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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 3, Pages 539–543 (Mi zvmmf4849)

This article is cited 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

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.

UDC: 519.634

Received: 05.10.2009


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:3, 515–518

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