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Modelling cell motility and chemotaxis with evolving surface finite elements
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Elliott, Charles M., Stinner, Björn and Venkataraman, Chandrasekhar (2012) Modelling cell motility and chemotaxis with evolving surface finite elements. Journal of The Royal Society Interface, Volume 9 (Number 76). pp. 3027-3044. doi:10.1098/rsif.2012.0276 ISSN 1742-5689.
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Official URL: http://dx.doi.org/10.1098/rsif.2012.0276
Abstract
We present a mathematical and a computational framework for the modelling of cell motility. The cell membrane is represented by an evolving surface, with the movement of the cell determined by the interaction of various forces that act normal to the surface. We consider external forces such as those that may arise owing to inhomogeneities in the medium and a pressure that constrains the enclosed volume, as well as internal forces that arise from the reaction of the cells' surface to stretching and bending. We also consider a protrusive force associated with a reaction-diffusion system (RDS) posed on the cell membrane, with cell polarization modelled by this surface RDS. The computational method is based on an evolving surface finite-element method. The general method can account for the large deformations that arise in cell motility and allows the simulation of cell migration in three dimensions. We illustrate applications of the proposed modelling framework and numerical method by reporting on numerical simulations of a model for eukaryotic chemotaxis and a model for the persistent movement of keratocytes in two and three space dimensions. Movies of the simulated cells can be obtained from http://homepages.warwick.ac.uk/similar to maskae/CV_Warwick/Chemotaxis.html.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology Q Science > QR Microbiology |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Cells -- Motility, Cells -- Physiology, Chemotaxis, Mathematics, Cytology -- Research | ||||
Journal or Publication Title: | Journal of The Royal Society Interface | ||||
Publisher: | The Royal Society Publishing | ||||
ISSN: | 1742-5689 | ||||
Official Date: | 7 November 2012 | ||||
Dates: |
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Volume: | Volume 9 | ||||
Number: | Number 76 | ||||
Page Range: | pp. 3027-3044 | ||||
DOI: | 10.1098/rsif.2012.0276 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 23 December 2015 | ||||
Date of first compliant Open Access: | 23 December 2015 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | EP/G010404 (EPSRC) |
Data sourced from Thomson Reuters' Web of Knowledge
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