Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture.

We develop a numerical approach based on our recent analytical model of fiber structure in the left ventricle of the human heart. A special curvilinear coordinate system is proposed to analytically include realistic ventricular shape and myofiber directions. With this anatomical model, electrophysio...

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Main Authors: Sergey F Pravdin, Hans Dierckx, Leonid B Katsnelson, Olga Solovyova, Vladimir S Markhasin, Alexander V Panfilov
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2014-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4015904?pdf=render
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author Sergey F Pravdin
Hans Dierckx
Leonid B Katsnelson
Olga Solovyova
Vladimir S Markhasin
Alexander V Panfilov
author_facet Sergey F Pravdin
Hans Dierckx
Leonid B Katsnelson
Olga Solovyova
Vladimir S Markhasin
Alexander V Panfilov
author_sort Sergey F Pravdin
collection DOAJ
description We develop a numerical approach based on our recent analytical model of fiber structure in the left ventricle of the human heart. A special curvilinear coordinate system is proposed to analytically include realistic ventricular shape and myofiber directions. With this anatomical model, electrophysiological simulations can be performed on a rectangular coordinate grid. We apply our method to study the effect of fiber rotation and electrical anisotropy of cardiac tissue (i.e., the ratio of the conductivity coefficients along and across the myocardial fibers) on wave propagation using the ten Tusscher-Panfilov (2006) ionic model for human ventricular cells. We show that fiber rotation increases the speed of cardiac activation and attenuates the effects of anisotropy. Our results show that the fiber rotation in the heart is an important factor underlying cardiac excitation. We also study scroll wave dynamics in our model and show the drift of a scroll wave filament whose velocity depends non-monotonically on the fiber rotation angle; the period of scroll wave rotation decreases with an increase of the fiber rotation angle; an increase in anisotropy may cause the breakup of a scroll wave, similar to the mother rotor mechanism of ventricular fibrillation.
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spelling doaj.art-41a5b583efdd4d11bc91bf4bd50397ce2022-12-22T03:33:36ZengPublic Library of Science (PLoS)PLoS ONE1932-62032014-01-0195e9361710.1371/journal.pone.0093617Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture.Sergey F PravdinHans DierckxLeonid B KatsnelsonOlga SolovyovaVladimir S MarkhasinAlexander V PanfilovWe develop a numerical approach based on our recent analytical model of fiber structure in the left ventricle of the human heart. A special curvilinear coordinate system is proposed to analytically include realistic ventricular shape and myofiber directions. With this anatomical model, electrophysiological simulations can be performed on a rectangular coordinate grid. We apply our method to study the effect of fiber rotation and electrical anisotropy of cardiac tissue (i.e., the ratio of the conductivity coefficients along and across the myocardial fibers) on wave propagation using the ten Tusscher-Panfilov (2006) ionic model for human ventricular cells. We show that fiber rotation increases the speed of cardiac activation and attenuates the effects of anisotropy. Our results show that the fiber rotation in the heart is an important factor underlying cardiac excitation. We also study scroll wave dynamics in our model and show the drift of a scroll wave filament whose velocity depends non-monotonically on the fiber rotation angle; the period of scroll wave rotation decreases with an increase of the fiber rotation angle; an increase in anisotropy may cause the breakup of a scroll wave, similar to the mother rotor mechanism of ventricular fibrillation.http://europepmc.org/articles/PMC4015904?pdf=render
spellingShingle Sergey F Pravdin
Hans Dierckx
Leonid B Katsnelson
Olga Solovyova
Vladimir S Markhasin
Alexander V Panfilov
Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture.
PLoS ONE
title Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture.
title_full Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture.
title_fullStr Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture.
title_full_unstemmed Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture.
title_short Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture.
title_sort electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture
url http://europepmc.org/articles/PMC4015904?pdf=render
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AT leonidbkatsnelson electricalwavepropagationinananisotropicmodeloftheleftventriclebasedonanalyticaldescriptionofcardiacarchitecture
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