Open AccessMulticellular model of angiogenesis
Author(s) -
Takashi Nakazawa,
AUTHOR_ID,
Sohei Tasaki,
Kiyohiko Nakai,
Takashi Suzuki,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims bioengineering
Language(s) - English
Resource type - Journals
ISSN - 2375-1495
DOI - 10.3934/bioeng.2022004
Subject(s) - angiogenesis , multicellular organism , vascular endothelial growth factor , endothelial stem cell , microbiology and biotechnology , cell growth , field (mathematics) , vegf receptors , chemistry , cell , biology , mathematics , cancer research , biochemistry , in vitro , pure mathematics
This paper presents a mathematical model governing the dynamics of a morphogenetic vascular endothelial cell (EC) during angiogenesis, and vascular growth formed by EC. Especially, we adopt a multiparticle system for modeling these cells. This model does not distinguish a tip cell from a stalk cell. A formed vessel is modeled using phase-field equation to prevent capillary expansion with time stepping in particular. Numerical simulation reveals that all cells are moving in the direction of high concentration of vascular endothelial growth factor (VEGF), and that they are mutually repellent in cases in which they are closer than some threshold.