Identification of weakly coupled multiphysics problems. Application to the inverse problem of electrocardiography
MOIREAU, Philippe
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
MOIREAU, Philippe
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
< Réduire
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
Langue
en
Article de revue
Ce document a été publié dans
Journal of Computational Physics. 2015-02-15, vol. 283, p. 271–298
Elsevier
Résumé en anglais
This work addresses the inverse problem of electrocardiography from a new perspective, by combining electrical and mechanical measurements. Our strategy relies on the defini-tion of a model of the electromechanical contraction ...Lire la suite >
This work addresses the inverse problem of electrocardiography from a new perspective, by combining electrical and mechanical measurements. Our strategy relies on the defini-tion of a model of the electromechanical contraction which is registered on ECG data but also on measured mechanical displacements of the heart tissue typically extracted from medical images. In this respect, we establish in this work the convergence of a sequential estimator which combines for such coupled problems various state of the art sequential data assimilation methods in a unified consistent and efficient framework. Indeed we ag-gregate a Luenberger observer for the mechanical state and a Reduced Order Unscented Kalman Filter applied on the parameters to be identified and a POD projection of the electrical state. Then using synthetic data we show the benefits of our approach for the estimation of the electrical state of the ventricles along the heart beat compared with more classical strategies which only consider an electrophysiological model with ECG measurements. Our numerical results actually show that the mechanical measurements improve the identifiability of the electrical problem allowing to reconstruct the electrical state of the coupled system more precisely. Therefore, this work is intended to be a first proof of concept, with theoretical justifications and numerical investigations, of the ad-vantage of using available multi-modal observations for the estimation and identification of an electromechanical model of the heart.< Réduire
Mots clés en anglais
Electrocardiogram
Electromechanics
Data assimilation
Proper orthogonal decomposition
Reduced-Order Unscented Kalman Filter
Identification
Origine
Importé de halUnités de recherche