Unpinning of a spiral wave anchored around a circular obstacle by an external wave train: common aspects of a chemical reaction and cardiomyocyte tissue.
Unpinning of a spiral wave anchored around a circular obstacle by an external wave train: common aspects of a chemical reaction and cardiomyocyte tissue.
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DOI：
10.1063/1.3263167
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发表时间：
2009-11
期刊：
影响因子：
2.9
通讯作者：
Masanobu Tanaka;Akihiro Isomura;M. Hörning;H. Kitahata;K. Agladze;K. Yoshikawa
中科院分区：
文献类型：
--
作者：
Masanobu Tanaka;Akihiro Isomura;M. Hörning;H. Kitahata;K. Agladze;K. Yoshikawa
众所周知，螺旋波通常通过锚定到局部不均匀性（“钉扎”）来稳定，并且这种钉扎波相当难以消除。在本报告中，我们表明，钉扎螺旋波可以消除通过碰撞与波列到达从外部区域，证实在实验中的Belousov-Zhabotinsky（BZ）反应，以及在心肌细胞组织培养。采用BZ反应的数学模型Oregonator进行数值模拟，为成功脱钉提供了参数区域。考虑到激发波的曲率效应，从波列的色散关系出发讨论了非钉扎的情形。
It is well known that spiral waves are often stabilized by anchoring to a local heterogeneity ("pinning") and that such pinned waves are rather difficult to eliminate. In the present report, we show that pinned spiral waves can be eliminated through collision with a wave train arriving from the outer region, as confirmed in experiments on the Belousov-Zhabotinsky (BZ) reaction as well as in cardiomyocyte tissue culture. A numerical simulation using the Oregonator, a mathematical model for the BZ reaction, provides the parameter area for successful unpinning. The scenario of unpinning is discussed in terms of the dispersion relation of the wave train by taking into account the curvature effect of the excitation wave.