Spatial and Temporal Regularization in the Electro- and Magnetocardiographic Inverse Problem

    Project: Research project

    Project Details


    The reconstruction of cardiac electrical sources from body surface potential maps and from maps of the cardiac magnetic field has been of scientific interest during the last years. Several efforts were made to develop powerful recording techniques and mathematical approaches for a proper estimation of the primary sources. Besides measurement techniques, powerful modeling approaches have to be applied in order to estimate the primary source structure. For volume conductor modeling, the finite element method and the boundary element method are the state-of-the-art techniques. Regarding the modeling approaches, linear and nonlinear methods for the determination of the transmembrane potential pattern on the surface of the heart were developed.

    The objective of the project is the development of an inverse approach including temporal and spatial regularization for the estimation of the activation time (i.e. of the onset of the transmembrane potential) map during ventricular depolarization. The activation times on the endo- and epicardium are reconstructed by a quasi-Newton method (BFGS, Broyden-Fletcher-Goldfarb-Shanno method). The starting column matrix for the activation times is estimated applying the critical point theorem.
    Effective start/end date1/01/9731/12/99