Naoko Takubo Fumitaka Yura Kazuaki Naemura Ryo Yoshida Terumasa Tokunaga Tetsuji Tokihiro Hiroki Kurihara
Scientific Reports 9(1) 9304-9304 2019年12月 [査読有り]
Vascular endothelial cells (ECs) in angiogenesis exhibit inhomogeneous collective migration called "cell mixing", in which cells change their relative positions by overtaking each other. However, how such complex EC dynamics lead to the formation ...
K. Matsuya F. Yura J. Mada H. Kurihara T. Tokihiro
SIAM JOURNAL ON APPLIED MATHEMATICS 76(6) 2243-2259 2016年 [査読有り]
Angiogenesis is the morphogenetic phenomenon in which new blood vessels emerge from an existing vascular network and configure a new network. In consideration of recent experiments with time-lapse fluorescent imaging in which vascular endothelial ...
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 47(32) 2014年8月 [査読有り]
We propose a solitonic dynamical system over finite fields that may be regarded as an analogue of the box-ball systems. The one-soliton solutions of the system, which have nested structures similar to fractals, are also proved. The solitonic syste...
Tatsuya Hayashi Fumitaka Yura Jun Mada Hiroki Kurihara Tetsuji Tokihiro
2022年1月
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 an existing vascular network. Recently a
one-dimensional discrete ...
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