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The electrocardiographic inverse problem: stability, regularization and a priori information

Yoram Rudy
YR

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Yoram Rudy

Résumé du colloque

Potential distributions measured over the heart surface (epicardial potentials) reflect electrical events within the myocardium with high spatial resolution. It follows that non-invasive reconstruction of epicardial potentials from measured body surface potentials (the inverse problem) would be a very useful experimental and clinical tool for determining local electrical cardiac activity (e.g. arrhythmogenic foci). While a unique solution to this problem exists, the problem is ill-posed in the sense that small perturbations in the data result in unbounded errors in the solution. Using an integral-operator approach to the solution, we derived stability estimates that demonstrate strong dependence of the solution on a priori information. Using simulated potentials in an idealized model and measured potentials in a realistic heart-torso system, we have examined and compared several regularization techniques that restore stability. A priori information was introduced as bounds or as temporal information. The sensitivity of the solution to geometrical errors and to spatial and temporal resolution of the data has been evaluated. Results are very encouraging regarding clinical and experimental usefulness of this approach.

Contexte

Section :
(Le) Problème inverse de l’électrocardiographie
news icon Thème du colloque :
(Le) Problème inverse de l’électrocardiographie
host icon Hôte : Université de Montréal

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Thème du colloque :

(Le) Problème inverse de l’électrocardiographie
The electrocardiographic inverse problem: stability, regularization and a priori information
Yoram Rudy