ANALYSIS OF METHODS OF LOCALIZATION OF MAGNETIC FIELD SOURCES IN BIOMAGNETIC RESEARCH
N. V. Golyshev1, S. V. Motorin1,2, D. N. Golyshev1
1Siberian State University of Water Transport, Novosibirsk, Russia
2Novosibirsk State Technical University, Novosibirsk, Russia
Keywords: biomagnetic research, multidipole, 1-D model, localization, recovery, solution stability
Abstract
Various issues of localization of magnetic field sources in magnetocardiography using the 1-D multidipole model are considered. In real conditions, the experimenter deals with an underdetermined ill-conditioned system. Regularizing procedures are used to obtain a stable solution. The issues under investigation are the resolution of the method and the quality of recovery (determination of the spatial parameters of the multidipole: the depth of occurrence and the amplitude of the dipole moment), as well as the issues of solution stability. In computer modeling, the following methods are used: the method of matrix decomposition by singular numbers and Tikhonov regularization.
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