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 journalArticle

4 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
Externally publishedYes

Fingerprint

Stent
Stents
Pharmacokinetics
Atherosclerotic Plaques
pharmacokinetics
Drugs
drugs
Drug-Eluting Stents
Porosity
Optical tomography
Optical Coherence Tomography
Pharmaceutical Preparations
Partial differential equations
Theoretical Models
tomography
Stiffness
Systems of Partial Differential Equations
Mathematical models
Coatings
Coupled System

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Medicine(all)
  • Modelling and Simulation
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

The influence of atherosclerotic plaques on the pharmacokinetics of a drug eluted from bioabsorbable stents. / Ferreira, José A.; Gonçalves, Lino; Naghipoor, Jahed; de Oliveira, Paula; Rabczuk, Timon.

In: Mathematical Biosciences, Vol. 283, 01.01.2017, p. 71-83.

Research output: Contribution to journalArticle

Ferreira, José A. ; Gonçalves, Lino ; Naghipoor, Jahed ; de Oliveira, Paula ; Rabczuk, Timon. / The influence of atherosclerotic plaques on the pharmacokinetics of a drug eluted from bioabsorbable stents. In: Mathematical Biosciences. 2017 ; Vol. 283. pp. 71-83.
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