A mathematical model for adaptive transport network in path finding by true slime mold

被引:299
作者
Tero, Atsushi [1 ]
Kobayashi, Ryo
Nakagaki, Toshiyuki
机构
[1] Hiroshima Univ, Dept Math & Life Sci, Higashihiroshima 7398526, Japan
[2] Hokkaido Univ, Res Inst Elect Sci, Sapporo, Hokkaido 0600812, Japan
[3] Hokkaido Univ, Creat Res Initiat SOUSEI, Sapporo, Hokkaido 0600812, Japan
基金
日本学术振兴会;
关键词
Physarum polycephalum; mathematical modeling; natural adaptive networks;
D O I
10.1016/j.jtbi.2006.07.015
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We describe here a mathematical model of the adaptive dynamics of a transport network of the true slime mold Physarum polycephalum, an amoeboid organism that exhibits path-finding behavior in a maze. This organism possesses a network of tubular elements, by means of which nutrients and signals circulate through the plasmodium. When the organism is put in a maze, the network changes its shape to connect two exits by the shortest path. This process of path-finding is attributed to an underlying physiological mechanism: a tube thickens as the flux through it increases. The experimental evidence for this is, however, only qualitative. We constructed a mathematical model of the general form of the tube dynamics. Our model contains a key parameter corresponding to the extent of the feedback regulation between the thickness of a tube and the flux through it. We demonstrate the dependence of the behavior of the model on this parameter. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:553 / 564
页数:12
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