On uniqueness theorems for the inverse problem of electrocardiography in the Sobolev spaces

We consider a mathematical model related to reconstruction of cardiac electrical activity from ECG measurements on the body surface. An application of recent developments in solving boundary value problems for elliptic and parabolic equations in Sobolev type spaces allows us to obtain uniqueness theorems for the model. The obtained results can be used as a sound basis for creating numerical methods for non-invasive mapping of the heart.

Automated summary

This study considers a mathematical model that relates to reconstructing cardiac electrical activity from ECG measurements on the body surface. By applying recent developments in solving boundary value problems for elliptic and parabolic equations in Sobolev type spaces, uniqueness theorems for the model have been obtained. These results can serve as a sound foundation for creating numerical methods for non-invasive mapping of the heart.