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

我们利用单个巨大的绒毛霉变形体细胞，进行了关于细胞智能的非常规实验，并建立了基于非线性细胞内动力学的数学模型，以阐明计算算法。(1)解决了迷宫问题、Steiner问题、Fermart问题等几何难题。(2)静脉网络的形成受最小路径长度、不破裂保证和最小危险之间的权衡。(3)建立了基于耦合振子的数学模型，其中考虑了质量守恒和粘弹性性质的区域差异。该模型模拟了在绒泡菌中观察到的同步振荡模式。(4)建立了矿脉形成的自适应机制数学模型。该模型模拟了Physarum问题、Steiner问题和Fermart问题的迷宫求解。

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.