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A smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries

This manuscript presents a novel finite difference method to solve cardiac bidomain equations in anatomical models of the heart. The proposed method employs a smoothed boundary approach that represents the boundaries between the heart and the surrounding medium as a spatially diffuse interface of fi...

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Autores principales: Biasi, Niccolò, Seghetti, Paolo, Mercati, Matteo, Tognetti, Alessandro
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10256234/
https://www.ncbi.nlm.nih.gov/pubmed/37294777
http://dx.doi.org/10.1371/journal.pone.0286577
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author Biasi, Niccolò
Seghetti, Paolo
Mercati, Matteo
Tognetti, Alessandro
author_facet Biasi, Niccolò
Seghetti, Paolo
Mercati, Matteo
Tognetti, Alessandro
author_sort Biasi, Niccolò
collection PubMed
description This manuscript presents a novel finite difference method to solve cardiac bidomain equations in anatomical models of the heart. The proposed method employs a smoothed boundary approach that represents the boundaries between the heart and the surrounding medium as a spatially diffuse interface of finite thickness. The bidomain boundary conditions are implicitly implemented in the smoothed boundary bidomain equations presented in the manuscript without the need of a structured mesh that explicitly tracks the heart-torso boundaries. We reported some significant examples assessing the method’s accuracy using nontrivial test geometries and demonstrating the applicability of the method to complex anatomically detailed human cardiac geometries. In particular, we showed that our approach could be employed to simulate cardiac defibrillation in a human left ventricle comprising fiber architecture. The main advantage of the proposed method is the possibility of implementing bidomain boundary conditions directly on voxel structures, which makes it attractive for three dimensional, patient specific simulations based on medical images. Moreover, given the ease of implementation, we believe that the proposed method could provide an interesting and feasible alternative to finite element methods, and could find application in future cardiac research guiding electrotherapy with computational models.
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spelling pubmed-102562342023-06-10 A smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries Biasi, Niccolò Seghetti, Paolo Mercati, Matteo Tognetti, Alessandro PLoS One Research Article This manuscript presents a novel finite difference method to solve cardiac bidomain equations in anatomical models of the heart. The proposed method employs a smoothed boundary approach that represents the boundaries between the heart and the surrounding medium as a spatially diffuse interface of finite thickness. The bidomain boundary conditions are implicitly implemented in the smoothed boundary bidomain equations presented in the manuscript without the need of a structured mesh that explicitly tracks the heart-torso boundaries. We reported some significant examples assessing the method’s accuracy using nontrivial test geometries and demonstrating the applicability of the method to complex anatomically detailed human cardiac geometries. In particular, we showed that our approach could be employed to simulate cardiac defibrillation in a human left ventricle comprising fiber architecture. The main advantage of the proposed method is the possibility of implementing bidomain boundary conditions directly on voxel structures, which makes it attractive for three dimensional, patient specific simulations based on medical images. Moreover, given the ease of implementation, we believe that the proposed method could provide an interesting and feasible alternative to finite element methods, and could find application in future cardiac research guiding electrotherapy with computational models. Public Library of Science 2023-06-09 /pmc/articles/PMC10256234/ /pubmed/37294777 http://dx.doi.org/10.1371/journal.pone.0286577 Text en © 2023 Biasi et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Biasi, Niccolò
Seghetti, Paolo
Mercati, Matteo
Tognetti, Alessandro
A smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries
title A smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries
title_full A smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries
title_fullStr A smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries
title_full_unstemmed A smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries
title_short A smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries
title_sort smoothed boundary bidomain model for cardiac simulations in anatomically detailed geometries
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10256234/
https://www.ncbi.nlm.nih.gov/pubmed/37294777
http://dx.doi.org/10.1371/journal.pone.0286577
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