The influence of atherosclerotic plaques on the pharmacokinetics of a drug eluted from bioabsorbable stents

José A. Ferreira, Lino Gonçalves, Jahed Naghipoor, Paula de Oliveira, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

In this paper the effect of plaque composition, on the accumulation of drug released by a drug eluting stent, is analyzed. The mathematical model is represented by two coupled systems of partial differential equations that describe the pharmacokinetics of drug in the stent coating and in the arterial wall. The influence of the stiffness and porosity of soft and hard plaques is studied. A case study based on optical coherence tomography images is also included.

Original languageEnglish
Pages (from-to)71-83
Number of pages13
JournalMathematical Biosciences
Volume283
DOIs
Publication statusPublished - 2017 Jan 1

Bibliographical note

Funding Information:
This work is supported by Alexander von Humboldt Foundation (AvH) under the Georg Forster Research Fellowship (HERMES), hosted at Institute of Structural Mechanics (ISM), Bauhaus-Universität Weimar and partially supported by the Center for Mathematics of the University of Coimbra - UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020.

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

  • Atherosclerotic plaque
  • Drug eluting stent
  • Numerical simulation
  • Porosity

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • General Biochemistry,Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics

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