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Numerical solution of an inverse electrocardiography problem for a medium with piecewise constant electrical conductivity

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Abstract

A numerical method is proposed for solving an inverse electrocardiography problem for a medium with a piecewise constant electrical conductivity. The method is based on the method of boundary integral equations and Tikhonov regularization.

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References

  1. R. C. Barr and M. S. Spach, “Inverse Solutions Directly in Terms of Potentials,” in “The Theoretical Basis of Electrocardiography,” Ed. by C. V. Nelson and D. B. Geselowitz (Clarendon Press, Oxford 1976; Meditsina, Moscow, 1979).

    Google Scholar 

  2. L. A. Bokeriya, V. V. Shakin, G. V. Mirskii, and I. P. Polyakova, Numerical Methods for Electrophysiological Assessment of the Heart State (Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1987) [in Russian].

    Google Scholar 

  3. A. M. Denisov, E. V. Zakharov, A. V. Kalinin, and V. V. Kalinin, “Numerical Solution of the Inverse Electrocardiography Problem with the Use of the Tikhonov Regularization Method,” Vestn. Mosk. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 2, 5–10 (2008) [Moscow Univ. Comput. Math. Cybern. 32, 61–68 (2008)].

  4. A. M. Denisov, E. V. Zakharov, A. V. Kalinin, and V. V. Kalinin, “Numerical Methods for Some Inverse Problems of Heart Electrophysiology,” Differ. Uravn. 45, 1014–1022 (2009) [Differ. Equations 45, 1034–1043 (2009)].

    MathSciNet  Google Scholar 

  5. E. V. Zakharov and A. V. Kalinin, “Method of Boundary Integral Equations as Applied to the Numerical Solution of the Three-Dimensional Dirichlet Problem for the Laplace Equation in a Piecewise Homogeneous Medium,” Zh. Vychisl. Mat. Mat. Fiz. 49, 1197–1206 (2009) [Comput. Math. Math. Phys. 49, 1141–1150 (2009)].

    MathSciNet  Google Scholar 

  6. A. N. Tikhonov and V. Ya. Arsenin, Solutions of Ill-Posed Problems (Halsted, New York, 1977; Nauka, Moscow, 1986).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

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

Authors
  1. A. M. Denisov
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  2. E. V. Zakharov
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  3. A. V. Kalinin
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  4. V. V. Kalinin
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Correspondence to A. M. Denisov.

Additional information

Original Russian Text © A.M. Denisov, E.V. Zakharov, A.V. Kalinin, V.V. Kalinin, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 7, pp. 1233–1239.

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Denisov, A.M., Zakharov, E.V., Kalinin, A.V. et al. Numerical solution of an inverse electrocardiography problem for a medium with piecewise constant electrical conductivity. Comput. Math. and Math. Phys. 50, 1172–1177 (2010). https://doi.org/10.1134/S0965542510070067

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  • DOI: https://doi.org/10.1134/S0965542510070067

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