"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 6, 2016

contents             full texthtml,   pdf   

The analysis of the error of the electrical potential calculation on the surface of the conductive cylinder, excited by surface source inside the cylinder

N. O. Strelkov, M. N. Kramm, G. V. Zhikhareva

Moscow Power Engineering Institute (Technical University)

 

The paper is received on May 20, 2016

Abstract. The aim of this work is the analysis of the error of the electrical potential calculation on the surface of the conductive cylinder, excited by surface source inside the cylinder. The necessity f this comparison is connected with the solution of the inverse problem of electrocardiography − the task of reconstruction of the source by ECG signals created by this source and recorded at the points of electrodes placement on the body surface. As in basis of the solution of the inverse problem is the direct calculation of surface potentials, it is important to estimate the error of the calculation of the potentials, associated with the discretization of the surface of equivalent electrical source distribution. In this paper we considered the error of calculation of potentials on the surface of the conductive cylinder with finite length excited by a distribution of potential and its normal derivative on the inner spherical surface (a spherical model of quasi-epicardium in ECG). As a model source producing surface potentials we used dipole located inside the sphere of the epicardium. The electric potential on the torso surface was calculated by the boundary element method, in this case we compared the contribution to the error of calculation, which yields the integration of the potential, its normal derivative on the surface of the spherical epicardium and the integration of the potential on the cylindrical torso surface. The impacts of the number of segmentations, type of source and shape of the cylinder on the error of potentials calculation were analyzed.

Key words: electrocardiography, electric potentials, model of torso, quasi-epicardium, surface sources, surface integrals.

References

1. Titomir L.I., Kneppo P. Matematicheskoe modelirovanie bioelektricheskogo generatora serdca. [Mathematical modeling of heart's bioelectric generator]. Moscow, Nauka Publ. 1999. 447 p. (In Russian)

2. Titomir L.I. Elektricheskij generator serdca. [Electric Heart generator]. Moscow, Nauka Publ. 1980. 372 p. (In Russian)

3. Rudy Y., Messinger-Rapport B.J. The inverse problem in electrocardiography: Solutions in terms of epicardial potentials. CRC Crit. Rev. Biomed. Eng. 1988, No. 16, pp. 216-268

4. Strelkov N. O., Kramm M.N., Zhikhareva G.V., Inhomogeneous electrodynamic model of human chest in the form of an elliptical cylinder.  Zhurnal Radioelektroniki - Journal of Radio Electronics, 2011, Vol. 16, No. 7. Available at http://jre.cplire.ru/jre/jul11/4/text.pdf(In Russian)

5. Brebbia C., Telles J., Vroubel L., Metody granichnyx elementov. [Boundary element methods], Moscow, Mir Publ. 1987. 524 p. (In Russian)