120 citations · 605 across the 41 of their papers we have counts for
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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…
Mathematical Modelings for Angiogenesis - A Cellular Automaton Model and its Continuous Model
Keisuke Matsuya, Hiroki Kurihara, Tetsuji Tokihiro
Based on recent experiments with time-lapse fluorescent imaging, we propose a cellular automaton model for the dynamics of vascular endothelial cells (ECs) in angiogenic morphogene…
Construction of an isotropic cellular automaton for a reaction-diffusion equation by means of a random walk
A. Nishiyama, T. Tokihiro
We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the rea…
Ultra-discrete Optimal Velocity Model: a Cellular-Automaton Model for Traffic Flow and Linear Instability of High-Flux Traffic
Masahiro Kanai, Shin Isojima, Katsuhiro Nishinari +1
In this paper, we propose the ultra-discrete optimal velocity model, a cellular-automaton model for traffic flow, by applying the ultra-discrete method for the optimal velocity mod…