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research article

Analysis of lumped parameter models for blood flow simulations and their relation with 1D models

Milisic, Vuk
•
Quarteroni, Alfio  
2004
Mathematical Modelling and Numerical Analysis

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

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Type
research article
DOI
10.1051/m2an:2004036
Web of Science ID

WOS:000223827100002

Author(s)
Milisic, Vuk
Quarteroni, Alfio  
Date Issued

2004

Published in
Mathematical Modelling and Numerical Analysis
Volume

38

Issue

4

Start page

613

End page

32

Subjects

convergence of numerical methods haemodynamics hyperbolic equations lumped parameter networks parabolic equations

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CIB  
CMCS  
Available on Infoscience
April 24, 2007
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/5389
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