The community effect of cardiomyocytes was investigated in silico by the change in number and features of cells, as well as configurations of networks. The theoretical model was based on experimental data and accurately reproduced recently publish...
Ryo Kamiya   Masataka Kanki   Takafumi Mase   Tetsuji Tokihiro   
JOURNAL OF MATHEMATICAL PHYSICS 58(1) 2017年1月 [査読有り]
We introduce a so-called coprimeness-preserving non-integrable extension to the two-dimensional Toda lattice equation. We believe that this equation is the first example of such discrete equations defined over a three-dimensional lattice. We prove...
Masataka Kanki   Takafumi Mase   Tetsuji Tokihiro   
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 49(23) 2016年6月 [査読有り]
We present a quasi-integrable two-dimensional lattice equation: i.e., a partial difference equation which satisfies a test for integrability, singularity confinement, although it has a chaotic aspect in the sense that the degrees of its iterates e...
IEICE NONLINEAR THEORY AND ITS APPLICATIONS 7(3) 338-353 2016年 [査読有り]
The periodic discrete Toda equation defined over finite fields has been studied. We obtained the finite graph structures constructed by the network of states where edges denote possible time evolutions. We simplify the graphs by introducing a equi...
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...