Parameter estimation for a 3D Navier-Stokes - 0D coupled system: application to patient-specific haemodynamics

Benoit Fabrèges 1 Sanjay Pant 1 Irene Vignon-Clementel 1 Jean-Frédéric Gerbeau 1
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : In this paper, we present a parameter estimation procedure for a 3D Navier-Stokes problem coupled with a 0D system. The idea is to get a reduced order (0D) model from the 3D model to do the parameter estimation. The estimation is performed on this reduced order model by using the Unscented Kalman Filter (UKF). Clinically measured data are taken into account during the parameter estimation and after a first 3D simulation with these parameters, a new iteration of the estimation procedure can be performed by updating the reduced order model according to the 3D results. This process can be repeated and leads to an iterative algorithm. Such a method is applied on a haemodynamics problem: the simulation of the blood flow in the aorta using Windkessel boundary conditions. The 3D results are shown to be in good agreement with the clinical data, showing that the parameters are well estimated.
Type de document :
Communication dans un congrès
3rd International Conference on Computational & Mathematical Biomedical Engineering, Dec 2013, Hong Kong, China. 2013
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https://hal.inria.fr/hal-00918373
Contributeur : Benoit Fabrèges <>
Soumis le : vendredi 13 décembre 2013 - 14:11:52
Dernière modification le : mardi 11 décembre 2018 - 01:23:53

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  • HAL Id : hal-00918373, version 1

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Benoit Fabrèges, Sanjay Pant, Irene Vignon-Clementel, Jean-Frédéric Gerbeau. Parameter estimation for a 3D Navier-Stokes - 0D coupled system: application to patient-specific haemodynamics. 3rd International Conference on Computational & Mathematical Biomedical Engineering, Dec 2013, Hong Kong, China. 2013. 〈hal-00918373〉

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