A numerical framework for drug transport in a multi-layer system with discontinuous interlayer condition

Kristinn Gudnason*, Sven Sigurdsson, Bergthora S. Snorradottir, Mar Masson, Fjola Jonsdottir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


Discontinuous boundary conditions arise naturally when describing various physical phenomena and numerically modelling such conditions can prove difficult. In the field of pharmaceutical sciences, two such cases are the partitioning of a compound between different materials and a flux rate membrane controlling mass transfer between materials which both result in a discontinuous jump in concentration across adjacent materials. In this study, we introduce a general one-dimensional finite element drug delivery framework, which along with diffusion, reversible binding and dissolution within material layers, incorporates the partitioning and mass transfer conditions between layers of material. We apply the framework to construct models of experiments, which along with experimental data, allow us to infer pharmacokinetic properties of potential material for drug delivery. Understanding such material properties is the key to optimising the therepeutic effect of a targeted drug delivery system.

Original languageEnglish
Pages (from-to)11-23
Number of pages13
JournalMathematical Biosciences
Publication statusPublished - Jan 2018

Bibliographical note

Funding Information:
We thank financial support from the Technical Development Fund of Rannís (grant no. 13-1309) as part of jointly funded European M-Era-Net project SurfLenses (M-ERA.NET/0005/2012). We would like to thank Dimitriya Bozukova and PhysIOL [20] for supplying the intraocular lens material used in 3.1 and Elvar Orn Kristinsson for conducting the intraocular lens Franz Diffusion experiments.

Publisher Copyright:
© 2017

Other keywords

  • Controlled release
  • Discontinuous boundary conditions
  • Targeted drug delivery


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