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Please use this identifier to cite or link to this item: http://hdl.handle.net/10445/4398

Title: Failure to the shortest path decision of an adaptive transport network with double edges in Plasmodium system
Authors: Miyaji, Tomoyuki
Ohnishi, Isao 
Tero, Atsushi
Nakagaki, Toshiyuki
Abstract: In this paper we study a mathematical model describing behaviour of Physarum polycephalum proposed by Tero et al. (2007). In the case of linear adaptive term, it has been proved that the model must solve the shortest path problem mathematically rigorously on a general planar graph in Miyaji and Ohnishi (2007, 2008). However, in a laboratory, P. polycephalum sometimes makes a mistake, for example, when there is a ‘double-edge’ in a graph. We study the case mathematically to show both why and how P. polycephalum makes a mistake.
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: 
International Journal of Dynamical Systems and Differential Equations
Volume: 1
Spage: 210
Epage: 219
Date: 2008
Appears in Collections:Nakagaki Toshiyuki

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