Rohlf Katrin, Glass Leon, Kapral Raymond
Department of Mathematics, Ryerson University, 350 Victoria Street, Toronto, Ontario M5B 2K3, Canada.
Chaos. 2006 Sep;16(3):037115. doi: 10.1063/1.2346237.
We describe the spatial and temporal organization of spiral and scroll waves in spherical shells of different sizes and solid spheres. We present simulation results for the evolution of the dynamics and clustering of spiral waves as a function of the excitability of the medium. The excitability, topology, and size of the domain places restrictions on how single and multiarmed spiral waves are organized in space. The results in spherical geometries are compared with those in planar two-dimensional media. These studies are relevant to the dynamics of spiral waves in a variety of media including the heart, and chemical reactions on spherical surfaces.
我们描述了不同大小的球壳和实心球中螺旋波和卷轴波的时空组织。我们给出了作为介质兴奋性函数的螺旋波动力学演化和聚类的模拟结果。域的兴奋性、拓扑结构和大小对单臂和多臂螺旋波在空间中的组织方式施加了限制。将球形几何结构中的结果与平面二维介质中的结果进行了比较。这些研究与包括心脏在内的各种介质中的螺旋波动力学以及球面上的化学反应相关。
