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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| Veröffentlicht in: | PloS one 2014-05, Vol.9 (5), p.e93617-e93617 |
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| creator | Pravdin, Sergey F Dierckx, Hans Katsnelson, Leonid B Solovyova, Olga Markhasin, Vladimir S Panfilov, Alexander V |
| 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. |
| doi_str_mv | 10.1371/journal.pone.0093617 |
| format | Article |
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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.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0093617</identifier><identifier>PMID: 24817308</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Algorithms ; Analysis ; Anisotropy ; Astronomy ; Biology and Life Sciences ; Biophysics ; Cardiac arrhythmia ; Cardiology ; Cardiovascular Physiological Phenomena ; Computer and Information Sciences ; Computer Simulation ; Dynamic tests ; Electric Conductivity ; Electrical resistivity ; Endocardium - anatomy & histology ; Endocardium - cytology ; Endocardium - physiology ; Fibrillation ; Geometry ; Heart ; Heart - anatomy & histology ; Heart - physiology ; Heart diseases ; Humans ; Immunology ; Interdisciplinary aspects ; Laboratories ; Mathematical models ; Medicine and Health Sciences ; Models, Cardiovascular ; Molecular biology ; Myocytes, Cardiac - physiology ; Pericardium - anatomy & histology ; Pericardium - cytology ; Pericardium - physiology ; Physical Sciences ; Physics ; Physiology ; Propagation ; Rotation ; Studies ; Ventricle ; Ventricular fibrillation ; Ventricular Fibrillation - pathology ; Ventricular Fibrillation - physiopathology ; Ventricular Function, Left - physiology ; Vortices ; Wave propagation</subject><ispartof>PloS one, 2014-05, Vol.9 (5), p.e93617-e93617</ispartof><rights>COPYRIGHT 2014 Public Library of Science</rights><rights>2014 Pravdin et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. 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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.</description><subject>Algorithms</subject><subject>Analysis</subject><subject>Anisotropy</subject><subject>Astronomy</subject><subject>Biology and Life Sciences</subject><subject>Biophysics</subject><subject>Cardiac arrhythmia</subject><subject>Cardiology</subject><subject>Cardiovascular Physiological Phenomena</subject><subject>Computer and Information Sciences</subject><subject>Computer Simulation</subject><subject>Dynamic tests</subject><subject>Electric Conductivity</subject><subject>Electrical resistivity</subject><subject>Endocardium - anatomy & histology</subject><subject>Endocardium - cytology</subject><subject>Endocardium - physiology</subject><subject>Fibrillation</subject><subject>Geometry</subject><subject>Heart</subject><subject>Heart - anatomy & histology</subject><subject>Heart - physiology</subject><subject>Heart diseases</subject><subject>Humans</subject><subject>Immunology</subject><subject>Interdisciplinary aspects</subject><subject>Laboratories</subject><subject>Mathematical models</subject><subject>Medicine and Health Sciences</subject><subject>Models, Cardiovascular</subject><subject>Molecular biology</subject><subject>Myocytes, Cardiac - physiology</subject><subject>Pericardium - anatomy & histology</subject><subject>Pericardium - cytology</subject><subject>Pericardium - physiology</subject><subject>Physical Sciences</subject><subject>Physics</subject><subject>Physiology</subject><subject>Propagation</subject><subject>Rotation</subject><subject>Studies</subject><subject>Ventricle</subject><subject>Ventricular fibrillation</subject><subject>Ventricular Fibrillation - pathology</subject><subject>Ventricular Fibrillation - 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anatomy & histology</topic><topic>Endocardium - cytology</topic><topic>Endocardium - physiology</topic><topic>Fibrillation</topic><topic>Geometry</topic><topic>Heart</topic><topic>Heart - anatomy & histology</topic><topic>Heart - physiology</topic><topic>Heart diseases</topic><topic>Humans</topic><topic>Immunology</topic><topic>Interdisciplinary aspects</topic><topic>Laboratories</topic><topic>Mathematical models</topic><topic>Medicine and Health Sciences</topic><topic>Models, Cardiovascular</topic><topic>Molecular biology</topic><topic>Myocytes, Cardiac - physiology</topic><topic>Pericardium - anatomy & histology</topic><topic>Pericardium - cytology</topic><topic>Pericardium - physiology</topic><topic>Physical Sciences</topic><topic>Physics</topic><topic>Physiology</topic><topic>Propagation</topic><topic>Rotation</topic><topic>Studies</topic><topic>Ventricle</topic><topic>Ventricular fibrillation</topic><topic>Ventricular Fibrillation - pathology</topic><topic>Ventricular Fibrillation - 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Academic</collection><collection>PubMed Central (Full Participant titles)</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>PloS one</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pravdin, Sergey F</au><au>Dierckx, Hans</au><au>Katsnelson, Leonid B</au><au>Solovyova, Olga</au><au>Markhasin, Vladimir S</au><au>Panfilov, Alexander V</au><au>Talkachova, Alena</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture</atitle><jtitle>PloS one</jtitle><addtitle>PLoS One</addtitle><date>2014-05-09</date><risdate>2014</risdate><volume>9</volume><issue>5</issue><spage>e93617</spage><epage>e93617</epage><pages>e93617-e93617</pages><issn>1932-6203</issn><eissn>1932-6203</eissn><abstract>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.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>24817308</pmid><doi>10.1371/journal.pone.0093617</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Algorithms Analysis Anisotropy Astronomy Biology and Life Sciences Biophysics Cardiac arrhythmia Cardiology Cardiovascular Physiological Phenomena Computer and Information Sciences Computer Simulation Dynamic tests Electric Conductivity Electrical resistivity Endocardium - anatomy & histology Endocardium - cytology Endocardium - physiology Fibrillation Geometry Heart Heart - anatomy & histology Heart - physiology Heart diseases Humans Immunology Interdisciplinary aspects Laboratories Mathematical models Medicine and Health Sciences Models, Cardiovascular Molecular biology Myocytes, Cardiac - physiology Pericardium - anatomy & histology Pericardium - cytology Pericardium - physiology Physical Sciences Physics Physiology Propagation Rotation Studies Ventricle Ventricular fibrillation Ventricular Fibrillation - pathology Ventricular Fibrillation - physiopathology Ventricular Function, Left - physiology Vortices Wave propagation |
| title | Electrical wave propagation in an anisotropic model of the left ventricle based on analytical description of cardiac architecture |
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