Abstract
Electrocardiographic shift equations for manifest hexadecapolar behavior due to eccentric location of equivalent generators of lesser degree have been derived and numerically validated. Under these conditions hexadecapolar properties emerge as first-order positional moments of eccentric octapole coefficients, second-order moments of quadripole coefficients, and third-order moments of dipole coefficients. Assuming that hexadecapolar field information can be successfully evaluated for beating heart preparations, including the intact human, the formulations presented herein should prove useful in determining the location of an equivalent cardiac generator of lesser degree.
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Brody, D. A., andRomans, W. E. A model which demonstrates the quantitative relationship between the electromotive forces of the heart and the extremity leads.American Heart Journal 1953,45, 263–276.
Brody, D. A., Bradshaw, J. C., andEvans, J. W. The elements of an electrocardiographic lead tensor theory.Bulletin of Mathematical Biophysics 1961,23, 31–42.
Brody, D. A. The inverse determination of simple generator configurations from equivalent dipole and multipole information, IEEE Transactions on Bio-Medical Engineering 1968,BME-15, 106–110.
Brody, D. A., Warr, O. S., Wennemark, J. R., Cox, J. W., Keller, F. W., andTerry, F. H. Studies of the equivalent cardiac generator behavior of isolated turtle hearts.Circulation Research 1971,29, 512–524.
Burger, H. C., andvan Milaan, J. B. Heart vector and leads, Part I.British Heart Journal 1946,8, 157–161.
Gabor, D., andNelson, C. V. Determination of the resultant dipole of the heart from measurements on the body surface.Journal of Applied Physics 1954,25, 413–416.
Geselowitz, D. B. Multipole representation for an equivalent cardiac generator.Proceedings of the Institute of Radio Engineers 1960,48, 75–79.
Horan, L. G., Flowers, N. C., andBrody, D. A. Body surface potential distribution: Comparison of naturally and artificially produced signals as analyzed by digital computer.Circulation Research 1963,13, 373–387.
Horan, L. G., Flowers, N. C., andMiller, C. B. A rapid assay of dipolar and extradipolar content of the human electrocardiogram.Journal of Electrocardiology 1972,5, 211–223.
McFee, R., Stow, R. M., andJohnston, F. D. Graphic representation of electrocardiographic leads by means of fluid mappers.Circulation 1952,6, 21–29.
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This work was supported by Grant Nos. HL-11667, HL-14032, HL-01362, and HL-09495 of the National Heart and Lung Institute, National Institutes of Health, U. S. Public Health Service, and an award from the Veterans Administration.
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Brody, D.A., Cox, J.W. & Horan, L.G. Hexadecapolar shift equations applicable to equivalent cardiac generators of lower degree. Annals of Biomedical Engineering 1, 481–488 (1973). https://doi.org/10.1007/BF02367271
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DOI: https://doi.org/10.1007/BF02367271