Modelling peeling- and pressure-driven propagation of arterial dissection

Wang, L., Hill, N. A. , Roper, S. M. and Luo, X. (2017) Modelling peeling- and pressure-driven propagation of arterial dissection. Journal of Engineering Mathematics, (doi:10.1007/s10665-017-9948-0) (Early Online Publication)

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Abstract

An arterial dissection is a longitudinal tear in the vessel wall, which can create a false lumen for blood flow and may propagate quickly, leading to death. We employ a computational model for a dissection using the extended finite element method with a cohesive traction-separation law for the tear faces. The arterial wall is described by the anisotropic hyperelastic Holzapfel–Gasser–Ogden material model that accounts for collagen fibres and ground matrix, while the evolution of damage is governed by a linear cohesive traction-separation law. We simulate propagation in both peeling and pressure-loading tests. For peeling tests, we consider strips and discs cut from the arterial wall. Propagation is found to occur preferentially along the material axes with the greatest stiffness, which are determined by the fibre orientation. In the case of pressure-driven propagation, we examine a cylindrical model, with an initial tear in the shape of an arc. Long and shallow dissections lead to buckling of the inner wall between the true lumen and the dissection. The various buckling configurations closely match those seen in clinical CT scans. Our results also indicate that a deeper tear is more likely to propagate.

Item Type:Articles
Status:Early Online Publication
Refereed:Yes
Glasgow Author(s) Enlighten ID:Roper, Dr Steven and Luo, Professor Xiaoyu and Hill, Professor Nicholas
Authors: Wang, L., Hill, N. A., Roper, S. M., and Luo, X.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Engineering Mathematics
Publisher:Springer
ISSN:0022-0833
ISSN (Online):1573-2703
Published Online:13 December 2017
Copyright Holders:Copyright © 2017 The Authors
First Published:First published in Journal of Engineering Mathematics 2017
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
694461EPSRC Centre for Multiscale soft tissue mechanics with application to heart & cancerRaymond OgdenEngineering and Physical Sciences Research Council (EPSRC)EP/N014642/1M&S - MATHEMATICS
689601The first fully coupled mitral valve - left ventricle computational modelXiaoyu LuoLeverhulme Trust (LEVERHUL)RF-2015-510M&S - MATHEMATICS