Nonequilibrium arrhythmic states and transitions in a mathematical model for diffuse fibrosis in human cardiac tissue.
Nonequilibrium arrhythmic states and transitions in a mathematical model for diffuse fibrosis in human cardiac tissue.
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人体心脏组织弥漫性纤维化数学模型中的非平衡心律失常状态和转变。
DOI：
10.1371/journal.pone.0045040
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发表时间：
2012
期刊：
影响因子：
3.7
通讯作者：
Pandit R
中科院分区：
文献类型：
--
作者：
Majumder R;Nayak AR;Pandit R
我们在具有纤维旋转、跨壁异质性、肌细胞和成纤维细胞的人类心室组织的最先进数学模型中对螺旋波和滚动波动力学进行了全面的数值研究。我们的数学模型在人类心室组织的十个 Tusscher-Noble-Noble-Panfilov (TNNP) 模型中随机引入成纤维细胞，以模拟弥漫性纤维化；我们模型中的被动成纤维细胞在不与肌细胞耦合的情况下不表现出动作电位；我们允许附近的肌细胞和成纤维细胞之间发生耦合。我们对单个肌细胞-成纤维细胞（MF）复合材料的研究，其中单个肌细胞通过间隙连接电导与成纤维细胞偶联，揭示了该复合材料的五种性质不同的反应。我们对心肌细胞背景中成纤维细胞随机分布的二维域的研究表明，随着成纤维细胞百分比的增加，平面波的传导速度降低，直至传导失败。如果我们考虑这种介质中的螺旋波动力学，我们会发现在二维中存在各种非平衡态，时间周期性的、准周期性的、混沌的和静止的，以及它们之间复杂的转变序列；我们还研究了三维版本的数学模型中三维滚动波的类似转变序列，其中包括纤维旋转和跨壁异质性。因此，我们阐明了随机纤维化引起的非平衡转变，这导致二维螺旋波和三维滚动波的传导阻滞。我们探索了我们的数学和数值研究对纤维化心脏组织的平面波、螺旋波和滚动波动力学的可能的实验意义。
We present a comprehensive numerical study of spiral-and scroll-wave dynamics in a state-of-the-art mathematical model for human ventricular tissue with fiber rotation, transmural heterogeneity, myocytes, and fibroblasts. Our mathematical model introduces fibroblasts randomly, to mimic diffuse fibrosis, in the ten Tusscher-Noble-Noble-Panfilov (TNNP) model for human ventricular tissue; the passive fibroblasts in our model do not exhibit an action potential in the absence of coupling with myocytes; and we allow for a coupling between nearby myocytes and fibroblasts. Our study of a single myocyte-fibroblast (MF) composite, with a single myocyte coupled to fibroblasts via a gap-junctional conductance , reveals five qualitatively different responses for this composite. Our investigations of two-dimensional domains with a random distribution of fibroblasts in a myocyte background reveal that, as the percentage of fibroblasts increases, the conduction velocity of a plane wave decreases until there is conduction failure. If we consider spiral-wave dynamics in such a medium we find, in two dimensions, a variety of nonequilibrium states, temporally periodic, quasiperiodic, chaotic, and quiescent, and an intricate sequence of transitions between them; we also study the analogous sequence of transitions for three-dimensional scroll waves in a three-dimensional version of our mathematical model that includes both fiber rotation and transmural heterogeneity. We thus elucidate random-fibrosis-induced nonequilibrium transitions, which lead to conduction block for spiral waves in two dimensions and scroll waves in three dimensions. We explore possible experimental implications of our mathematical and numerical studies for plane-, spiral-, and scroll-wave dynamics in cardiac tissue with fibrosis.
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影响因子：
2.9
作者：
Biktashev, VN;Holden, AV
通讯作者：
Holden, AV
影响因子：
64.8
作者：
Gray, RA;Pertsov, AM;Jalife, J
通讯作者：
Jalife, J
影响因子：
56.9
作者：
GRAY, RA;JALIFE, J;PERTSOV, AM
通讯作者：
PERTSOV, AM
DOI：
10.1152/ajpheart.00907.2009
发表时间：
2010-08-01
影响因子：
4.8
作者：
Bondarenko, Vladimir E.;Rasmusson, Randall L.
通讯作者：
Rasmusson, Randall L.
影响因子：
24
作者：
Assomull, Ravi G.;Prasad, Sanjay K.;Pennell, Dudley J.
通讯作者：
Pennell, Dudley J.