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

Neilson, M. P., Mackenzie, J. A., Webb, S. D. and Insall, R. H. (2010) Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell. Integrative Biology, 2(11-12), pp. 687-695. (doi:10.1039/c0ib00047g)

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Publisher's URL: http://dx.doi.org/10.1039/c0ib00047g

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Neilson, Dr Matthew and Insall, Professor Robert
Authors: Neilson, M. P., Mackenzie, J. A., Webb, S. D., and Insall, R. H.
College/School:College of Medical Veterinary and Life Sciences > Institute of Cancer Sciences
Journal Name:Integrative Biology
Publisher:R S C Publications
ISSN:1757-9694
ISSN (Online):1757-9708
Published Online:20 October 2010
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
506871Computational modelling of cell movement and chemotaxisRobert InsallMedical Research Council (MRC)G0802579Beatson Institute for Cancer Research