Electrocardiographic imaging: a comparison of iterative solvers

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  • dc.contributor.author Borràs Argemí, Marta
  • dc.contributor.author Chamorro Servent, Judit
  • dc.date.accessioned 2021-03-29T08:32:44Z
  • dc.date.available 2021-03-29T08:32:44Z
  • dc.date.issued 2021
  • dc.description.abstract Cardiac disease is a leading cause of morbidity and mortality in developed countries. Currently, non-invasive techniques that can identify patients at risk and provide accurate diagnosis and ablation guidance therapy are under development. One of these is electrocardiographic imaging (ECGI). In ECGI, the first step is to formulate a forward problem that relates the unknown potential sources on the cardiac surface to the measured body surface potentials. Then, the unknown potential sources on the cardiac surface are reconstructed through the solution of an inverse problem. Unfortunately, ECGI still lacks accuracy due to the underlying inverse problem being ill-posed, and this consequently imposes limitations on the understanding and treatment of many cardiac diseases. Therefore, it is necessary to improve the solution of the inverse problem. In this work, we transfer and adapt four inverse problem methods to the ECGI setting: algebraic reconstruction technique (ART), random ART, ART Split Bregman (ART-SB) and range restricted generalized minimal residual (RRGMRES) method. We test all these methods with data from the Experimental Data and Geometric Analysis Repository (EDGAR) and compare their solution with the recorded epicardial potentials provided by EDGAR and a generalized minimal residual (GMRES) iterative method computed solution. Activation maps are also computed and compared. The results show that ART achieved the most stable solutions and, for some datasets, returned the best reconstruction. Differences between the solutions derived from ART and random ART are almost negligible, and the accuracy of their solutions is followed by RRGMRES, ART-SB and finally the GMRES (which returned the worst reconstructions). The RRGMRES method provided the best reconstruction for some datasets but appeared to be less stable than ART when comparing different datasets. In conclusion, we show that the proposed methods (ART, random ART, and RRGMRES) improve the GMRES solution, which has been suggested as inverse problem solution for ECGI.
  • dc.description.sponsorship This work compiles part of the master’s thesis of MB, JC-S could supervise this thesis thanks to the funded project from the European Union’s Horizon 2020 Research and Innovation Program under the Marie Skłodowska-Curie grant agreement no. 794370.
  • dc.format.mimetype application/pdf
  • dc.identifier.citation Borràs M, Chamorro-Servent J. Electrocardiographic imaging: a comparison of iterative solvers. Front Physiol. 2021 Feb 3;12:620250. DOI: 10.3389/fphys.2021.620250
  • dc.identifier.doi http://dx.doi.org/10.3389/fphys.2021.620250
  • dc.identifier.issn 1664-1078
  • dc.identifier.uri http://hdl.handle.net/10230/46975
  • dc.language.iso eng
  • dc.publisher Frontiers
  • dc.relation.ispartof Frontiers in Physiology. 2021 Feb 3;12:620250
  • dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/794370
  • dc.rights © 2021 Borràs and Chamorro-Servent. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) https://creativecommons.org/licenses/by/4.0/. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
  • dc.rights.accessRights info:eu-repo/semantics/openAccess
  • dc.rights.uri https://creativecommons.org/licenses/by/4.0/
  • dc.subject.keyword Inverse problem
  • dc.subject.keyword ECGI
  • dc.subject.keyword Iterative methods
  • dc.subject.keyword MFS
  • dc.subject.keyword ART-SB
  • dc.subject.keyword GMRES
  • dc.subject.keyword RRGMRES
  • dc.subject.keyword ART
  • dc.title Electrocardiographic imaging: a comparison of iterative solvers
  • dc.type info:eu-repo/semantics/article
  • dc.type.version info:eu-repo/semantics/publishedVersion