Drug delivery in biological tissues: a two-layer reaction-diffusion-convection model

Giuseppe Pontrelli, Sean McGinty

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In this paper we present a general model of drug release from a drug delivery device and the subsequent drug transport in biological tissue. 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 and diffusion processes in the polymeric substrate as well as diffusion, convection and reaction in the tissue layer. The model serves as a useful tool for providing insight into the concurrent effects of the diffusion, convection, solid-liquid transfer and reaction parameters in drug delivery systems.
Original languageEnglish
Number of pages8
Publication statusPublished - 10 Jun 2014
Event18th European Conference on Mathematics for Industry 2014 - Taormina, Italy
Duration: 9 Jun 201413 Jun 2014


Conference18th European Conference on Mathematics for Industry 2014


  • drug delivery
  • biological tissues
  • two-layer reaction-diffusion-convection model
  • drug release
  • drug transport
  • two-phase mathematical model
  • solid-liquid transfer
  • diffusion processes
  • reaction parameters

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