A real-time solution for an inverse Cauchy problem in cardiology

The inverse problem of electrocardiography describes the reconstruction of the cardiac electrophysiological activity from remote measurements of its generated electrical potential. In this work, we present a real-time solution to this ill-posed problem under simultaneous regularization in time and space. Furthermore we propose a fast post-processing step that recovers the conduction velocity, i.e., the speed of the travelling potential. Numerical examples are presented to illustrate the robustness and efficiency of the new method.