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

Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone.
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缺血边界区域数学模型中的螺旋和滚动波的演变。

DOI:
10.1371/journal.pone.0024388
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发表时间:
2011
期刊:
影响因子:
3.7
通讯作者:
Sarvazyan NA
Sarvazyan NA
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Biktashev VN;Biktasheva IV;Sarvazyan NA

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缺血心肌组织边界的异常电活动被认为是缺血再灌注心律失常发生的主要原因之一。在这里,我们提出了理论分析的波的电活动,可以上升的边界上的心脏细胞网络后,其恢复从缺血样条件。在我们的分析中包括的主要因素是宏观梯度的细胞与细胞的耦合和细胞的兴奋性和微观异质性的个别细胞。这些因素之间的相互作用使人们能够解释螺旋如何形成,与移动边界一起漂移,短暂地固定到局部不均匀性,并最终穿透到大部分耦合良好的组织中,在那里它们达到宏观尺度。基于响应函数的螺旋波和涡卷波漂移的渐近理论解释了这种机制中涉及的漂移,但由于心脏组织的离散性而产生的影响除外。特别是,这种渐近理论允许将2D事件外推到3D,这表明边界区域内的细胞可以产生螺旋的3D类似物,即涡卷波。当这种涡旋波逃逸到耦合更好的组织中时,它们很可能会由于正细丝张力而塌陷。然而,我们的模拟已经表明,新生成的涡卷的这种塌陷不是不可避免的,并且在某些条件下,细丝张力变为负值,导致涡卷细丝扩张和繁殖,从而导致心脏组织的小区域内的纤维化样状态。
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.
DOI: 10.1063/1.3551500
发表时间: 2011-03-01
期刊: CHAOS
影响因子: 2.9
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期刊: PHYSICAL REVIEW E
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