On the influence of solid-liquid mass transfer in the modelling of drug release from stents

Sean McGinty, Giuseppe Pontrelli

Research output: Contribution to journal › Article

Abstract

In this paper we present a model of drug release from a drug eluting-stent and the subsequent drug transport in the arterial wall. In order to study the complete process, a two-phase mathematical model describing the transport of a drug between two coupled media of different properties and dimensions is presented. A system of partial differential equations describes both the solid-liquid transfer (dissolution) and diffusion processes in the polymeric substrate as well as diffusion, convection and reaction in the tissue layer. We adopt a semi-analytical approach in solving the four resulting equations. The model serves as a useful tool for providing insight into the influence of solid-liquid mass transfer in drug-eluting stent systems.
LanguageEnglish
Pages47-56
Number of pages13
JournalJournal of Coupled Systems and Multiscale Dynamics
Volume3
Issue number1
DOIs
Publication statusPublished - Apr 2015

Fingerprint

Stent
Mass Transfer
Drugs
Liquid
Modeling
Convection-diffusion
Dissolution
Reaction-diffusion
Systems of Partial Differential Equations
Diffusion Process
Substrate
Influence
Mathematical Model
Model

Keywords

  • drug-eluting stents
  • drug delivery
  • solid-liquid mass transfer
  • reaction-diffusion-convection equations
  • two-phase model
  • coupled partial differential equations

Cite this

McGinty, Sean ; Pontrelli, Giuseppe. / On the influence of solid-liquid mass transfer in the modelling of drug release from stents. In: Journal of Coupled Systems and Multiscale Dynamics. 2015 ; Vol. 3, No. 1. pp. 47-56.
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abstract = "In this paper we present a model of drug release from a drug eluting-stent and the subsequent drug transport in the arterial wall. In order to study the complete process, a two-phase mathematical model describing the transport of a drug between two coupled media of different properties and dimensions is presented. A system of partial differential equations describes both the solid-liquid transfer (dissolution) and diffusion processes in the polymeric substrate as well as diffusion, convection and reaction in the tissue layer. We adopt a semi-analytical approach in solving the four resulting equations. The model serves as a useful tool for providing insight into the influence of solid-liquid mass transfer in drug-eluting stent systems.",
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McGinty, S & Pontrelli, G 2015, 'On the influence of solid-liquid mass transfer in the modelling of drug release from stents' Journal of Coupled Systems and Multiscale Dynamics, vol. 3, no. 1, pp. 47-56. https://doi.org/10.1166/jcsmd.2015.1064

On the influence of solid-liquid mass transfer in the modelling of drug release from stents. / McGinty, Sean; Pontrelli, Giuseppe.

In: Journal of Coupled Systems and Multiscale Dynamics, Vol. 3, No. 1, 04.2015, p. 47-56.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On the influence of solid-liquid mass transfer in the modelling of drug release from stents

AU - McGinty, Sean

AU - Pontrelli, Giuseppe

PY - 2015/4

Y1 - 2015/4

N2 - In this paper we present a model of drug release from a drug eluting-stent and the subsequent drug transport in the arterial wall. In order to study the complete process, a two-phase mathematical model describing the transport of a drug between two coupled media of different properties and dimensions is presented. A system of partial differential equations describes both the solid-liquid transfer (dissolution) and diffusion processes in the polymeric substrate as well as diffusion, convection and reaction in the tissue layer. We adopt a semi-analytical approach in solving the four resulting equations. The model serves as a useful tool for providing insight into the influence of solid-liquid mass transfer in drug-eluting stent systems.

AB - In this paper we present a model of drug release from a drug eluting-stent and the subsequent drug transport in the arterial wall. In order to study the complete process, a two-phase mathematical model describing the transport of a drug between two coupled media of different properties and dimensions is presented. A system of partial differential equations describes both the solid-liquid transfer (dissolution) and diffusion processes in the polymeric substrate as well as diffusion, convection and reaction in the tissue layer. We adopt a semi-analytical approach in solving the four resulting equations. The model serves as a useful tool for providing insight into the influence of solid-liquid mass transfer in drug-eluting stent systems.

KW - drug-eluting stents

KW - drug delivery

KW - solid-liquid mass transfer

KW - reaction-diffusion-convection equations

KW - two-phase model

KW - coupled partial differential equations

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M3 - Article

VL - 3

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EP - 56

JO - Journal of Coupled Systems and Multiscale Dynamics

T2 - Journal of Coupled Systems and Multiscale Dynamics

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McGinty S, Pontrelli G. On the influence of solid-liquid mass transfer in the modelling of drug release from stents. Journal of Coupled Systems and Multiscale Dynamics. 2015 Apr;3(1):47-56. https://doi.org/10.1166/jcsmd.2015.1064

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