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俄勒冈振子模型中螺旋波的负张力不稳定性与温弗里湍流

Negative-tension instability of scroll waves and winfree turbulence in the oregonator model.

作者信息

Alonso S, Sagués F, Mikhailov A S

机构信息

Abteilung Physikalische Chemie, Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany.

出版信息

J Phys Chem A. 2006 Nov 2;110(43):12063-71. doi: 10.1021/jp064155q.

DOI:10.1021/jp064155q
PMID:17064196
Abstract

Excitable media support self-organized scroll waves which can be unstable and give rise to three-dimensional wave chaos. Winfree turbulence of scroll waves results from the negative-tension instability of scroll waves; it plays an important role in the cardiac tissue where it may lead to ventricular fibrillation. By numerical simulations of the Oregonator model, we show that this instability and, thus, the Winfree turbulence may also be observed in the Belousov-Zhabotinsky reaction. The region in the parameter space, where the instability takes place, is determined, and a relationship between the negative-tension instability and the meandering behavior of spiral waves is found. The application of global periodic forcing to control such turbulence in the Oregonator model is discussed.

摘要

可激发介质支持自组织的螺旋波,这种螺旋波可能不稳定并引发三维波混沌。螺旋波的温弗里湍流源于螺旋波的负张力不稳定性;它在心脏组织中起着重要作用,可能导致心室颤动。通过对俄勒冈振子模型的数值模拟,我们表明这种不稳定性以及因此产生的温弗里湍流也可能在贝洛索夫 - 扎博廷斯基反应中观察到。确定了参数空间中发生不稳定性的区域,并发现了负张力不稳定性与螺旋波蜿蜒行为之间的关系。讨论了应用全局周期强迫来控制俄勒冈振子模型中的这种湍流。

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引用本文的文献

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Dynamics of Scroll Wave in a Three-Dimensional System with Changing Gradient.具有变化梯度的三维系统中螺旋波的动力学
PLoS One. 2016 Mar 31;11(3):e0152175. doi: 10.1371/journal.pone.0152175. eCollection 2016.