Modelling chemistry and biology after implantation of a drug-eluting stent. Part I

Drug transport

Tuoi Vo, William Lee, Adam Peddle, Martin Meere

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Drug-eluting stents have been used widely to prevent restenosis of arteries following percutaneous balloon angioplasty. Mathematical modelling plays an important role in optimising the design of these stents to maximise their efficiency. When designing a drug-eluting stent system, we expect to have a sufficient amount of drug being released into the artery wall for a sufficient period to prevent restenosis. In this paper, a simple model is considered to provide an elementary description of drug release into artery tissue from an implanted stent. From the model, we identified a parameter regime to optimise the system when preparing the polymer coating. The model provides some useful order of magnitude estimates for the key quantities of interest. From the model, we can identify the time scales over which the drug traverses the artery wall and empties from the polymer coating, as well as obtain approximate formulae for the total amount of drug in the artery tissue and the fraction of drug that has released from the polymer. The model was evaluated by comparing to in-vivo experimental data and good agreement was found.

Original languageEnglish
Pages (from-to)491-509
Number of pages19
JournalMathematical Biosciences and Engineering
Volume14
Issue number2
DOIs
Publication statusPublished - 1 Apr 2017
Externally publishedYes

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drug implants
Stent
Drug-Eluting Stents
Stents
Implantation
Chemistry
Biology
Drugs
chemistry
Arteries
arteries
Biological Sciences
drugs
Polymers
Modeling
Pharmaceutical Preparations
Restenosis
polymers
Tissue
coatings

Cite this

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title = "Modelling chemistry and biology after implantation of a drug-eluting stent. Part I: Drug transport",
abstract = "Drug-eluting stents have been used widely to prevent restenosis of arteries following percutaneous balloon angioplasty. Mathematical modelling plays an important role in optimising the design of these stents to maximise their efficiency. When designing a drug-eluting stent system, we expect to have a sufficient amount of drug being released into the artery wall for a sufficient period to prevent restenosis. In this paper, a simple model is considered to provide an elementary description of drug release into artery tissue from an implanted stent. From the model, we identified a parameter regime to optimise the system when preparing the polymer coating. The model provides some useful order of magnitude estimates for the key quantities of interest. From the model, we can identify the time scales over which the drug traverses the artery wall and empties from the polymer coating, as well as obtain approximate formulae for the total amount of drug in the artery tissue and the fraction of drug that has released from the polymer. The model was evaluated by comparing to in-vivo experimental data and good agreement was found.",
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Modelling chemistry and biology after implantation of a drug-eluting stent. Part I : Drug transport. / Vo, Tuoi; Lee, William; Peddle, Adam; Meere, Martin.

In: Mathematical Biosciences and Engineering, Vol. 14, No. 2, 01.04.2017, p. 491-509.

Research output: Contribution to journalArticle

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