Continuous models for cell-cell adhesion

Hideki Murakawa, Hideru Togashi

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalJournal of Theoretical Biology
Volume374
DOIs
Publication statusPublished - Jun 7 2015

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Cell Adhesion
Cell adhesion
cell adhesion
Cell
Cells
Advection
cells
Sorting
Experiments
Model
Mathematical models
Advection-diffusion
cell movement
extracellular matrix
sorting
Embryonic Development
Cell Movement
Extracellular Matrix
Theoretical Models
mathematical models

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Continuous models for cell-cell adhesion. / Murakawa, Hideki; Togashi, Hideru.

In: Journal of Theoretical Biology, Vol. 374, 07.06.2015, p. 1-12.

Research output: Contribution to journalArticle

Murakawa, Hideki ; Togashi, Hideru. / Continuous models for cell-cell adhesion. In: Journal of Theoretical Biology. 2015 ; Vol. 374. pp. 1-12.
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