EEG identification of a localized 1-D neuronal excitation

Albaneze and Monk [1] have demonstrated that it is impossible to identify the three-dimensional support of any primary current living within a conducting medium, from electromagnetic measurements outside the conductor. However, this is not true if the primary current is supported in a subset of dimensionality less than three. In the present report, we demonstrate the truth of this statement by constructing an analytic algorithm that identifies the location, the orientation, and the size of a localized linear distribution of current dipoles within the brain, from a complete knowledge of the electric potential recorded by an electroencephalographer on the surface of the head.