Modelling cell movement and chemotaxis pseudopod based feedback

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

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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.
Original languageEnglish
Pages (from-to)1035–1057
Number of pages23
JournalSIAM Journal on Scientific Computing
Volume33
Issue number3
Early online date5 May 2011
DOIs
Publication statusPublished - 2011

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Keywords

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

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