Department of Physics, Graduate School of Science, Kyoto University and Spatio-temporal Order Project, ICORP JST, Kyoto 606-8502, Japan.
Chaos. 2009 Dec;19(4):043114. doi: 10.1063/1.3263167.
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.
众所周知，螺旋波通常通过锚定到局部非均匀性（“钉扎”）而稳定，并且这种钉扎波很难消除。在本报告中，我们表明，通过与从外部区域到达的波列碰撞，可以消除钉扎的螺旋波，这在 Belousov-Zhabotinsky（BZ）反应以及心肌细胞组织培养中的实验中得到了证实。使用俄勒冈州立大学模型（BZ 反应的数学模型）进行的数值模拟提供了成功解钉的参数区域。通过考虑激励波的曲率效应，根据波列的频散关系讨论了解钉的情况。
