Multipole representation of an eccentric dipole and an eccentric double-layer |
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Authors: | G C K Yeh J Martinek |
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Institution: | (1) Staff Scientists, Reed Research Foundation, Washington, D. C. |
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Abstract: | Recently a theorem for representing current generators in a volume conductor by the superposition of a central dipole, quadrupole,
octopole, etc., has been established by G. C. K. Yeh, J. Martinek, and H. de Beaumont (Bull. Math. Biophysics,20, 203–16, 1958). This theorem makes possible the representation of any discrete or line, surface- or volume-distributed current
source by a unique model which can be determined for each given case by surface potential measurements and closed form analysis.
In this paper the multipole representations of an eccentric dipole and an eccentric double-layer are obtained in terms of
the various parameters of the assumed singularities, and the contributions to surface potentials due to each of the multipoles
are compared. Certain numerical results corresponding to those of E. Frank (Amer. Heart J.,46, 364–78, 1953) are carried out and compared. Furthermore, the multipole representation of a partially damaged double-layer
is also determined and compared with that of an undamaged one. It is concluded that within the range of parameters corresponding
to human subjects the higher-order multipoles can contribute significantly to the surface potentials compared with the dipole.
This investigation was supported by the National Heart Institute under a research grant H-2263(c). |
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