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Journal Biomedical Radioelectronics №7 for 2015 г.
Article in number:
Finite element analysis as a method to verify two layer mathematical model with spherical immersion
Authors:
A.N. Tikhomirov - Assistant, Department - Medical and technical information technology - (BMT-2), Bau-man Moscow State Technical University. E-mail: aleksey.tihomirov@gmail.com A.I. Malakhov - Assistant, Department - Medical and technical information technology - (BMT-2), Bauman Moscow State Technical University. E-mail: aimalakhov@bmstu.ru S.I. Shchukin - Dr. Sc. (Eng.), Professor, Head of - Medical and technical information technology - (BMT-2), Bauman Moscow State Technical University. E-mail: schookin@mx.bmstu.ru I.K. Sergeev - Ph. D. (Eng.), Assistant Professor, Department - Medical and technical information technol-ogy - (BMT-2), Bauman Moscow State Technical University. E-mail: sergeevik@rambler.ru A.K. Volkov - Dr. Sc. (Med.), Professor, Director «Medical centr» Bauman Moscow State Technical Univer-sity. E-mail: akv3011@yandex.ru
Abstract:
A mathematical model, which represent the heart in the chest as sphere in homogeneous half space, has been proposed to estimate the wall motion of heart by means of electrical impedance measurements. A series of assumptions have been taken in the consideration during the application of such model in radial electrical impedance mapping. The basic problem of the analytical solution of such mathematical model is that the solution for sphere in half space is founded from the solution for a sphere in a whole space by divided the equation by two, not taking in the consideration the interaction between the sphere and its image. The second assumption is that a point current source located on the surface of a half space used during the computing, while disposable ECG electrodes or bridged EEG electrodes are used during experiments. The third assumption is that the sphere and the half space cannot approximate the heart and the chest identically. In this paper studied these assumptions, and estimated error caused by them. The research based on comparing the results of computing using the proposed mathematical model with the results obtained by numerical modeling using the finite element analysis ANSYS.
Pages: 9-14
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