PMID: 15244920Jul 13, 2004Paper

Attraction of spiral waves by localized inhomogeneities with small-world connections in excitable media

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Xiaonan WangQ Ouyang

Abstract

Trapping and untrapping of spiral tips in a two-dimensional homogeneous excitable medium with local small-world connections are studied by numerical simulation. In a homogeneous medium which can be simulated with a lattice of regular neighborhood connections, the spiral wave is in the meandering regime. When changing the topology of a small region from regular connections to small-world connections, the tip of the spiral waves is attracted by the small-world region, where the average path length declines with the introduction of long distant connections. The "trapped" phenomenon also occurs in regular lattices where the diffusion coefficient of the small region is increased. The above results can be explained by the eikonal equation, the Luther equation, and the relation between the core radius and the diffusion coefficient.

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Citations

Aug 9, 2007·Biophysical Chemistry·Qianshu Li, Yang Gao
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I LeyvaM A F Sanjuán
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matjaz Perc
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matjaz Perc
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wenqiong GuoHongli Wang
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qianshu Li, Yang Gao
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiang Gao, Hong Zhang
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yabi WuHong Li Wang
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yang Gao, Jianjun Wang
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dongchuan Yu, Ulrich Parlitz

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