3 papers
math.AT2024
Novel definition and quantitative analysis of branch structure with topological data analysis
Haruhisa Oda, Mayuko Kida, Yoichi Nakata +1
While branching network structures abound in nature, their objective analysis is more difficult than expected because existing quantitative methods often rely on the subjective jud…
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.CG2015
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…