Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: cell proliferation

Adam Peddle; William Lee; Toui Vo

doi:10.3934/mbe.2018050

Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: cell proliferation

Adam Peddle
, William Lee
, Toui Vo

Research output: Contribution to journal › Article › peer-review

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Abstract

The aim of a drug eluting stent is to prevent restenosis of arteries following percutaneous balloon angioplasty. A long term goal of research in this area is to use modelling to optimise the design of these stents to maximise their efficiency. A key obstacle to implementing this is the lack of a mathematical model of the biology of restenosis. Here we investigate whether mathematical models of cancer biology can be adapted to model the biology of restenosis and the effect of drug elution. We show that relatively simple, rate kinetic models give a good description of available data of restenosis in animal experiments, and its modification by drug elution.

Original language	English
Pages (from-to)	1117-1135
Number of pages	19
Journal	Mathematical Biosciences and Engineering
Volume	15
Issue number	5
DOIs	https://doi.org/10.3934/mbe.2018050
Publication status	Published - 22 May 2018

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This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

drug-eluting stents
drug delivery
cell proliferation
mathematical modelling
parameter estimation

Access to Document

10.3934/mbe.2018050

1551-0018_2018_5_1117
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mathematical Biosciences and Engineering following peer review. The definitive publisher-authenticated version Adam Peddle, William Lee, Tuoi Vo, ' Modelling chemistry and biology after implantation of a drug-eluting sent. Part II: cell proliferation.' Mathematical Biosciences and Engineering, October 2018, 15(5): 1117-1135, is available online at DOI: 10.3934/mbe.2018050.
Accepted author manuscript (Post-print), 478 KB

Cite this

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KW - drug delivery

KW - cell proliferation

KW - mathematical modelling

KW - parameter estimation

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Modelling chemistry and biology after implantation of a drug-eluting stent. Part Ⅱ: cell proliferation

Abstract

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Keywords

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