Recent progress in inverse problems in electrocardiology

Estimation of Cardiac Electrical Propagation from Medical Image Sequence

“…In this paper Tikhonov regularization [1] is applied to this connection with a priori constraint, which is generated from a modified FitzHugh-Nagumo model [9]. The classical Tikhonov regularized solution is obtained through minimization of the following equation:…”

“…Recently, electrocardiographic inverse approaches are becoming of great interests to the research and clinical communities because its potential to describe the patient-specific electrical activity of each myocyte of the heart [1]. Based on mathematical simulations of the cardiac electrical propagation process, there are a number of efforts that aim to estimate the macroscopic cardiac electrical activities from multichannel ECG measures [1].…”

“…Recently, electrocardiographic inverse approaches are becoming of great interests to the research and clinical communities because its potential to describe the patient-specific electrical activity of each myocyte of the heart [1]. Based on mathematical simulations of the cardiac electrical propagation process, there are a number of efforts that aim to estimate the macroscopic cardiac electrical activities from multichannel ECG measures [1]. While such inverse approaches are invaluable, they are ill-posed because of the absence of unique mapping between the intra-cardiac electrical excitation and body surface potential distribution, and appropriate constraints must be adopted to ensure that solutions are available.…”

“…Hence, electrical propagation from a priori information should be considered to constrain the pattern calculated from estimated motion field. In our current work, Tikhonov regularization, which is a standard technique in electrocardiographic inverse approaches [1], is applied to perform a weighted sum between predicted pattern from simulation and the pattern calculated from motion-derived active forces.…”

Imaging myocardial strain

“…The measurement of the electrical activity of the heart is a very mature field. Body surface electrode mapping [16], [17], [42], intracavity electrodes [41], optical techniques [63], and monophasic action potentials [31] are just some of the methods used to map myocardial electrical activity.…”