Skip to main content
Biophysical Journal logoLink to Biophysical Journal
. 1967 Sep;7(5):443–462. doi: 10.1016/S0006-3495(67)86598-6

The Application of Electromagnetic Theory to Electrocardiology

I. Derivation of the Integral Equations

A C L Barnard, I M Duck, M S Lynn
PMCID: PMC1368073  PMID: 6048873

Abstract

One of the fundamental problems of theoretical electrocardiology is to determine the potential distribution on the surface of the torso due to the time-varying dipolar heart source. In this paper we present a rigorous derivation of the integro-differential equations for the potential, containing, for the first time, the effects of the time dependence of the source and the dielectric properties of the medium. These equations provide a general and rigorous basis from which to attack the problem numerically on a computer and permit the use of a detailed model of the thorax as a multiple region volume of different dielectric and conducting properties.

Full text

PDF
446

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Barnard A. C., Duck I. M., Lynn M. S., Timlake W. P. The application of electromagnetic theory to electrocardiology. II. Numerical solution of the integral equations. Biophys J. 1967 Sep;7(5):463–491. doi: 10.1016/S0006-3495(67)86599-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. GELERNTER H. L., SWIHART J. C. A MATHEMATICAL-PHYSICAL MODEL OF THE GENESIS OF THE ELECTROCARDIOGRAM. Biophys J. 1964 Jul;4:285–301. doi: 10.1016/s0006-3495(64)86783-7. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. KAY C. F., SCHWAN H. P. Specific resistance of body tissues. Circ Res. 1956 Nov;4(6):664–670. doi: 10.1161/01.res.4.6.664. [DOI] [PubMed] [Google Scholar]
  4. RUSH S., ABILDSKOV J. A., McFEER Resistivity of body tissues at low frequencies. Circ Res. 1963 Jan;12:40–50. doi: 10.1161/01.res.12.1.40. [DOI] [PubMed] [Google Scholar]
  5. SCHWAN H. P., KAY C. F. Capacitive properties of body tissues. Circ Res. 1957 Jul;5(4):439–443. doi: 10.1161/01.res.5.4.439. [DOI] [PubMed] [Google Scholar]

Articles from Biophysical Journal are provided here courtesy of The Biophysical Society

RESOURCES