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On multipole theory in electrocardiography

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Abstract

This paper continues a comparison of the Taylor series and spherical harmonic forms of multipole representations initiated by Yeh (Bull. Math. Biophysics,24, 197–207, 1962). It is shown that while transformations from Taylor series form into spherical harmonic form is always possible, the inverse cannot be accomplished as suggested by Yeh; corrected transformation equations are given. It is also shown that direct measurement of Taylor coefficients, as outlined in Yeh, Martinek, and de Beaumont (Bull. Math. Biophysics,20, 203–216, 1958), is actually not possible. Accordingly, only the spherical harmonic coefficients can be determined by measurement of surface potentials, as in electrocardiography.

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Authors and Affiliations

  1. Bioengineering Group, Case Institute of Technology, Cleveland, Ohio

    Robert Plonsey

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  1. Robert Plonsey
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Plonsey, R. On multipole theory in electrocardiography. Bulletin of Mathematical Biophysics 28, 161–166 (1966). https://doi.org/10.1007/BF02476990

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  • DOI: https://doi.org/10.1007/BF02476990

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