Parallele Löser und effiziente Diskretisierungsmethoden für bioelektrische Feldberechnungen
The reconstruction of the bioelectric field in the human brain from non-invasive measurements like electroencephalographic recordings (EEG) has the potential to become a powerful tool in neurology.
From a mathematical point of view, the reconstruction can be considered as an inverse problem, which can be solved by repeated numerical simulations of the potential distribution, that we call forward problem, for assumed dipolar current sources in the brain.
The sources to be localized during the inverse problem and to be modeled in the forward problem are electrolytic currents within the dendrites of the large pyramidal cells of activated neurons in the cortex sheet of the human brain. The resulting primary current is generally formulated as a mathematical dipole.
In our project we are interested in the modelling of the mathematical dipoles and the efficient solution of the forward and inverse problem.