Computational issues of importance to the inverse recovery of epicardial potentials in a realistic heart-torso geometry

DOI10.1016/0025-5564(89)90044-8zbMath0679.92004OpenAlexW2090143861WikidataQ51656118 ScholiaQ51656118MaRDI QIDQ1823179

Barbara J. Messinger-Rapport, Yoram Rudy

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0025-5564(89)90044-8

zbMATH Keywords

boundary element methodTikhonov regularizationelectrocardiographyill-posed inverse problembody surface potentialseccentric spheres modelepicardial cage potentialsestimating heart position

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Medical applications (general) (92C50) Computational methods for problems pertaining to biology (92-08)

Related Items (4)

Shape reconstruction of cardiac ischemia from non-contact intracardiac recordings: a model study ⋮ A model study of instability of the inverse problem in electrocardiography ⋮ The inverse problem in electrocardiography on a spherical model ⋮ Improving Tikhonov regularization with linearly constrained optimization: Application to the inverse epicardial potential solution

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
• Regularization of the inverse problem in electrocardiography: A model study
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• 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
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• Restart procedures for the conjugate gradient method
• 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
• Function minimization by conjugate gradients
• A Comparison of Several Current Optimization Methods, and the use of Transformations in Constrained Problems
• Effect of conductivity interfaces in electrocardiography
• Minimum-RMS Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind
• A frontal solution program for finite element analysis
• Unnamed Item
• Unnamed Item

This page was built for publication: Computational issues of importance to the inverse recovery of epicardial potentials in a realistic heart-torso geometry