INVESTIGATION OF INFLUENCE OF GEOMETRIC
PARAMETERS OF MODEL ON ERROR OF ESTIMATION OF PARAMETERS OF ELECTRICAL ACTIVITY OF HEART 

Kuz'min Andrey Viktorovich, candidate of technical sciences, associate professor, sub-department of information and computing systems, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: a.v.kuzmin@pnzgu.ru 

004.9; 621/317; 612.172.4 

Background. The aim of the current research is investigation of influence of geometric parameters of 3D model of heart on error of estimation of parameters of multidipole model of electrical activity of heart (model of L.I. Titomir) on the base of electrocardiographic
data.
Мethods. Theoretical and methodological base of the investigation consists of fundamental matters of L.I Titomir in the field of equivalent electrical generator of the heart, methods of solving of linear algebraic equations systems, numerical methods. 3D models of the heart and geometric modeling methods were used during the work.
Results. Process of estimation of parameters of multi-dipole model of electrical activity of the heart were analyzed. It is shown that geometric parameters of 3D model of the heart determining spatial location of dipoles can reduce the task to ill-conditioned system of equations and solution of this system with help of approximate numerical methods leads to errors. The author specified the conditions that allow solving the task without application of approximate methods. Computational experiment showed the possibility of solving the
equations without the error. Corresponding results are demonstrated and comparative analysis is implemented.
Conclusions. Obtained results allow reduce the error of solving the problem of estimation of parameters of multi-dipole model of electrical activity of the heart by imposition of proposed conditions to geometric parameters of 3D model of the heart. 

electrical activity of a heart, reverse problem of electrocardiography, multi-dipole model, 3D model of a heart