An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition

Arnaud Ducrot, Frank Le Foll, Pierre Magal, Hideki Murakawa, Jennifer Pasquier, Glenn F. Webb

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this paper, we construct a model to describe the spatial motion of a monolayer of cells occupying a two-dimensional dish. By taking care of nonlocal contact inhibition, quiescence phenomenon, and the cell cycle, we derive porous media-like equation with nonlocal reaction terms. The first part of this paper is devoted to the construction of the model. In the second part we study the well-posedness of the model. We conclude the paper by presenting some numerical simulations of the model and we observe the formation of colonies.

Original languageEnglish
Pages (from-to)871-892
Number of pages22
JournalMathematical Models and Methods in Applied Sciences
Volume21
Issue numberSUPPL. 1
DOIs
Publication statusPublished - 1 Apr 2011
Externally publishedYes

Fingerprint

Population dynamics
Cell Size
Cell Population
Population Model
Population Dynamics
Dynamic models
Dynamic Model
Cells
Contact
Cell Cycle
Well-posedness
Model
Porous Media
Porous materials
Monolayers
Numerical Simulation
Motion
Cell
Computer simulation
Term

Keywords

  • cell colonies
  • cell cycle
  • Cell population dynamics
  • contact inhibition
  • spatial motion

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. / Ducrot, Arnaud; Le Foll, Frank; Magal, Pierre; Murakawa, Hideki; Pasquier, Jennifer; Webb, Glenn F.

In: Mathematical Models and Methods in Applied Sciences, Vol. 21, No. SUPPL. 1, 01.04.2011, p. 871-892.

Research output: Contribution to journalArticle

Ducrot, Arnaud ; Le Foll, Frank ; Magal, Pierre ; Murakawa, Hideki ; Pasquier, Jennifer ; Webb, Glenn F. / An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. In: Mathematical Models and Methods in Applied Sciences. 2011 ; Vol. 21, No. SUPPL. 1. pp. 871-892.
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