Peer-Reviewed Journal Details
Mandatory Fields
Tuoi Vo, William Lee, Adam Peddle, Martin Meere
2017
April
Mathematical Biosciences and Engineering
Modelling chemistry and biology after implantation of a drug eluting stent. Part I: Drug Transport
In Press
()
Optional Fields
Drug-eluting stents, drug delivery, mathematical modelling, parameter estimation, diffusion.
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2
491
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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.
https://aimsciences.org/journals/pdfs.jsp?paperID=13096&mode=full
doi:10.3934/mbe.2017030
Grant Details
Science Foundation Ireland (SFI) Investigator Award 12/IA/1683
Publication Themes
Biomedical Science and Engineering, Informatics, Physical and Computational Sciences