Modelling volumetric growth in a thick walled fibre reinforced artery

Eriksson, T.S.E., Watton, P.N. , Luo, X.Y. and Ventikos, Y. (2014) Modelling volumetric growth in a thick walled fibre reinforced artery. Journal of the Mechanics and Physics of Solids, 73, pp. 134-150. (doi: 10.1016/j.jmps.2014.09.003)

Abstract

A novel framework for simulating growth and remodelling (G&R) of a fibre-reinforced artery, including volumetric adaption, is proposed. We show how to implement this model into a finite element framework and propose and examine two underlying assumptions for modelling growth, namely constant individual density (CID) or adaptive individual density (AID). Moreover, we formulate a novel approach which utilises a combination of both AID and CID to simulate volumetric G&R for a tissue comprised of several different constituents. We consider a special case of the G&R of an artery subjected to prescribed elastin degradation and we theorise on the assumptions and suitability of CID, AID and the mixed approach for modelling arterial biology. For simulating the volumetric changes that occur during aneurysm enlargement, we observe that it is advantageous to describe the growth of collagen using CID whilst it is preferable to model the atrophy of elastin using AID.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Luo, Professor Xiaoyu and Watton, Dr Paul and Eriksson, Dr Thomas
• Authors: Eriksson, T.S.E., Watton, P.N., Luo, X.Y., and Ventikos, Y.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of the Mechanics and Physics of Solids
• Publisher: Elsevier
• ISSN: 0022-5096
• Copyright Holders: Copyright © 2014 The Authors
• First Published: First published in Journal of the Mechanics and Physics of Solids 73:134-150
• Publisher Policy: Reproduced under a Creative Commons License