Inverse problem solution algorithms in magnetocardiography: New analytical approaches and some results

Article type: Research Article

Authors: Primin, M.^{a; *} | Nedayvoda, I.^a

Affiliations: [a] Institute of cybernetics, Academy of Science of Ukraine, Akademika Glushkova str. 40, Kiev, Ukraine

Correspondence: [*] Corresponding author. Tel.: +38 044 5263079; E-mail: prima_m@voliacable.com

Abstract: This paper describes the development of the magnetostatic inverse problem solution methods for studies of the magnetic field of human heart (magnetocardiography – MCG). A set of N different dipole sources is associated with the spatial distribution of the heart magnetic field parameters, measured in the observation plane. Methods: Estimation of the field sources quantity in the heart for a given time-point of the average cardiocycle is obtained after spatial-and-time analysis of the spatial gradients intensity of the magnetic field in the observation area (plane). Relative powers of the field sources have been obtained by plotting the Voronoi diagram. Mutual locations (coordinates) of the sources in the heart volume are obtained after examining the analytical solution of the magnetostatic inverse problem for each of the N magnetic dipoles. Results: The analytical solution of the magnetostatic inverse problem for several magnetic field sources, independently distributed in a 3D volume, has been obtained. The validity of the problem solution is supported by the results of numerical and physical simulations. Conclusions: Algorithm of the magnetostatic inverse problem solution is implemented as a software package for the magnetocardiograph and used for cardiology diagnosis.

Keywords: Magnetic field, inverse problem solution, magnetocardiography, SQUID

DOI: 10.3233/JAE-2009-1001

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 29, no. 2, pp. 65-81, 2009