Mathematical modelling of the restenosis process after stent implantation

Escuer, J., Martinez, M. A., McGinty, S. and Pena, E. (2019) Mathematical modelling of the restenosis process after stent implantation. Journal of the Royal Society: Interface, 16(157), 20190313. (doi:10.1098/rsif.2019.0313) (PMID:31409233)

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Abstract

The stenting procedure has evolved to become a highly successful technique for the clinical treatment of advanced atherosclerotic lesions in arteries. However, the development of in-stent restenosis remains a key problem. In this work, a novel two-dimensional continuum mathematical model is proposed to describe the complex restenosis process following the insertion of a stent into a coronary artery. The biological species considered to play a key role in restenosis development are growth factors, matrix metalloproteinases, extracellular matrix, smooth muscle cells and endothelial cells. Diffusion–reaction equations are used for modelling the mass balance between species in the arterial wall. Experimental data from the literature have been used in order to estimate model parameters. Moreover, a sensitivity analysis has been performed to study the impact of varying the parameters of the model on the evolution of the biological species. The results demonstrate that this computational model qualitatively captures the key characteristics of the lesion growth and the healing process within an artery subjected to non-physiological mechanical forces. Our results suggest that the arterial wall response is driven by the damage area, smooth muscle cell proliferation and the collagen turnover among other factors.

Item Type:Articles
Additional Information:The authors gratefully acknowledge funding provided by the Spanish Ministry of Economy, Industry and Competitiveness under research project number DPI2016-76630-C2- 1-R and grant number BES-2014-069737.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Mcginty, Dr Sean and Escuer Gracia, Javier
Authors: Escuer, J., Martinez, M. A., McGinty, S., and Pena, E.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
Journal Name:Journal of the Royal Society: Interface
Publisher:The Royal Society
ISSN:1742-5689
ISSN (Online):1742-5662
Published Online:14 August 2019

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