Modelling the influence of endothelial heterogeneity on the progression of arterial disease: application to abdominal aortic aneurysm evolution

Aparício, P., Mandaltsi, A., Boamah, J., Chen, H., Selimovic, A., Bratby, M., Uberoi, R., Ventikos, Y. and Watton, P.N. (2014) Modelling the influence of endothelial heterogeneity on the progression of arterial disease: application to abdominal aortic aneurysm evolution. International Journal for Numerical Methods in Biomedical Engineering, 30(5), pp. 563-586. (doi: 10.1002/cnm.2620) (PMID:24424963)

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Abstract

We sophisticate a fluid–solid growth computational framework for modelling aneurysm evolution. A realistic structural model of the arterial wall is integrated into a patient-specific geometry of the vasculature. This enables physiologically representative distributions of haemodynamic stimuli, obtained from a rigid-wall computational fluid dynamics analysis, to be linked to growth and remodelling algorithms. Additionally, a quasistatic structural analysis quantifies the cyclic deformation of the arterial wall so that collagen growth and remodelling can be explicitly linked to the cyclic deformation of vascular cells. To simulate aneurysm evolution, degradation of elastin is driven by reductions in wall shear stress (WSS) below homeostatic thresholds. Given that the endothelium exhibits spatial and temporal heterogeneity, we propose a novel approach to define the homeostatic WSS thresholds: We allow them to be spatially and temporally heterogeneous. We illustrate the application of this novel fluid–solid growth framework to model abdominal aortic aneurysm (AAA) evolution and to examine how the influence of the definition of the WSS homeostatic threshold influences AAA progression. We conclude that improved understanding and modelling of the endothelial heterogeneity is important for modelling aneurysm evolution and, more generally, other vascular diseases where haemodynamic stimuli play an important role.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Watton, Dr Paul
Authors: Aparício, P., Mandaltsi, A., Boamah, J., Chen, H., Selimovic, A., Bratby, M., Uberoi, R., Ventikos, Y., and Watton, P.N.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal for Numerical Methods in Biomedical Engineering
Publisher:Wiley
ISSN:2040-7939
ISSN (Online):2040-7947
Published Online:14 January 2014

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