TY - JOUR
T1 - Modelling volumetric growth in a thick walled fibre reinforced artery
AU - Eriksson, T. S.E.
AU - Watton, P. N.
AU - Luo, X. Y.
AU - Ventikos, Y.
N1 - Funding Information:
T.S.E.E., P.N.W. and Y.V. would like to acknowledge the Wellcome Trust/EPSRC, Centre of Excellence in Personalised Healthcare , (Grant number WT 088877/Z/09/Z ) for support. T.S.E.E. and X.Y.L. would also like to acknowledge the EPSRC ISG (Grant number EP/K503514/1 ) for support.
Publisher Copyright:
© 2014 The AuthorsPublished by Elsevier Ltd. This is an open access article under the CC BY license.
PY - 2014/12/15
Y1 - 2014/12/15
N2 - 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 composed 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.
AB - 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 composed 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.
KW - Anisotropic material
KW - Biological material
KW - Constitutive behaviour
KW - Fiber-reinforced composite material
KW - Finite elements
UR - http://www.scopus.com/inward/record.url?scp=84908162859&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2014.09.003
DO - 10.1016/j.jmps.2014.09.003
M3 - Article
AN - SCOPUS:84908162859
SN - 0022-5096
VL - 73
SP - 134
EP - 150
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
ER -