Propagation of two independent sources of uncertainty in the electrocardiography imaging inverse solution
Idioma
en
Article de revue
Este ítem está publicado en
Mathematical Modelling of Natural Phenomena. 2019-02-15, vol. 14, n° 2
EDP Sciences
Resumen en inglés
This work investigates the effects of the inputs parameters uncertainties (organs conductivities, boundary data) on the electrocardiography (ECG) imaging problem. These inputs are very important for the construction of the ...Leer más >
This work investigates the effects of the inputs parameters uncertainties (organs conductivities, boundary data) on the electrocardiography (ECG) imaging problem. These inputs are very important for the construction of the torso potential for the forward problem and for the non-invasive electrical potential on the heart surface in the case of the inverse problem. We propose a new stochastic formulation allowing to combine both sources of errors. We formulate the forward and the inverse stochastic problems by considering the inputs parameters as random fields and a sto-chastic optimal control formulation. In order to quantify multiple independent sources of uncertainties on the forward and inverse solutions, we attribute suitable probability density functions for each randomness source, and apply stochastic finite elements based on generalized polynomial chaos method. The efficiency of this approach to solve the forward and inverse ECG problem and the usability to quantify the effect of organs conductivity and epicardial boundary data uncertainties in the torso are demonstrated through a number of numerical simulations on a 2D computational mesh of a realistic torso geometry.< Leer menos
Palabras clave en inglés
Uncertainty quantification
Boundary value problem
Stochastic finite elements
Electrocardiography imaging forward and inverse problems
Ill posed problem
Orígen
Importado de HalCentros de investigación