Cellular automaton model of three-dimensional excitable media
Cellular automaton model of three-dimensional excitable media
复制标题
三维可兴奋介质元胞自动机模型
DOI：
10.1039/ft9969202883
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
J. Tyson
中科院分区：
文献类型：
--
作者：
C. Henze;J. Tyson
由魏玛、泰森和沃森于1992年提出的可激发介质的“第三代”元胞自动机（CA）模型（Physica D，1992，55，309; 328）被扩展到三维空间（3D）。扩散描述的3D高斯掩模和更新规则的设计模仿FitzHugh-Nagumo偏微分方程（PDE）的兴奋性。CA的目的是探索旋转涡卷波的性质。CA可以在典型的桌面工作站上模拟几个λ3（λ=涡卷的波长）的3D域，并且较大的域适合于通过所描述的方法进行并行处理。CA的准确性和性能，作为连续可激发介质的模拟工具，通过比较CA和PDE的结果，各种几何形状和参数的涡卷波进行评估。
A ‘third generation’ cellular automaton (CA) model of excitable media, introduced in 1992 by Weimar, Tyson and Watson (Physica D, 1992, 55, 309; 328) is extended to three spatial dimensions (3D). Diffusion is described by 3D Gaussian masks and the update rules are devised to mimic the FitzHugh–Nagumo partial differential equations (PDEs) of excitability. The CA is intended to explore the properties of rotating scroll waves. 3D domains of several λ3(λ= wavelength of scroll) can be simulated by the CA on a typical desktop workstation, and larger domains are suitable for parallel processing by methods described. The accuracy and performance of the CA, as a simulation tool for continuous excitable media, are assessed by comparing CA and PDE results for scroll waves of various geometries and parameters.