Document Detail

Modelling cell motility and chemotaxis with evolving surface finite elements.
MedLine Citation:
PMID:  22675164     Owner:  NLM     Status:  MEDLINE    
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∼maskae/CV_Warwick/Chemotaxis.html.
Charles M Elliott; Björn Stinner; Chandrasekhar Venkataraman
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't     Date:  2012-06-06
Journal Detail:
Title:  Journal of the Royal Society, Interface / the Royal Society     Volume:  9     ISSN:  1742-5662     ISO Abbreviation:  J R Soc Interface     Publication Date:  2012 Nov 
Date Detail:
Created Date:  2012-09-26     Completed Date:  2013-02-11     Revised Date:  2013-12-05    
Medline Journal Info:
Nlm Unique ID:  101217269     Medline TA:  J R Soc Interface     Country:  England    
Other Details:
Languages:  eng     Pagination:  3027-44     Citation Subset:  IM    
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MeSH Terms
Biomechanical Phenomena
Cell Membrane / physiology*
Cell Movement / physiology*
Cell Polarity / physiology
Chemotaxis / physiology*
Computer Simulation
Finite Element Analysis
Models, Biological*
Pseudopodia / physiology

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

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