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Matematicheskoe modelirovanie, 2012, Volume 24, Number 4, Pages 22–30 (Mi mm3256)  

This article is cited in 3 scientific papers (total in 3 papers)

Method for determining projection of the arrhythmogenic focus on a heart surface based on solution of the inverse electrocardiography problem

A. M. Denisov, E. V. Zakharov, A. V. Kalinin

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (285 kB) Citations (3)
References:
Abstract: In the article the problem of determining the point on a heart surface (projection) closest to the arrhythmogenic focus that is located inside the heart is consider. Localization of this point is important for a successful cardiac ablation procedure. The projection is calculated by solving the inverse problem of electrocardiography, which is the Cauchy problem for the Laplace equation. To solve the inverse problem of electrocardiography the method of boundary integral equations and the method of Tikhonov regularization are used. Examples of the test calculations and results of processing real electrophysiological data are given.
Keywords: cardiac arrhythmias diagnostics, inverse problem of electrocardiography, Cauchy problem for Laplace equation, boundary integral equations method, Tikhonov regularization method, hypersingular integral equations.
Received: 27.10.2011
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 6, Pages 535–540
DOI: https://doi.org/10.1134/S207004821206004X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. M. Denisov, E. V. Zakharov, A. V. Kalinin, “Method for determining projection of the arrhythmogenic focus on a heart surface based on solution of the inverse electrocardiography problem”, Matem. Mod., 24:4 (2012), 22–30; Math. Models Comput. Simul., 4:6 (2012), 535–540
Citation in format AMSBIB
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\by A.~M.~Denisov, E.~V.~Zakharov, A.~V.~Kalinin
\paper Method for determining projection of the arrhythmogenic focus on a heart surface based on solution of the inverse electrocardiography problem
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 4
\pages 22--30
\mathnet{http://mi.mathnet.ru/mm3256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3026832}
\elib{https://elibrary.ru/item.asp?id=21276744}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 6
\pages 535--540
\crossref{https://doi.org/10.1134/S207004821206004X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928991940}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:586
    Full-text PDF :188
    References:85
    First page:21
     
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