Neslihan Ozmen, Fatma Yerlikaya, Doga Gürsoy
Institute of Applied Mathematics, METU
The Inverse Problem of Magnetoencepkalography: Sourse Localization and The Shape of Ball
Magnetoencephalography (MEG) is a non-invasive neurophysiological technique that measures the magnetic fields generated by neuronal activity of the brain. The inverse problem of magnetoencephalography (MEG) is to estimate impressed currents from observations of magnetic fields outside the skull. A common way to model impressed currents is to generate a grid that covers the region of interest in the brain and attach mutually orthogonal electric dipoles with unknown amplitudes at each grid point. The MEG inverse problem of reconsructing electrical sources in human brain is an ill-posed problem. Users of MEG are faced with a vast array of inverse methods that can be used to process their data. For solving this problem there are some regularization techniques (i.e., Tikhonov regularization).