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The Model of Global Blood Circulation and Applications

  • Tatiana K. Dobroserdova
  • Yuri V. Vassilevski
  • Sergey S. Simakov
  • Maxim A. Olshanskii
  • Victoria Yu. Salamatova
  • Timur M. Gamilov
  • Vasiliy K. Kramarenko
  • Yuri A. Ivanov
Part of the IFMBE Proceedings book series (IFMBE, volume 45)

Abstract

1D model of global blood circulation describes hemodynamics of healthy vascular system very well. Real applications demand considerations of vascular pathologies, implants and influence of external effects. In this paper we discuss how to do it on the basis of the model. The first approach is to update the state equation of the model. This equation describes elastic properties of the vessel wall. The second approach is to use a 3D model of the blood flow in the region of interest. The 3D model should be coupled with the 1D model of global blood circulation.

Keywords

Model of global blood circulation 3D-1D model vascular pathologies and implants state equation boundary conditions 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Tatiana K. Dobroserdova
    • 1
  • Yuri V. Vassilevski
    • 1
  • Sergey S. Simakov
    • 3
  • Maxim A. Olshanskii
    • 2
  • Victoria Yu. Salamatova
    • 3
  • Timur M. Gamilov
    • 3
  • Vasiliy K. Kramarenko
    • 3
  • Yuri A. Ivanov
    • 1
  1. 1.Institute of Numerical Mathematics RASMoscowRussia
  2. 2.Department of MathematicsUniversity of HoustonHoustonUSA
  3. 3.Moscow Institute of Physics and TechnologyMoscowRussia

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