Training inverse reconstructions

One of the major issues in the inverse problem of electrocardiography is the sensitivity to noise (or in mathematically more correct terms, the ill-posedness of the problem). In general, research teams add constraints to the possible solutions to reduce the sensitivity to noise. These constrains are mainly based on physical or mathematical characteristics of the inverse problem. But what if we could use constraints that are actually based on more “biological” knowledge of the heart? In this conference paper we have seen some encouraging results when we try to achieve this by using simulated electrical training data on a heart surface.

Reference: Matthijs Cluitmans, Ralf Peeters, Paul Volders, and Ronald Westra. Realistic training data improve noninvasive reconstruction of heart-surface potentials. In Engineering in Medicine and Biology Society (EMBC), 2012 Annual International Conference of the IEEE, pages 6373-6376. IEEE, 2012.

Master thesis “Non-invasive reconstruction of electrical heart activity”

I graduated on the Master “Operations Research” with the thesis titled “Non-invasive reconstruction of electrical heart activity”. This thesis handles the mathematical problem of reconstructing heart-surface potentials from body-surface potentials. We will see that this so called “inverse problem” is ill-posed, meaning that we need additional techniques to dampen the influence of noise in our reconstructions. Some regularization methods were implemented with this purpose, and a first try with human data was performed. The thesis can be found here. For a summary of this work, read on. Continue reading “Master thesis “Non-invasive reconstruction of electrical heart activity””