Coupling fluid and solid domains in modeling drug transport within tumor

Milos Kojic, Miljan Milosevic, Vladimir Simic, Arturas Ziemys, Mauro Ferrari

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Development of a feasible model for transport within complex vasculature network and tissue remains a challenge. Such a model is particularly important when considering drug transport within tumor environment. A drug used to cure the cancer is first transported through blood vessels, then it attaches to the vessel endothelium and faces biological barriers in the vessel wall to reach cancerous cells. We have developed a model for convective-diffusive drug transport which is simple and computationally efficient. One of the challenges was to couple fluid domain within blood vessels and solid domain of the tumor microenvironment. We have introduced fictitious 1D finite elements which appropriately take into account transport characteristics of the vessel walls. These characteristics include leakage and permeability of the walls. In evaluating wall permeability of a drug, we implemented our hierarchical multiscale methodology which couples molecular dynamics (MD) and continuum FE model. A numerical homogenization procedure was employed to obtain equivalent continuum transport parameters which account for interaction on molecular level between drug and solid components of the wall microstructure. Also, a possibility of using equivalent continuum transport models for capillary beds is investigated in order to further simplify and increase efficiency for the overall model of tumor. As a numerical example, we calculate transport through a capillary bed to illustrate applicability of our methodology.

Original languageEnglish (US)
Title of host publicationCOUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering
PublisherInternational Center for Numerical Methods in Engineering
Pages583-592
Number of pages10
ISBN (Print)9788494392832
StatePublished - Apr 1 2015
Event6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015 - Venice, Italy
Duration: May 18 2015May 20 2015

Other

Other6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015
CountryItaly
CityVenice
Period5/18/155/20/15

Keywords

  • Coupled Problems
  • Fictitious 1D Finite Element
  • Pipe Finite Element
  • Tumor model

ASJC Scopus subject areas

  • Computational Mathematics
  • Engineering(all)
  • Applied Mathematics

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