R. Kamiya   M. Kanki   T. Mase   T. Tokihiro   
JOURNAL OF MATHEMATICAL PHYSICS 62(10) 2021年10月 [査読有り]
We introduce an equation defined on a multi-dimensional lattice, which can be considered as an extension to the coprimeness-preserving discrete KdV like equation in our previous paper. The equation is also interpreted as a higher-dimensional analo...
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 38(2) 579-609 2021年6月 [査読有り]
The rule 184 fuzzy cellular automaton is regarded as a mathematical model of traffic flow because it contains the two fundamental traffic flow models, the rule 184 cellular automaton and the Burgers equation, as special cases. We show that the fun...
Naoko Takubo   Fumitaka Yura   Kazuaki Naemura   Ryo Yoshida   Terumasa Tokunaga   Tetsuji Tokihiro   Hiroki Kurihara   
SCIENTIFIC REPORTS 9 2019年6月 [査読有り]
Vascular endothelial cells (ECs) in angiogenesis exhibit inhomogeneous collective migration called "cell mixing", in which cells change their relative positions by overtaking each other. However, how such complex EC dynamics lead to the formation ...
In healthy cells, proteolysis is orderly executed to maintain basal homeostasis and normal physiology. Dyscontrol in proteolysis under severe stress condition induces cell death, but the dynamics of proteolytic regulation towards the critical phas...
Journal of the Physical Society of Japan 55(5) 1420-1423 1986年
We find a systematic procedure constructing the 2D and 3D “periodic” Penrose tilings, which tend to the infinite Penrose tilings. The electronic states in the 2d Penrose tiling are studied by using this sequence. We observe that the spectral measu...