. The stent deployment location inside the lumen was investigated to estimate the influence of the clini- cal operator. Three stages of plaques (Cellular, Hypo-cellular, and Calcified) were also used to assess the significance of the material properties. A segment of proximal left anterior descending coronary artery (LAD) before the origin of the first septal branch is studied, which is represented by a straight cylinder with a 3mm lumen diameter and a length of 26mm. The thickness of the artery is assumed as 1/4th of the lumen, i.e., 0.75mm. The asymmetric plaque has a parabolic longitudinal profile (Figure 1). An edge ratio of 2:1 at the narrowest lumen leads to a remaining lumen diameter of 50% of the reference lumen, which is referred to as 50% stenosis. The longitudi- nal length of the plaque is 13 mm. Both the plaque and artery are expanded to the reference lumen size of 3 mm by three types of stents (Figure 2). The physical pa- rameters and restenosis rates for these stents are summarized in Table 1. The metallic stents are modeled as perfect linear elastic-plastic materials. The material properties for 316LN stainless steel are as follows: Young’s modulus E = 190GPa; Poisson ratio ν = 0 . 3; Yield stress σ Y = 207 MPa; Limit stress σ M = 515 MPa; Limit nominal strain ε M = 60%. The plastic behavior of stents is modeled assuming isotropic hardening, which was validated by Auricchio et al. [2001]. The material properties for L605 Cobalt Chromium alloy are as follows: Young’s modulus E = 243 GPa; Poisson ratio ν = 0 . 3; Yield stress σ Y = 500 MPa; Limit stress σ M = 1000 MPa [Poncin et al. , 2004]. Both artery and plaque are defined by a hyperelastic isotropic constitutive model. The 3rd-order polynomial form of the strain energy density function U is used in this ...

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... The mechanical behavior of a stent under various loading conditions, such as tensile, compression, bending, and crushing, plays a vital role in the functionality of the stent, including structural support, blood flow adjustments, drug delivery efficiency improvement, and so forth. The ideal stent would be one that can reopen narrowed vessels with large radius expanding deformation, have high radial strength [5] for good arterial support post-expansion, adequate flexibility [10], biocompatibility, biodegradability, cause minimal injury to the artery in an expanded state, and result in a small amount of axial recoil for minimal shear damage [11,12]. Additionally, there is inevitably a trade-off between radial strength and bending flexibility in stent design [10]. ...
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... A patch-conforming method was used to generate the mesh with an average mesh density of 200,000 elements after sensitivity testing. L-605 Cobalt-Chromium was used as the material, with a Young's modulus of 243 GPa, density of 9100 kg∕m 3 , tensile strength of 1000 MPa and yield stress of 500 MPa (Gu et al., 2012). ...
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