Regularization of the inverse problem in electrocardiography: A model study

DOI10.1016/0025-5564(88)90113-7zbMath0641.92002OpenAlexW2079961943MaRDI QIDQ1101028

Barbara J. Messinger-Rapport, Yoram Rudy

Publication date: 1988

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(88)90113-7

zbMATH Keywords

errorsnoiseinverse problemtransfer matrixboundary-element methodregularization techniquesbody surface potentialsanalytic, eccentric-spheres modelconductivitieselectro-cardiographyepicardial potentialsheart positionheart sizeinverse-recovered epicardial potentialTikhonov family

Mathematics Subject Classification ID

Medical applications (general) (92C50) Computational methods for problems pertaining to biology (92-08)

Related Items (8)

Nonuniform spatial mesh adaptation using a posteriori error estimates: Applications to forward and inverse problems ⋮ The inverse problem of electrocardiography: A solution in terms of single- and double-layer sources on the epicardial surface ⋮ The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications ⋮ A model study of instability of the inverse problem in electrocardiography ⋮ The inverse problem in electrocardiography on a spherical model ⋮ Identification of weakly coupled multiphysics problems. application to the inverse problem of electrocardiography ⋮ Computational issues of importance to the inverse recovery of epicardial potentials in a realistic heart-torso geometry ⋮ Inverse electrocardiographic transformations: Dependence on the number of epicardial regions and body surface data points

Uses Software

• IMSL Numerical Libraries

Cites Work

• A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data
• Finite element approximation of regularized solutions of the inverse potential problem of electrocardiography and applications to experimental data
• An Application of the Wiener-Kolmogorov Smoothing Theory to Matrix Inversion
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• On the Numerical Solution of Fredholm Integral Equations of the First Kind by the Inversion of the Linear System Produced by Quadrature
• Effect of conductivity interfaces in electrocardiography
• Variational Problems Involving Functional Differential Equations
• Minimum-RMS Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind
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