A theory for spiral wave drift in reaction-diffusion-mechanics systems
A theory for spiral wave drift in reaction-diffusion-mechanics systems
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DOI：
10.1088/1367-2630/17/4/043055
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发表时间：
2015-04-27
影响因子：
3.3
通讯作者：
Panfilov, Alexander V.
中科院分区：
文献类型：
--
作者：
Dierckx, Hans;Arens, Sander;Panfilov, Alexander V.
反应扩散力学(RDM)系统描述了一系列重要的实际现象，其中变形对波动和涡旋动力学有很大的影响。在这里，我们发展了第一个理论来描述旋转螺旋波在RDM系统中的动力学，将响应函数理论与机械格林函数相结合。该理论将机械诱导的螺旋波漂移解释为一种共振现象，它可以根据系统的可测量特性来预测漂移轨迹和最终吸引子。数值模拟证实了理论预测的正确性。这一结果可以应用于心脏组织，在那里螺旋波的漂移是确定不同类型心律失常的重要因素。
Reaction-diffusion mechanics (RDM) systems describe a wide range of practically important phenomena where deformation substantially affects wave and vortex dynamics. Here, we develop the first theory to describe the dynamics of rotating spiral waves in RDM systems, combining response function theory with a mechanical Green's function. This theory explains the mechanically-induced drift of spiral waves as a resonance phenomenon, and it can predict the drift trajectories and the final attractors from measurable characteristics of the system. Theoretical predictions are confirmed by numerical simulations. The results can be applied to cardiac tissue, where the drift of spiral waves is an important factor in determining different types of cardiac arrhythmias.