research article
Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
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 the convergence, and the energy estimates of the limit 1D equations
Type
research article
Web of Science ID
WOS:000223827100002
Author(s)
Milisic, Vuk
Date Issued
2004
Published in
Volume
38
Issue
4
Start page
613
End page
32
Editorial or Peer reviewed
REVIEWED
Written at
EPFL
Available on Infoscience
April 24, 2007
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