On the uniqueness of the surface sources of evoked potentials

Details On the uniqueness of the surface sources of evoked potentials On the uniqueness of the surface sources of evoked potentials

2000-03-21

arxiv.org/abs/physics/0003048v1

Physics

Medical Physics

16 pages, 5 figures

Scientific paper

10.1103/PhysRevE.64.041901

The uniqueness of a surface density of sources localized inside a spatial region $R$ and producing a given electric potential distribution in its boundary $B_0$ is revisited. The situation in which $R$ is filled with various metallic subregions, each one having a definite constant value for the electric conductivity is considered. It is argued that the knowledge of the potential in all $B_0$ fully determines the surface density of sources over a wide class of surfaces supporting them. The class can be defined as a union of an arbitrary but finite number of open or closed surfaces. The only restriction upon them is that no one of the closed surfaces contains inside it another (nesting) of the closed or open surfaces.

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