Four-shell ellipsoidal model employing multipole expansion in ellipsoidal coordinates.

Although the head is more closely represented as an ellipsoid than a sphere, calculation in ellipsoidal coordinates is difficult. This paper presents a four shell ellipsoidal model, employing multipole expansion in ellipsoidal coordinates, for EEG, MEG, and evoked potential applications. Computation...

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Bibliographic Details
Published in:Medical & Biological Engineering & Computing Vol. 46; no. 9; pp. 859 - 870
Main Authors: Blimke J, Myklebust J, Volkmer H, Merrill S, Blimke, John, Myklebust, Joel, Volkmer, Hans, Merrill, Stephen
Format: Journal Article
Published: Springer Nature Sep2008
Online Access:View this record in EBSCOhost
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      vid: 46
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      pub: Springer Nature
      place: New York, New York
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        atl: Four-shell ellipsoidal model employing multipole expansion in ellipsoidal coordinates.
      aug:
        au:
          Blimke J
          Myklebust J
          Volkmer H
          Merrill S
          Blimke, John
          Myklebust, Joel
          Volkmer, Hans
          Merrill, Stephen
        affil: The Max McGee National Research Center For Juvenile Diabetes, Medical College of Wisconsin, Milwaukee, WI 53226, USA
      sug:
        subj:
          Head Anatomy and Histology
          Models, Anatomic
          Brain Anatomy and Histology
          Diagnosis, Neurologic
          Electroencephalography
          Evoked Potentials, Somatosensory
          Models, Biological
      ab: Although the head is more closely represented as an ellipsoid than a sphere, calculation in ellipsoidal coordinates is difficult. This paper presents a four shell ellipsoidal model, employing multipole expansion in ellipsoidal coordinates, for EEG, MEG, and evoked potential applications. Computational detail and insight into efficient calculation of the Lamé functions of the first and second kind are provided to demonstrate feasibilty. The Lamé function of the second kind, derived from the Lamé function of the first kind, can be computed at higher degrees by means of partial fraction expansion.
      pubtype: Academic Journal
      doctype: Journal Article
      ougenre: Article
    language: English
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