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Current reinforcement model reproduces center-in-center vein trajectory of Physarum polycephalum

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Title: Current reinforcement model reproduces center-in-center vein trajectory of Physarum polycephalum
Authors: Akita, Dai Browse this author
Schenz, Daniel Browse this author
Kuroda, Shigeru Browse this author →ORCID
Sato, Katsuhiko Browse this author →KAKEN DB
Ueda, Kei-ichi Browse this author
Nakagaki, Toshiyuki Browse this author →KAKEN DB
Keywords: current reinforcement
mathematical model
slime mold
Issue Date: Jun-2017
Publisher: John Wiley & Sons
Journal Title: Development, Growth & Differentiation / Development Growth & Differentiation
Volume: 59
Issue: 5
Start Page: 465
End Page: 470
Publisher DOI: 10.1111/dgd.12384
PMID: 28707306
Abstract: Vein networks span the whole body of the amoeboid organism in the plasmodial slime mould Physarum polycephalum, and the network topology is rearranged within an hour in response to spatio-temporal variations of the environment. It has been reported that this tube morphogenesis is capable of solving mazes, and a mathematical model, named the current reinforcement rule', was proposed based on the adaptability of the veins. Although it is known that this model works well for reproducing some key characters of the organism's maze-solving behaviour, one important issue is still open: In the real organism, the thick veins tend to trace the shortest possible route by cutting the corners at the turn of corridors, following a center-in-center trajectory, but it has not yet been examined whether this feature also appears in the mathematical model, using corridors of finite width. In this report, we confirm that the mathematical model reproduces the center-in-center trajectory of veins around corners observed in the maze-solving experiment.
Rights: This is the pre-peer reviewed version of the following article: Dai Akita, Daniel Schenz, Shigeru Kuroda, Katsuhiko Sato, Kei-ichi Ueda, Toshiyuki Nakagaki. Current reinforcement model reproduces center-in-center vein trajectory of Physarum polycephalum. Development, Growth & Differentiation 59(5) 2017, which has been published in final form at . This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Type: article (author version)
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 中垣 俊之

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