Modelling cell movement and chemotaxis pseudopod based feedback

Matthew Paterson Neilson, John Mackenzie, Steven Webb, Robert H. Insall

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

A computational framework is presented for the simulation of eukaryotic cell migration and chemotaxis. An empirical pattern formation model, based on a system of non-linear reaction-diffusion equations, is approximated on an evolving cell boundary using an Arbitrary Lagrangian Eulerian surface finite element method (ALE-SFEM). The solution state is used to drive a mechanical model of the protrusive and retractive forces exerted on the cell boundary. Movement of the cell is achieved using a level set method. Results are presented for cell migration with and without chemotaxis. The simulated behaviour is compared with experimental results of migrating Dictyostelium discoideum cells.
LanguageEnglish
Pages1035–1057
Number of pages23
JournalSIAM Journal on Scientific Computing
Volume33
Issue number3
Early online date5 May 2011
DOIs
Publication statusPublished - 2011

Fingerprint

Chemotaxis
Cells
Feedback
Cell Migration
Cell
Modeling
Nonlinear Reaction-diffusion Equations
Finite element method
Level Set Method
Pattern Formation
Finite Element Method
Model-based
Movement
Experimental Results
Arbitrary
Simulation
Model

Keywords

  • reaction-diffusion
  • cell migration
  • chemotaxis
  • level set methods
  • ALE methods

Cite this

Neilson, Matthew Paterson ; Mackenzie, John ; Webb, Steven ; Insall, Robert H. / Modelling cell movement and chemotaxis pseudopod based feedback. In: SIAM Journal on Scientific Computing. 2011 ; Vol. 33, No. 3. pp. 1035–1057.
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Modelling cell movement and chemotaxis pseudopod based feedback. / Neilson, Matthew Paterson; Mackenzie, John; Webb, Steven; Insall, Robert H.

In: SIAM Journal on Scientific Computing, Vol. 33, No. 3, 2011, p. 1035–1057.

Research output: Contribution to journalArticle

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