Spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.

Regular electrical activation waves in cardiac tissue lead to the rhythmic contraction and expansion of the heart that ensures blood supply to the whole body. Irregularities in the propagation of these activation waves can result in cardiac arrhythmias, like ventricular tachycardia (VT) and ventricu...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	T K Shajahan, Alok Ranjan Nayak, Rahul Pandit
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2009
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/9306586039c041199963d4aeddbfdf47
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:9306586039c041199963d4aeddbfdf47
record_format	dspace
spelling	oai:doaj.org-article:9306586039c041199963d4aeddbfdf472021-11-25T06:16:51ZSpiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.1932-620310.1371/journal.pone.0004738https://doaj.org/article/9306586039c041199963d4aeddbfdf472009-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/19270753/pdf/?tool=EBIhttps://doaj.org/toc/1932-6203Regular electrical activation waves in cardiac tissue lead to the rhythmic contraction and expansion of the heart that ensures blood supply to the whole body. Irregularities in the propagation of these activation waves can result in cardiac arrhythmias, like ventricular tachycardia (VT) and ventricular fibrillation (VF), which are major causes of death in the industrialised world. Indeed there is growing consensus that spiral or scroll waves of electrical activation in cardiac tissue are associated with VT, whereas, when these waves break to yield spiral- or scroll-wave turbulence, VT develops into life-threatening VF: in the absence of medical intervention, this makes the heart incapable of pumping blood and a patient dies in roughly two-and-a-half minutes after the initiation of VF. Thus studies of spiral- and scroll-wave dynamics in cardiac tissue pose important challenges for in vivo and in vitro experimental studies and for in silico numerical studies of mathematical models for cardiac tissue. A major goal here is to develop low-amplitude defibrillation schemes for the elimination of VT and VF, especially in the presence of inhomogeneities that occur commonly in cardiac tissue. We present a detailed and systematic study of spiral- and scroll-wave turbulence and spatiotemporal chaos in four mathematical models for cardiac tissue, namely, the Panfilov, Luo-Rudy phase 1 (LRI), reduced Priebe-Beuckelmann (RPB) models, and the model of ten Tusscher, Noble, Noble, and Panfilov (TNNP). In particular, we use extensive numerical simulations to elucidate the interaction of spiral and scroll waves in these models with conduction and ionic inhomogeneities; we also examine the suppression of spiral- and scroll-wave turbulence by low-amplitude control pulses. Our central qualitative result is that, in all these models, the dynamics of such spiral waves depends very sensitively on such inhomogeneities. We also study two types of control schemes that have been suggested for the control of spiral turbulence, via low amplitude current pulses, in such mathematical models for cardiac tissue; our investigations here are designed to examine the efficacy of such control schemes in the presence of inhomogeneities. We find that a local pulsing scheme does not suppress spiral turbulence in the presence of inhomogeneities; but a scheme that uses control pulses on a spatially extended mesh is more successful in the elimination of spiral turbulence. We discuss the theoretical and experimental implications of our study that have a direct bearing on defibrillation, the control of life-threatening cardiac arrhythmias such as ventricular fibrillation.T K ShajahanAlok Ranjan NayakRahul PanditPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 4, Iss 3, p e4738 (2009)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q T K Shajahan Alok Ranjan Nayak Rahul Pandit Spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.
description	Regular electrical activation waves in cardiac tissue lead to the rhythmic contraction and expansion of the heart that ensures blood supply to the whole body. Irregularities in the propagation of these activation waves can result in cardiac arrhythmias, like ventricular tachycardia (VT) and ventricular fibrillation (VF), which are major causes of death in the industrialised world. Indeed there is growing consensus that spiral or scroll waves of electrical activation in cardiac tissue are associated with VT, whereas, when these waves break to yield spiral- or scroll-wave turbulence, VT develops into life-threatening VF: in the absence of medical intervention, this makes the heart incapable of pumping blood and a patient dies in roughly two-and-a-half minutes after the initiation of VF. Thus studies of spiral- and scroll-wave dynamics in cardiac tissue pose important challenges for in vivo and in vitro experimental studies and for in silico numerical studies of mathematical models for cardiac tissue. A major goal here is to develop low-amplitude defibrillation schemes for the elimination of VT and VF, especially in the presence of inhomogeneities that occur commonly in cardiac tissue. We present a detailed and systematic study of spiral- and scroll-wave turbulence and spatiotemporal chaos in four mathematical models for cardiac tissue, namely, the Panfilov, Luo-Rudy phase 1 (LRI), reduced Priebe-Beuckelmann (RPB) models, and the model of ten Tusscher, Noble, Noble, and Panfilov (TNNP). In particular, we use extensive numerical simulations to elucidate the interaction of spiral and scroll waves in these models with conduction and ionic inhomogeneities; we also examine the suppression of spiral- and scroll-wave turbulence by low-amplitude control pulses. Our central qualitative result is that, in all these models, the dynamics of such spiral waves depends very sensitively on such inhomogeneities. We also study two types of control schemes that have been suggested for the control of spiral turbulence, via low amplitude current pulses, in such mathematical models for cardiac tissue; our investigations here are designed to examine the efficacy of such control schemes in the presence of inhomogeneities. We find that a local pulsing scheme does not suppress spiral turbulence in the presence of inhomogeneities; but a scheme that uses control pulses on a spatially extended mesh is more successful in the elimination of spiral turbulence. We discuss the theoretical and experimental implications of our study that have a direct bearing on defibrillation, the control of life-threatening cardiac arrhythmias such as ventricular fibrillation.
format	article
author	T K Shajahan Alok Ranjan Nayak Rahul Pandit
author_facet	T K Shajahan Alok Ranjan Nayak Rahul Pandit
author_sort	T K Shajahan
title	Spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.
title_short	Spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.
title_full	Spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.
title_fullStr	Spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.
title_full_unstemmed	Spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.
title_sort	spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.
publisher	Public Library of Science (PLoS)
publishDate	2009
url	https://doaj.org/article/9306586039c041199963d4aeddbfdf47
work_keys_str_mv	AT tkshajahan spiralwaveturbulenceanditscontrolinthepresenceofinhomogeneitiesinfourmathematicalmodelsofcardiactissue AT alokranjannayak spiralwaveturbulenceanditscontrolinthepresenceofinhomogeneitiesinfourmathematicalmodelsofcardiactissue AT rahulpandit spiralwaveturbulenceanditscontrolinthepresenceofinhomogeneitiesinfourmathematicalmodelsofcardiactissue
_version_	1718413997464616960

Spiral-wave turbulence and its control in the presence of inhomogeneities in four mathematical models of cardiac tissue.

Ejemplares similares