If BZ medium did spanning trees these would be the same trees as Physarum built

被引:31
作者
Adarnatzky, Andrew [1 ]
机构
[1] Univ W England, Bristol BS16 1QY, Avon, England
关键词
Physarum polycephalum; Belousov-Zhabotinsky reaction; Pattern formation; Morphogenesis; Oregonator; TRUE SLIME-MOLD; BELOUSOV-ZHABOTINSKY; MODEL; OSCILLATIONS; DIFFUSION; PATTERNS; BEHAVIOR; SYSTEMS; NETWORK;
D O I
10.1016/j.physleta.2008.12.070
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A sub-excitable Belousov-Zhabotinsky (BZ) medium exhibits self-localized wave-fragments which may travel for relatively long time preserving their shape. Using Oregonator model of the BZ medium we imitate foraging behavior of a true slime mold, Physarum polycephalum, on a nutrient-poor substrate. We show that given erosion post-processing operations the BZ medium can approximate a spanning tree of a planar set and thus is computationally equivalent to Physarum in the domain of proximity graph construction. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:952 / 956
页数:5
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