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Current reinforcement model reproduces center-in-center vein trajectory of Physarum polycephalum
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 http://doi.org/10.1111/dgd.12384 . This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/70639 |
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)
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Submitter: 中垣 俊之
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