Continuous models for cell-cell adhesion

Hideki Murakawa, Hideru Togashi

研究成果: Contribution to journalArticle査読

29 被引用数 (Scopus)


Cell adhesion is the binding of a cell to another cell or to an extracellular matrix component. This process is essential in organ formation during embryonic development and in maintaining multicellular structure. Armstrong et al. (2006) [J. Theor. Biol. 243, pp. 98-113] proposed a nonlocal advection-diffusion system as a possible continuous mathematical model for cell-cell adhesion. Although the system is attractive and challenging, it gives biologically unrealistic numerical solutions under certain situations. We identify the problems and change underlying idea of cell movement from "cells move randomly" to "cells move from high to low pressure regions". Then we provide a modified continuous model for cell-cell adhesion. Numerical experiments illustrate that the modified model is able to replicate not only Steinberg[U+05F3]s cell sorting experiments but also some phenomena which cannot be captured at all by Armstrong-Painter-Sherratt model.

ジャーナルJournal of Theoretical Biology
出版ステータス出版済み - 6 7 2015

All Science Journal Classification (ASJC) codes

  • 統計学および確率
  • モデリングとシミュレーション
  • 生化学、遺伝学、分子生物学(全般)
  • 免疫学および微生物学(全般)
  • 農業および生物科学(全般)
  • 応用数学


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