{
  "annotation_id": "b2a51057-9786-4d6a-916b-4d0f23d23513",
  "date_created": "2026-03-02T18:00:53.511000Z",
  "date_modified": "2026-03-02T18:00:53.511000Z",
  "file_hash": "6a805538fca22a0c208e24d6da5be7e85d71148b62177a1ba5a66b8f0760e154",
  "private": false,
  "record": {
    "abstract": "The problem of determining the neuronal current inside the brain from\nmeasurements of the induced magnetic field outside the head is discussed under\nthe assumption that the space occupied by the brain is approximately spherical.\nBy inverting the Geselowitz equation, the part of the current which can be\nreconstructed from the measurements is precisely determined. This actually\nconsists of only certain moments of one of the two functions specifying the\ntangential part of the current. The other function specifying the tangential\npart of the current as well as the radial part of the current are completely\narbitrary. However, it is also shown that with the assumption of energy\nminimization, the current can be reconstructed uniquely. A numerical\nimplementation of this unique reconstruction is also presented.",
    "arxiv_id": "physics/0412028",
    "authors": [
      "A. S. Fokas",
      "Y. Kurylev",
      "V. Marinakis"
    ],
    "categories": [
      "physics.med-ph",
      "math.NA"
    ],
    "doi": "10.1088/0266-5611/20/4/005",
    "title": "The Unique Determination of Neuronal Currents in the Brain via   Magnetoencephalography",
    "url": "https://arxiv.org/abs/physics/0412028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c20ad6ea-fad5-4ee4-b55e-89f4c9bd8417",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}