120 citations · 605 across the 41 of their papers we have counts for
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nlin.PS2022
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…
nlin.PS2021
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…
nlin.PS2020
Rule 184 fuzzy cellular automaton as a mathematical model for traffic flow
Kohei Higashi, Junkichi Satsuma, Tetsuji Tokihiro
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 automat…