A method to compute the electric field vector on the surface of the cardiac muscle

DOI10.1007/S10598-012-9125-2zbMath1254.92022OpenAlexW2070709414MaRDI QIDQ1929323

E. V. Zakharov, A. V. Kalinin

Publication date: 7 January 2013

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-012-9125-2

zbMATH Keywords

singular integralboundary integral equation methodhypersingular integralinverse problem of electrocardiographypotential gradient

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Biophysics (92C05) Physiology (general) (92C30) Computational methods for problems pertaining to biology (92-08)

Uses Software

• BEAN

Cites Work

• Numerical solution of the inverse electrocardiography problem with the use of the Tikhonov regularization method
• Numerical methods for some inverse problems of heart electrophysiology
• Integral equations with Hadamard kernels in diffraction problems
• 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
• Numerical solution of an inverse electrocardiography problem for a medium with piecewise constant electrical conductivity
• Symmetric Galerkin Boundary Element Method

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