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Multicellular model of angiogenesis

  • Received: 12 December 2022 Revised: 23 January 2022 Accepted: 25 January 2022 Published: 28 January 2022
  • 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.

    Citation: Takashi Nakazawa, Sohei Tasaki, Kiyohiko Nakai, Takashi Suzuki. Multicellular model of angiogenesis[J]. AIMS Bioengineering, 2022, 9(1): 44-60. doi: 10.3934/bioeng.2022004

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  • 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.



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    Acknowledgments



    This work was supported by JSPS KAKENHI, Grant Number 19K03645, and MEXT KAKENHI, Grant Number 17H06327.

    Conflict of interest



    The authors declare no conflicts of interest in this paper.

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