Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell

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

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper we present a computational tool that enables the simulation of mathematical models of cell migration and chemotaxis on an evolving cell membrane. Recent models require the numerical solution of systems of reaction-diffusion equations on the evolving cell membrane and then the solution state is used to drive the evolution of the cell edge. Previous work involved moving the cell edge using a level set method (LSM). However, the LSM is computationally very expensive, which severely limits the practical usefulness of the algorithm. To address this issue, we have employed the parameterised finite element method (PFEM) as an alternative method for evolving a cell boundary. We show that the PFEM is far more efficient and robust than the LSM. We therefore suggest that the PFEM potentially has an essential role to play in computational modelling efforts towards the understanding of many of the complex issues related to chemotaxis.



LanguageEnglish
Pages687-695
Number of pages9
JournalIntegrative Biology
Volume2
Issue number11-12
Early online date20 Oct 2010
DOIs
Publication statusPublished - 2 Nov 2010

Fingerprint

Finite Element Method
Cell membranes
Level Set Method
Finite element method
Cell
Chemotaxis
Membrane
Cell Migration
Mathematical models
Computational Modeling
Cell Membrane
Reaction-diffusion Equations
Numerical Solution
Mathematical Model
Cell Movement
Theoretical Models
Alternatives
Simulation
Model

Keywords

  • finite element method
  • statistics
  • biology

Cite this

Neilson, Matthew Paterson ; Mackenzie, John ; Webb, Steven ; Insall, Robert H. / Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell. In: Integrative Biology. 2010 ; Vol. 2, No. 11-12. pp. 687-695.
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Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell. / Neilson, Matthew Paterson; Mackenzie, John; Webb, Steven; Insall, Robert H.

In: Integrative Biology, Vol. 2, No. 11-12, 02.11.2010, p. 687-695.

Research output: Contribution to journalArticle

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