ANALYSIS OF LUMPED PARAMETER MODELS FOR BLOOD FLOW SIMULATIONS AND THEIR RELATION WITH 1 D MODELS

@inproceedings{Quarteroni2004ANALYSISOL,
  title={ANALYSIS OF LUMPED PARAMETER MODELS FOR BLOOD FLOW SIMULATIONS AND THEIR RELATION WITH 1 D MODELS},
  author={Alfio Quarteroni and Vuk Milisic},
  year={2004}
}
This paper provides new results of consistence and convergence of the lumped parameters (ODE models) toward one-dimensional (hyperbolic or parabolic) models for blood flow. Indeed, lumped parameter models (exploiting the electric circuit analogy for the circulatory system) are shown to discretize continuous 1D models at first order in space. We derive the complete set of equations useful for the blood flow networks, new schemes for electric circuit analogy, the stability criteria that guarantee… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-10 OF 22 REFERENCES

Reduced and multiscale models for the human cardiovascular system

  • L. Formaggia, A. Veneziani
  • Technical report, PoliMI, Milan
  • 2003
Highly Influential
6 Excerpts

On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels

  • L. Formaggia, J. F. Gerbeau, F. Nobile, A. Quarteroni
  • Comput. Methods Appl. Mech. Engrg. 191
  • 2001
Highly Influential
3 Excerpts

Mathematical analysis of quasilinear effects in a hyperbolic model of blood flow through compliant axi-symmetric vessels

  • S. Čanić, E. H. Kim
  • Math. Meth. Appl. Sci. 26
  • 2003
3 Excerpts

G

  • F. Migliavacca, G. Pennati, G. Dubini, R. Fumero, R. Pietrabissa
  • Urcelay, E.L. Bove, T.Y. Hsia and M.R. de Leval…
  • 2001
1 Excerpt

Numerical Mathematics

  • A. Quarteroni, R. Sacco, F. Saleri
  • 37 Texts Appl. Math. Springer-Verlag, New York
  • 2000
1 Excerpt

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