2 papers
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.AO2020
A stochastic phase model with reflective boundary and induced beating for the cardiac muscle cells
Guanyu Zhou, Tatsuya Hayashi, Tetsuji Tokihiro
We consider the stochastic phase models for the community effect of cardiac muscle cells. The model is the extension of the stochastic integrate-and-fire model in which we incorpor…