Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation.
Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation.
复制标题
简单心房颤动模型中时间循环单螺旋解的伴随特征函数。
作者：
C. Marcotte;R. Grigoriev
本文介绍了一种计算任意几何条件下反应扩散方程组螺旋波解的伴随（左）本征函数谱的数值方法。该方法是通过计算一百多个特征函数与不稳定的时间周期的单螺旋解的卡玛模型在一个平方域。我们发现，所有领先的伴随特征函数是指数本地化的螺旋尖端附近，虽然边缘模式（响应函数）表现出最强的本地化。我们还讨论了本地化的动力学和控制的不稳定螺旋波的影响。特别是，与无通量边界的相互作用导致螺旋波的漂移，这可以理解的响应函数的帮助下。
This paper introduces a numerical method for computing the spectrum of adjoint (left) eigenfunctions of spiral wave solutions to reaction-diffusion systems in arbitrary geometries. The method is illustrated by computing over a hundred eigenfunctions associated with an unstable time-periodic single-spiral solution of the Karma model on a square domain. We show that all leading adjoint eigenfunctions are exponentially localized in the vicinity of the spiral tip, although the marginal modes (response functions) demonstrate the strongest localization. We also discuss the implications of the localization for the dynamics and control of unstable spiral waves. In particular, the interaction with no-flux boundaries leads to a drift of spiral waves which can be understood with the help of the response functions.
影响因子：
8.6
作者：
Biktashev, V. N.;Barkley, D.;Biktasheva, I. V.
通讯作者：
Biktasheva, I. V.
影响因子：
37.8
作者：
Pastore, JM;Girouard, SD;Rosenbaum, DS
通讯作者：
Rosenbaum, DS
影响因子：
2.4
作者：
Biktasheva, I. V.;Barkley, D.;Foulkes, A. J.
通讯作者：
Foulkes, A. J.