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Review
. 2012:2012:820389.
doi: 10.1155/2012/820389. Epub 2012 Sep 6.

A literature review of the numerical analysis of abdominal aortic aneurysms treated with endovascular stent grafts

David Roy  1 , Claude Kauffmann, Sébastien Delorme, Sophie Lerouge, Guy Cloutier, Gilles Soulez
Affiliations
Review

A literature review of the numerical analysis of abdominal aortic aneurysms treated with endovascular stent grafts

David Roy et al. Comput Math Methods Med. 2012.

Abstract

The purpose of this paper is to present the basic principles and relevant advances in the computational modeling of abdominal aortic aneurysms and endovascular aneurysm repair, providing the community with up-to-date state of the art in terms of numerical analysis and biomechanics. Frameworks describing the mechanical behavior of the aortic wall already exist. However, intraluminal thrombus nonhomogeneous structure and porosity still need to be well characterized. Also, although the morphology and mechanical properties of calcifications have been investigated, their effects on wall stresses remain controversial. Computational fluid dynamics usually assumes a rigid artery wall, whereas fluid-structure interaction accounts for artery compliance but is still challenging since arteries and blood have similar densities. We discuss alternatives to fluid-structure interaction based on dynamic medical images that address patient-specific hemodynamics and geometries. We describe initial stresses, elastic boundary conditions, and statistical strength for rupture risk assessment. Special emphasis is accorded to workflow development, from the conversion of medical images into finite element models, to the simulation of catheter-aorta interactions and stent-graft deployment. Our purpose is also to elaborate the key ingredients leading to virtual stenting and endovascular repair planning that could improve the procedure and stent-grafts.

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Figures

Figure 1
Figure 1
Stiffness definition.
Figure 2
Figure 2
Multiaxial loading.
Figure 3
Figure 3
Yield and ultimate stresses.
Figure 4
Figure 4
Poisson's effect.
Figure 5
Figure 5
Shear stress.
Figure 6
Figure 6
Flow shear stress.
Figure 7
Figure 7
Laminar and disturbed flows.
Figure 8
Figure 8
(a) Windkessel effect. (b) Cont'd Windkessel effect.
Figure 9
Figure 9
Laplace's law.
Figure 10
Figure 10
AAA stiffness [28].
Figure 11
Figure 11
Recruitment of collagen fibers [28].
Figure 12
Figure 12
Arterial wall constitutive layers [30].
Figure 13
Figure 13
Backward incremental method.
Figure 14
Figure 14
Stretched plate with hole.
Figure 15
Figure 15
Viscoelasticity.
Figure 16
Figure 16
Definition of friction and drag forces.
See this image and copyright information in PMC

References

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    1. Yu FTH, Armstrong JK, Tripette J, Meiselman HJ, Cloutier G. A local increase in red blood cell aggregation can trigger deep vein thrombosis: evidence based on quantitative cellular ultrasound imaging. Journal of Thrombosis and Haemostasis. 2011;9(3):481–488. - PMC - PubMed

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