| Modelling cell motility and chemotaxis with evolving surface finite elements. | |
| | |
MedLine Citation:
|
PMID: 22675164 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
|
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/∼maskae/CV_Warwick/Chemotaxis.html. |
| | |
Authors:
|
Charles M Elliott; Björn Stinner; Chandrasekhar Venkataraman |
Related Documents
:
|
23577214 - The cholesterol-dependent cytolysin pneumolysin from streptococcus pneumoniae binds to ... 23469894 - Cell-laden pcl/alginate hybrid scaffolds fabricated by an aerosol cross-linking process... 23354124 - 14-3-3 proteins are essential signalling hubs for beta cell survival. 23474484 - Ku70 functions in addition to nonhomologous end joining in pancreatic beta-cells: a con... 3758274 - Cell activity in monkey caudate nucleus preceding saccadic eye movements. 19201464 - Cyclic adp-ribose links metabolism to multiple fission in the dinoflagellate crypthecod... |
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: 2013-04-16 |
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 |
Affiliation:
|
Mathematics Institute, Zeeman Building, University of Warwick, Warwick CV4 7AL, UK. |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
Biomechanics 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
Previous Document: Transmission, attenuation and reflection of shear waves in the human brain.
Next Document: Modelling the spread of Wolbachia in spatially heterogeneous environments.