Localization of magnetocardiographic sources for myocardial infarction cases using deterministic and Bayesian approaches

Abstract In this paper, the inverse problems of cardiac sources using analytical and probabilistic methods are solved and discussed. The standard Tikhonov regularization technique is solved initially to estimate the under-determined heart surface potentials from Magnetocardiographic (MCG) signals. T...

Full description

Bibliographic Details
Main Authors: Vikas R. Bhat, Basudha Pal, H. Anitha, Ananthakrishna Thalengala
Format: Article
Language:English
Published: Nature Portfolio 2022-12-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-25919-3
_version_ 1797977461665824768
author Vikas R. Bhat
Basudha Pal
H. Anitha
Ananthakrishna Thalengala
author_facet Vikas R. Bhat
Basudha Pal
H. Anitha
Ananthakrishna Thalengala
author_sort Vikas R. Bhat
collection DOAJ
description Abstract In this paper, the inverse problems of cardiac sources using analytical and probabilistic methods are solved and discussed. The standard Tikhonov regularization technique is solved initially to estimate the under-determined heart surface potentials from Magnetocardiographic (MCG) signals. The results of the deterministic method subjected to noise in the measurements are discussed and compared with the probabilistic models. Hierarchical Bayesian modeling with fixed Gaussian prior is employed to quantify the uncertainties in source reconstructions. A novel application of Variational Bayesian inference approach has been presented to estimate the heart sources. The reconstruction results of Variational Bayesian model with non-stationary priors are compared with solutions of simplistic Bayesian approach; and the performances are evaluated using Root Mean Square Error (RMSE) and correlation co-efficient metrics. The Bayesian solutions in the study are also extended to localize the MCG sources for two types of Myocardial infarction cases.
first_indexed 2024-04-11T05:07:16Z
format Article
id doaj.art-41dbbe3b8a6242b69de3d8c9e2d9233c
institution Directory Open Access Journal
issn 2045-2322
language English
last_indexed 2024-04-11T05:07:16Z
publishDate 2022-12-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj.art-41dbbe3b8a6242b69de3d8c9e2d9233c2022-12-25T12:13:02ZengNature PortfolioScientific Reports2045-23222022-12-0112111610.1038/s41598-022-25919-3Localization of magnetocardiographic sources for myocardial infarction cases using deterministic and Bayesian approachesVikas R. Bhat0Basudha Pal1H. Anitha2Ananthakrishna Thalengala3Department of Biomedical Engineering, Manipal Institute of Technology, Manipal Academy of Higher Education (MAHE)Department of Electronics and Communication Engineering, Manipal Institute of Technology, Manipal Academy of Higher Education (MAHE)Department of Electronics and Communication Engineering, Manipal Institute of Technology, Manipal Academy of Higher Education (MAHE)Department of Electronics and Communication Engineering, Manipal Institute of Technology, Manipal Academy of Higher Education (MAHE)Abstract In this paper, the inverse problems of cardiac sources using analytical and probabilistic methods are solved and discussed. The standard Tikhonov regularization technique is solved initially to estimate the under-determined heart surface potentials from Magnetocardiographic (MCG) signals. The results of the deterministic method subjected to noise in the measurements are discussed and compared with the probabilistic models. Hierarchical Bayesian modeling with fixed Gaussian prior is employed to quantify the uncertainties in source reconstructions. A novel application of Variational Bayesian inference approach has been presented to estimate the heart sources. The reconstruction results of Variational Bayesian model with non-stationary priors are compared with solutions of simplistic Bayesian approach; and the performances are evaluated using Root Mean Square Error (RMSE) and correlation co-efficient metrics. The Bayesian solutions in the study are also extended to localize the MCG sources for two types of Myocardial infarction cases.https://doi.org/10.1038/s41598-022-25919-3
spellingShingle Vikas R. Bhat
Basudha Pal
H. Anitha
Ananthakrishna Thalengala
Localization of magnetocardiographic sources for myocardial infarction cases using deterministic and Bayesian approaches
Scientific Reports
title Localization of magnetocardiographic sources for myocardial infarction cases using deterministic and Bayesian approaches
title_full Localization of magnetocardiographic sources for myocardial infarction cases using deterministic and Bayesian approaches
title_fullStr Localization of magnetocardiographic sources for myocardial infarction cases using deterministic and Bayesian approaches
title_full_unstemmed Localization of magnetocardiographic sources for myocardial infarction cases using deterministic and Bayesian approaches
title_short Localization of magnetocardiographic sources for myocardial infarction cases using deterministic and Bayesian approaches
title_sort localization of magnetocardiographic sources for myocardial infarction cases using deterministic and bayesian approaches
url https://doi.org/10.1038/s41598-022-25919-3
work_keys_str_mv AT vikasrbhat localizationofmagnetocardiographicsourcesformyocardialinfarctioncasesusingdeterministicandbayesianapproaches
AT basudhapal localizationofmagnetocardiographicsourcesformyocardialinfarctioncasesusingdeterministicandbayesianapproaches
AT hanitha localizationofmagnetocardiographicsourcesformyocardialinfarctioncasesusingdeterministicandbayesianapproaches
AT ananthakrishnathalengala localizationofmagnetocardiographicsourcesformyocardialinfarctioncasesusingdeterministicandbayesianapproaches