120 citations · 605 across the 41 of their papers we have counts for
41 papers
A Structure-Preserving Stagewise Rescaling Algorithm for a Two-Dimensional Nonlocal MEMS Equation in an Asymptotically Constant-Feedback Regime
Takiko Sasaki, Tetsuji Tokihiro
Nonlocal MEMS equations exhibit finite-time quenching, or touchdown, which is difficult to capture numerically. We study a stagewise rescaling algorithm for a two-dimensional nonlo…
Sector-dominant graph-local drivers for path-window barrier Hamiltonians on the Boolean hypercube
Takiko Sasaki, Tetsuji Tokihiro
We study finite-size adiabatic state preparation on Boolean hypercubes using graph-local drivers built from sector/path coordinates related to monotone Gray-code representatives. T…
Integrable cellular automata on finite fields of order
Aoi Araoka, Tetsuji Tokihiro
This paper explores cellular automata (CA) constructed from Yang-Baxter maps over finite fields . We define -matrices using a map on and establish necessa…
Generalized FDNF fuzzification of elementary cellular automata and its nonlinear pattern dynamics
Takiko Sasaki, Seiryu Shimizu, Tetsuji Tokihiro
Fuzzy disjunctive normal form (FDNF) gives the canonical multi-affine extension of an elementary cellular automaton (ECA) rule to the unit cube. Although it preserves the Boolean r…
Pattern formation of elliptic particles by two-body interactions: a model for dynamics of endothelial cells in angiogenesis
Tatsuya Hayashi, Fumitaka Yura, Jun Mada +2
A two-dimensional mathematical model for dynamics of endothelial cells in angiogenesis is investigated. Angiogenesis is a morphogenic process in which new blood vessels emerge from…
Pattern formation of vascular network in a mathematical model of angiogenesis
Jun Mada, Tetsuji Tokihiro
We discuss the characteristics of the patterns of the vascular networks in a mathematical model for angiogenesis. Based on recent in vitro experiments, this mathematical model assu…