K. Matsuya   F. Yura   J. Mada   H. Kurihara   T. Tokihiro   
SIAM JOURNAL ON APPLIED MATHEMATICS 76(6) 2243-2259 2016年 [査読有り]
Angiogenesis is the morphogenetic phenomenon in which new blood vessels emerge from an existing vascular network and configure a new network. In consideration of recent experiments with time-lapse fluorescent imaging in which vascular endothelial ...
Masataka Kanki   Takafumi Mase   Tetsuji Tokihiro   
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 48(35) 2015年8月 [査読有り]
We introduce a series of discrete mappings, which is considered to be an extension of the Hietarinta-Viallet mapping with one parameter. We obtain the algebraic entropy for this mapping by obtaining the recurrence relation for the degrees of the i...
The pH-induced conformational changes of proteins are systematically studied in the framework of a hydrophobic-polar (HP) model, in which proteins are dramatically simplified as chains of hydrophobic (H) and polar (P) beads on a lattice. We expres...
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 48(5) 2015年2月 [査読有り]
We propose the analysis of a general coupled system of semidiscrete (differential-difference form) Korteweg-de Vries equations. Its integrability is proved using bilinear Backlund transformations and Lax pairs. Starting from the Hirota bilinear fo...
Masataka Kanki   Jun Mada   Tetsuji Tokihiro   
JOURNAL OF MATHEMATICAL PHYSICS 56(2) 2015年2月 [査読有り]
We reformulate the singularity confinement, which is one of the most famous integrability criteria for discrete equations, in terms of the algebraic properties of the general terms of the discrete Toda equation. We show that the coprime property, ...
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...