Predicting filament drift in twisted anisotropy.
Predicting filament drift in twisted anisotropy.
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DOI：
10.1103/physreve.61.1845
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发表时间：
2000-02
期刊：
影响因子：
--
通讯作者：
M. Wellner;Omer Berenfeld;A. Pertsov
中科院分区：
文献类型：
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作者：
M. Wellner;Omer Berenfeld;A. Pertsov
具有扭曲各向异性的可激发介质由于其在心脏组织中波传播的适用性，近年来引起了人们极大的兴趣。在这里，我们考虑一个内部涡旋波的动力学，其丝最初位于相互平行的心脏纤维的任意层内，并在层到层之间平行漂移。早期的模拟已经证明，这种长丝在纤维方向与其自身相同的层中稳定。本文用解析法推导出了细丝的运动轨迹，得到的结果与前人的数值数据吻合较好。对于足够稀疏的卷轴，我们的分析预测了垂直于纤维而不是平行于纤维的平衡排列。
Excitable media with twisted anisotropy have recently been attracting significant interest because of their applicability to wave propagation in heart tissue. Here we consider the dynamics of an intramural scroll wave whose filament lies initially within an arbitrary layer of mutually parallel cardiac fibers, and drifts parallel to itself from layer to layer. Earlier simulations have demonstrated that such a filament stabilizes in a layer whose fiber direction is the same as its own. In the present paper we analytically derive the trajectory of the filament, and obtain good agreement with earlier numerical data. For sufficiently sparse scrolls, our analysis predicts an equilibrium alignment perpendicular rather than parallel to the fibers.