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Experimental models for Murray's law

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タイトル: Experimental models for Murray's law
著者: Akita, Dai 著作を一覧する
Kunita, Itsuki 著作を一覧する
Fricker, Mark D. 著作を一覧する
Kuroda, Shigeru 著作を一覧する
Sato, Katsuhiko 著作を一覧する
Nakagaki, Toshiyuki 著作を一覧する
キーワード: slime mold
transport network
scaling law
energy minimization
発行日: 2017年 1月18日
出版者: IOP Publishing
誌名: Journal of Physics D : Applied Physics
巻: 50
号: 2
開始ページ: 024001
出版社 DOI: 10.1088/1361-6463/50/2/024001
抄録: Transport networks are ubiquitous in multicellular organisms and include leaf veins, fungal mycelia and blood vessels. While transport of materials and signals through the network plays a crucial role in maintaining the living system, the transport capacity of the network can best be understood in terms of hydrodynamics. We report here that plasmodium from the large, single-celled amoeboid Physarum was able to construct a hydrodynamically optimized veinnetwork when evacuating biomass from confined arenas of various shapes through a narrow exit. Increasingly thick veins developed towards the exit, and the network spanned the arena via repetitive bifurcations to give a branching tree. The Hausdorff distance from all parts of the plasmodium to the vein network was kept low, whilst the hydrodynamic conductivity from distal parts of the network to the exit was equivalent, irrespective of the arena shape. This combination of spatial patterning and differential vein thickening served to evacuate biomass at an equivalent rate across the entire arena. The scaling relationship at the vein branches was determined experimentally to be 2.53-3.29, consistent with predictions from Murray's law. Furthermore, we show that mathematical models for self-organised, adaptive transport in Physarum simulate the experimental network organisation well if the scaling coefficient of the current-reinforcement rule is set to 3. In simulations, this resulted in rapid development of an optimal network that minimised the combined volume and frictional energy in comparison with other scaling coefficients. This would predict that the boundary shear forces within each vein are constant throughout the network, and would be consistent with a feedback mechanism based on a sensing a threshold shear at the vein wall.
資料タイプ: article (author version)
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 中垣 俊之


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