Abstract
In Yeh, Martinek, and de Beaumont (Bull. Math. Biophysics,20, 203–216, 1958), multipole representations of current generators in a volume conductor are used, based upon the Taylor series expansion of the potential function. In Yeh, (Bull. Math. Biophysics,23, 263–276, 1961) multipole representations of current generators in a spherical volume conductor are used, based upon the spherical harmonic expansion. This paper correlates these two systems of multipole representations so that formulations in terms of one system of the representations may be readily transformed into formulations in terms of the other system. Since the Taylor series representation is more graphic, whereas the spherical harmonic representation is more compact, such a transformation between these two systems of formulations can serve useful purposes in the application of the theory of electrocardiography.
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Literature
Morse, P. M. and H. Feshbach. 1953.Methods of Theoretical Physics. New York: McGraw-Hill Co.
Yeh, G. C. K. 1961. “Eccentric Multipole Representations of Current Generators in a Spherical Volume Conductor.”Bull. Math. Biophysics,23, 263–276.
Yeh, G. C. K., J. Martinek, and H. de Beaumont. 1958. “Multipole Representations of Current Generators in a Volume Conductor.”Bull. Math. Biophysics,20, 203–216.
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This investigation was supported by the National Heart Institute under Research Grant H-2263 (c-4).
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Yeh, G.C.K. On multipole representation of current generators. Bulletin of Mathematical Biophysics 24, 197–207 (1962). https://doi.org/10.1007/BF02477426
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DOI: https://doi.org/10.1007/BF02477426