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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 3, Pages 539–543 (Mi zvmmf4849)  
This article is cited in 5 scientific papers (total in 5 papers)

The inverse problem for mathematical models of heart excitation

A. M. Denisova, V. V. Kalininb

a Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
b Bakulev Scientific Center of Cardiovascular Syrgery, Rublevskoe sh. 135, Moscow, 121552 Russia
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Abstract: The inverse problem for mathematical models of heart excitation is stated; this problem is to determine the initial condition in the initial-boundary value problem for an evolutionary system of partial differential equations given the volume potential whose density is determined by the solution to the evolutionary system. It is proved that the solution of the inverse problem in the generic statement is not unique.
Key words: mathematical models of heart excitation, inverse problem, uniqueness of solution.
Received: 05.10.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 3, Pages 515–518
DOI: https://doi.org/10.1134/S0965542510030127
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. M. Denisov, V. V. Kalinin, “The inverse problem for mathematical models of heart excitation”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 539–543; Comput. Math. Math. Phys., 50:3 (2010), 515–518
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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