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Potential distributions measured over the heart surface (epicardial potentials) reflect electrical events within the myocardium with high spatial resolution. It follows that non-invasive reconstruction of epicardial potentials from measured body surface potentials (the inverse problem) would be a very useful experimental and clinical tool for determining local electrical cardiac activity (e.g. arrhythmogenic foci). While a unique solution to this problem exists, the problem is ill-posed in the sense that small perturbations in the data result in unbounded errors in the solution. Using an integral-operator approach to the solution, we derived stability estimates that demonstrate strong dependence of the solution on …
