Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone

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Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone

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dc.contributor.author Biktashev, V. N. en_US
dc.contributor.author Biktasheva, I. V. en_US
dc.contributor.author Sarvazyan, N. A. en_US
dc.date.accessioned 2012-09-28T17:51:29Z en_US
dc.date.accessioned 2013-03-20T12:43:37Z
dc.date.issued 2011 en_US
dc.description.abstract Abnormal electrical activity from the boundaries of ischemic cardiac tissue is recognized as one of the major causes in generation of ischemia-reperfusion arrhythmias. Here we present theoretical analysis of the waves of electrical activity that can rise on the boundary of cardiac cell network upon its recovery from ischaemia-like conditions. The main factors included in our analysis are macroscopic gradients of the cell-to-cell coupling and cell excitability and microscopic heterogeneity of individual cells. The interplay between these factors allows one to explain how spirals form, drift together with the moving boundary, get transiently pinned to local inhomogeneities, and finally penetrate into the bulk of the well-coupled tissue where they reach macroscopic scale. The asymptotic theory of the drift of spiral and scroll waves based on response functions provides explanation of the drifts involved in this mechanism, with the exception of effects due to the discreteness of cardiac tissue. In particular, this asymptotic theory allows an extrapolation of 2D events into 3D, which has shown that cells within the border zone can give rise to 3D analogues of spirals, the scroll waves. When and if such scroll waves escape into a better coupled tissue, they are likely to collapse due to the positive filament tension. However, our simulations have shown that such collapse of newly generated scrolls is not inevitable and that under certain conditions filament tension becomes negative, leading to scroll filaments to expand and multiply leading to a fibrillation-like state within small areas of cardiac tissue. en_US
dc.identifier.citation Vol. 6 (9), article e24388 en_US
dc.identifier.doi 10.1371/journal.pone.0024388 en_US
dc.identifier.doi en_US
dc.identifier.other PONE-D-11-12128 en_US
dc.identifier.uri http://hdl.handle.net/10036/3764 en_US
dc.language.iso eng en_US
dc.publisher Public Library of Science en_US
dc.relation.url http://dx.doi.org/10.1371/journal.pone.0024388 en_US
dc.subject Action Potentials en_US
dc.subject Arrhythmias, Cardiac en_US
dc.subject Heart en_US
dc.subject Humans en_US
dc.subject Models, Cardiovascular en_US
dc.subject Models, Theoretical en_US
dc.subject Myocardial Ischemia en_US
dc.title Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone en_US
dc.date.available 2012-09-28T17:51:29Z en_US
dc.date.available 2013-03-20T12:43:37Z
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.place-of-publication United States en_US
dc.description Copyright: © 2011 Biktashev et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. en_US
dc.description Funding: Engineering and Physical Sciences Research Council, UK (EPSRC) grants EP/D074789/1 and EP/I029664/1, http://www.epsrc.ac.uk (UK) and NIH grants HL095828 and HL076722, http://www.nih.gov (USA). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. en_US
dc.description Journal Article en_US
dc.identifier.journal PLoS One en_US


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