Exploiting Proper Orthogonal Decomposition for the solution of forward and inverse ECG and EEG related biomedical problems

A method for the equivalent dipole localization from EEG/ECG measured data is proposed herein exploiting the combined advantages of Proper Orthogonal Decomposition (POD) and Finite Element Method (FEM). The current effort is concentrated on solving a fine discretized forward eigenproblem once and applying POD to reduce the problem dimension. The equivalent dipole localization is in turn formulated by setting up a cost function in its least squares means. The involved calculated data sets as well as the sensitivity matrix are evaluated herein exploiting a POD eigenfunction expansion. Explicitly, for each forward problem solution the voltage generated by a test source is calculated as an eigenfunction expansion. The proposed method is expected to offer a computationally efficient forward and overall inverse problem solution, while our ambitious is to achieve real time brain dipole localization.