Solving Geometrical Puzzles by the True Slime Mold and Its Intracellular Computational Algorithm

用真正的粘菌及其胞内计算算法解决几何难题

• 批准号: 15300098
• 负责人: UEDA Tetsuo
• 金额: $ 10.62万
• 依托单位: Hokkaido University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15300098/
• 关键词: True slime mold; coupled oscillators; cellular intelligence; mathematical modeling; intracellular computation; self-organization; cellular algorithm; cell behavior; 粘膜; 真正粘菌; Physarum; 細胞行動; 細胞リズム; アメーバ運動; 結合振動子系; 細胞インテリジェンス; アメーバ行動; スモール

With use of the single giant amoeboid cell of the Physarum plasmodium, we performed unconventional experiments concerning cellular intelligence and also constructed mathematical models based on nonlinear intracellular dynamics for clarifying computational algorithm. (1) The organism solved such geometrical puzzles as maze problems, Steiner problems, Fermart problems. (2) The formation of vein networks was governed by the trade-off among minimum path-length, assurance for not-breaking apart, and minimum danger, etc. (3) Mathematical models were constructed based on a coupled oscillators where the conservation of mass and the regional difference of the visco-elastic properties were taken into account. The model simulated synchronous oscillation patterns observed in the Physarum. (4) A mathematical model was constructed by taking into adaptive mechanism for the formation of veins. The model simulated maze solving by the Physarum, Steiner problems and Fermart problems.

利用绒泡菌（Physarum plasmodium）的单个巨大变形虫细胞，进行了有关细胞智能的非常规实验，并构建了基于非线性细胞内动力学的数学模型，阐明了计算算法。(1)有机体解决了诸如迷宫问题、斯坦纳问题、费马问题等几何难题。(2)脉网的形成受最小路径长度、保证不破裂和最小危险性等因素的权衡控制。（3）建立了基于耦合振子的数学模型，该模型考虑了质量守恒和粘弹性的区域差异。该模型模拟了在绒泡菌中观察到的同步振荡模式。(4)考虑矿脉形成的适应机制，建立了数学模型。该模型模拟了绒泡菌、Steiner问题和Fermart问题的迷宫求解过程。

项目成果

Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold

• DOI: 10.1007/s00285-006-0067-1
• 发表时间: 2007-01
• 期刊: Journal of Mathematical Biology
• 影响因子: 1.9
• 作者: Hiroyasu Yamada;Toshiyuki Nakagaki;Ruth E Baker;P. K. Maini

Super water-repellent surfaces with fractal structures and their potential application to biological studies

• DOI: 10.1016/j.colsurfa.2005.10.083
• 发表时间: 2006-08
• 期刊: Colloids and Surfaces A: Physicochemical and Engineering Aspects
• 作者: H. Yan;H. Shiga;E. Ito;T. Nakagaki;S. Takagi;T. Ueda;K. Tsujii

Mathematical model for adaptive transport network in path finding by true slime mold

真粘菌寻路的自适应传输网络数学模型

• 发表时间: 2007
• 期刊: Journal of Theoretical Biology 244
• 作者: Atsushi Tero;Ryo Kobayashi and Toshiyuki Nakagaki
• 通讯作者: Ryo Kobayashi and Toshiyuki Nakagaki

A coupled-oscillator model with a conservation law for the rhythmic amoeboid movements of plasmodial slime molds

• DOI: 10.1016/j.physd.2005.01.010
• 发表时间: 2005-06
• 期刊: Physica D: Nonlinear Phenomena
• 作者: A. Tero;R. Kobayashi;T. Nakagaki

あるアメーバ様生物の行動に見る賢さ-粘菌変形体のリズム性運動と編目体形-

从类阿米巴生物的行为中看到的智慧——粘菌变形体的节律运动和网状体形状——

• 发表时间: 2005
• 期刊: 科学 75
• 作者: Tero;A.;Kobayashi;R.;Nakagaki;T;上田哲男;中垣 俊之
• 通讯作者: 中垣 俊之