dorsal/arxiv
View SchemaOn the uniqueness of the surface sources of evoked potentials
| Authors | Alejandro Cabo, Carlos Handy, Daniel Bessis |
|---|---|
| Categories | |
| ArXiv ID | physics/0003048 |
| URL | https://arxiv.org/abs/physics/0003048 |
| DOI | 10.1103/PhysRevE.64.041901 |
Abstract
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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"abstract": "The uniqueness of a surface density of sources localized inside a spatial\nregion $R$ and producing a given electric potential distribution in its\nboundary $B_0$ is revisited. The situation in which $R$ is filled with various\nmetallic subregions, each one having a definite constant value for the electric\nconductivity is considered. It is argued that the knowledge of the potential in\nall $B_0$ fully determines the surface density of sources over a wide class of\nsurfaces supporting them. The class can be defined as a union of an arbitrary\nbut finite number of open or closed surfaces. The only restriction upon them is\nthat no one of the closed surfaces contains inside it another (nesting) of the\nclosed or open surfaces.",
"arxiv_id": "physics/0003048",
"authors": [
"Alejandro Cabo",
"Carlos Handy",
"Daniel Bessis"
],
"categories": [
"physics.med-ph",
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.64.041901",
"title": "On the uniqueness of the surface sources of evoked potentials",
"url": "https://arxiv.org/abs/physics/0003048"
},
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