Advertisement

Abstract

Mass transport within an organ is complex process which occurs through two different domains: networks of blood vessels and surrounding tissue. Consequently, development of a comprehensive transport model remains a challenge. In this paper we showed an application of a recently introduced multi-scale transport model [1, 2], where larger vessels are modeled by simple 1D finite elements. This model couples convective and diffusive transport within complex system consisted of capillaries and tissue, where connection between these fluid (capillaries) and solid (tissue) domains is accomplished by using fictitious 1D elements. In order to apply the developed model, a reconstruction procedure, consisted of: segmentation, skeletonization using augmented FMM method, and diameter recognition within indoor software, is processed. At the end, numerical simulations are performed in order to get the pressure and concentration distribution in the vessel network and surrounding tissue, showed by examples presented in the paper.

Keywords

Segmentation Skeletonization Finite element method Pipe finite element Pancreas model Liver model 

Notes

Acknowledgments

This work was supported in part by the Houston Methodist Research Institute, Ministry of Education and Science of Serbia, grants OI 174028 and III 41007, and City of Kragujevac.

We acknowledge professor Mauro Ferrari from HMRI for overall leadership and guidance, Dr. Eugene Koay from MD Anderson Cancer Center and Sara Errani from HMRI for providing CT images of pancreas and liver.

References

  1. 1.
    Kojic, M., Milosevic, M., Simic, V., Ferrari, M.: A 1D pipe finite element with rigid and deformable walls. J. Serb. Soc. Comput. Mech. 8, 38–53 (2014)CrossRefGoogle Scholar
  2. 2.
    Kojic, M., Milosevic, M., Kojic, N., Starosolski, Z., Ghaghada, K., Serda, R., Annapragada, A., Ferrari, M., Ziemys, A.: A multi-scale FE model for convective-diffusive drug transport within tumor and large vascular networks. Comput. Methods Appl. Mech. Eng. 294, 100–122 (2015)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Reniers, D., van Wijk, J.J., Telea, A.: Computing multiscale curve and surface skeletons of genus 0 shapes using a global importance measure. IEEE Trans. Visual. Comput. Graph. 14(2), 355–368 (2008)CrossRefGoogle Scholar
  4. 4.
    van Uitert, R., Bitter, I.: Subvoxel precise skeletons of volumetric data base on fast marching methods (2007)Google Scholar
  5. 5.
    Kojic, M., Filipovic, N., Stojanovic, B., Kojic, N.: Computer Modeling in Bioengineering - Theoretical Background, Examples and Software. Wiley, Chichester (2008)CrossRefGoogle Scholar
  6. 6.
    Kojic, M., Slavkovic, R., Zivkovic, M., Grujovic, N., Filipovic, N.: PAK—Finite Element Program for Linear and Nonlinear Analysis. University of Kragujevac, R&D Center for Bioengineering Kragujevac, Serbia (1998, 2010)Google Scholar

Copyright information

© ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 2018

Authors and Affiliations

  • Miljan Milosevic
    • 1
  • Vladimir Simic
    • 1
  • Milos Kojic
    • 1
    • 2
    • 3
  1. 1.Bioengineering Research and Development Center, BioIRC KragujevacKragujevacSerbia
  2. 2.The Department of NanomedicineThe Houston Methodist Research Institute (TMHRI)HoustonUSA
  3. 3.Serbian Academy of Sciences and ArtsBelgradeSerbia

Personalised recommendations