A Novel Cell Vertex Model Formulation that Distinguishes the Strength of Contraction Forces and Adhesion at Cell Boundaries

Katsuhiko Sato, Daiki Umetsu

研究成果: Article査読

抄録

The vertex model is a useful mathematical model to describe the dynamics of epithelial cell sheets. However, existing vertex models do not distinguish contraction forces on the cell boundary from adhesion between cells, employing a single parameter to express both. In this paper, we introduce the rest length of the cell boundary and its dynamics into the existing vertex model, giving a novel formulation of the model that treats separately the contraction force and the strength of adhesion between cells. We apply this vertex model to the phenomenon of compartment boundary in the fruit fly pupa, recapturing the observation that increasing the strength of adhesion between cells straightens the compartment boundary, even though contraction forces at cell boundaries remain unchanged. We also discuss possibilities of the novel vertex models by considering the stretching of a cell sheet by external forces.

本文言語English
論文番号704878
ジャーナルFrontiers in Physics
9
DOI
出版ステータスPublished - 2021 7 22

ASJC Scopus subject areas

  • 生物理学
  • 材料科学(その他)
  • 数理物理学
  • 物理学および天文学(全般)
  • 物理化学および理論化学

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