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The surface Laplacian operator of the potentials on a bounded volume conductor has a unique inverse.
Journal article

The surface Laplacian operator of the potentials on a bounded volume conductor has a unique inverse.

  • van Oosterom A Department of Cardiology, University of Lausanne, Switzerland. adriaan.vanoosterom@epfl.ch
  • 2006-07-13
Published in:
  • IEEE transactions on bio-medical engineering. - 2006
Algorithms
Body Surface Potential Mapping
Brain
Brain Mapping
Computer Simulation
Diagnosis, Computer-Assisted
Electric Conductivity
Electroencephalography
Heart Conduction System
Models, Cardiovascular
Models, Neurological
English In the discussion on the use of the surface Laplacian (SL) of the distribution of bioelectric potentials on the body surface, the question remained open whether a complete specification of the SL of the potential over the surface bounding a volume conductor would uniquely specify the potential on that surface up to a constant. This paper reports that this is indeed the case. In addition, it is shown that the integral of the SL over a closed surface is zero, a property that may serve as a check on the accuracy of any numerical approximation of the SL.
Language
  • English
Open access status
closed
Identifiers
Persistent URL
https://sonar.ch/global/documents/93862
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