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Please use this identifier to cite or link to this item: http://hdl.handle.net/10445/4407

Title: Mathematical model for adaptive transport network in path finding by true slime mold
Authors: Tero, Atsushi
Kobayashi, Ryo
Nakagaki, Toshiyuki
Abstract: 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 changesits 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.
Research Achievement Classification: 原著論文/Original Paper
Type: Journal Article
Peer Review: あり/yes
Solo/Joint Author(s): 共著/joint
Published journal or presented
academic conference: 
Journal of Theoretical Biology
Volume: 244
Spage: 553
Epage: 564
Date: 2007
Appears in Collections:Nakagaki Toshiyuki

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