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Smooth contact strategies with emphasis on the modeling of balloon angioplasty with stenting
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
2008 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 75, no 7, 826-855 p.Article in journal (Refereed) Published
Abstract [en]

Critical to the simulation of balloon angioplasty is the modeling of the contact between the artery wall and the medical devices. In standard approaches, the 3D contact surfaces are described by means of C0-continuous facet-based techniques, which may lead to numerical problems. This work introduces a novel contact algorithm where the target surfaces are described by polynomial expressions with C2-continuity. On the basis of uniform cubic B-splines, two different parametrization techniques are presented and compared, while the related implementation of the algorithm into a finite element analysis program is described. Two numerical examples are selected to demonstrate the special merits of the proposed contact formulation. The first example is a benchmark contact problem selected to point out the special features of the proposed strategies. The second example is concerned with the simulation of balloon angioplasty and stenting, where the contact between the balloon, the stent and the artery wall is numerically modeled. A patient-specific 3D model of a stenotic femoral artery serves as a basis. The study concludes by identifying the changes in the mechanical environment of the artery in terms of contact forces and strains by considering two different stent designs.

Place, publisher, year, edition, pages
2008. Vol. 75, no 7, 826-855 p.
Keyword [en]
B-spline, Balloon angioplasty, Contact mechanics, Smooth surfaces, Stent
National Category
Industrial Biotechnology
Identifiers
URN: urn:nbn:se:kth:diva-6726DOI: 10.1002/nme.2277ISI: 000258874000005Scopus ID: 2-s2.0-50449090551OAI: oai:DiVA.org:kth-6726DiVA: diva2:11517
Note
QC 20101118. Uppdaterad från Manuskript till Artikel (20101118).Available from: 2007-01-11 Created: 2007-01-11 Last updated: 2017-12-14Bibliographically approved
In thesis
1. Computer Aided Angioplasty: Patient-specific arterial modeling and smooth 3D contact analysis of the stent-balloon-artery interaction
Open this publication in new window or tab >>Computer Aided Angioplasty: Patient-specific arterial modeling and smooth 3D contact analysis of the stent-balloon-artery interaction
2006 (English)Licentiate thesis, comprehensive summary (Other scientific)
Abstract [en]

Paper A: In this paper, the development and implementation of a contact algorithm based on C2-continuous surface representations is discussed. In 3D contact simulations involving models with arbitrarily curved surfaces (as in the case of vessel walls), the discretization of the contact surfaces by means of facet-based techniques could lead to numerical instabilities and finally loss of quadratic convergence. These instabilities arise mainly due to the sliding of contractor (slave) nodes over the boundaries of target (master) contact facets, where jumps of the normal vector are experienced. The paper addresses successfully this problem, by discretization of the target surfaces by means of C2-continuous parameterization schemes. Initially, the uniform cubic B-spline surfaces are introduced. Next, in an attempt for more accurate representations of the geometric models of the contact surfaces, a new parameterization based on the expression of cubic B-splines is developed. The two approaches are implemented into a finite element framework and more specifically, into the multipurpose finite element analysis program FEAP. The special merits of the developed algorithms and the advantages of the smooth surfaces over facet-based approaches are exhibited through a classical contact mechanics problem, considering incompressibility, finite deformations and large slidings. Next, a simulation of balloon angioplasty with stenting is presented, where the contact between both medical devices (balloon and stent) with the arterial wall is modeled. The arterial wall is modeled in this first approach, as hyperelastic, homogeneous, isotropic, while a cylindrically orthotropic model is developed to capture the nonlinear, anisotropic behavior of the balloon catheter under pressure. Two stents with the same geometry but different strut thickness, are studied. Both are considered elasto-plastic. The performed simulations point out the outcome of the balloon angioplasty and stenting in terms of luminal gain and mechanical strains. Finally, a comparison between the two stent configurations is presented.

Paper B: The second paper makes use of the contact tool developed in Paper A and focuses on the changes of the mechanical environment of the arterial wall due to stenting, as a function of a set of stent design parameters. In particular, Paper B presents a detailed geometric and material model of a postmortem human iliac artery, composed by distinct tissue components, each associated with specific mechanical properties. The constitutive formulation for the artery considers anisotropic, highly nonlinear mechanical characteristics under supraphysiological loadings. The material and structural parameters of the arterial model are obtained through uniaxial tensile tests on stripes extracted from the several arterial tissues that form the stenosis, axially and circumferentially oriented. Through cooperation with a well-established stent manufacturing company, an iliac stent was acquired. The dimensions of the stent are measured under a reflected-light microscope, while it is parameterized in such a way as to enable new designs to be simply generated through variations of its geometric parameters. The 3D balloon-stent-artery interaction is simulated by making use of the smooth contact surfaces with C2-continuity, as previously mentioned. Next, scalar quantities attempt to characterize the arterial wall changes after stenting, in form of contact forces induced by the stent struts, stresses within the individual components and luminal change. These numerically derived quantities allow the determination of the most appropriate stent configuration for an individual stenosis. Therefore, the proposed methodology has the potential to provide a scientific basis for optimizing treatment procedures, stent material and geometries on a patient-specific level.

Place, publisher, year, edition, pages
Stockholm: KTH, 2006. 18 p.
Series
Trita-HFL. Report / Royal Institute of Technology, Solid Mechanics, ISSN 1654-1472 ; 0428
Keyword
Contact, continuous surfaces, B-splines, balloon angioplasty, stenting, FEM
National Category
Industrial Biotechnology
Identifiers
urn:nbn:se:kth:diva-4263 (URN)
Presentation
2007-01-26, 2, D, Lindstedtsvägen 5, KTH, Stockholm, 10:15
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Note

QC 20101118

Available from: 2007-01-11 Created: 2007-01-11 Last updated: 2013-01-15Bibliographically approved

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