The Mathematical Institute, University of Oxford, Eprints Archive

Simulation of cell movement through evolving environment: a fictitious domain approach

Séguis, J. - C. and Burrage, K. and Erban, R. and Kay, D. (2012) Simulation of cell movement through evolving environment: a fictitious domain approach. Journal of Computational Physics . (Submitted)

[img]
Preview
PDF
499Kb

Abstract

A numerical method for simulating the movement of unicellular organisms which respond to chemical signals is presented. Cells are modelled as objects of finite size while the extracellular space is described by reaction-diffusion partial differential equations. This modular simulation allows the implementation of different models at the different scales encountered in cell biology and couples them in one single framework. The global computational cost is contained thanks to the use of the fictitious domain method for finite elements, allowing the efficient solve of partial differential equations in moving domains. Finally, a mixed formulation is adopted in order to better monitor the flux of chemicals, specifically at the interface between the cells and the extracellular domain.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1549
Deposited By:Peter Hudston
Deposited On:05 Jul 2012 08:51
Last Modified:05 Jul 2012 08:51

Repository Staff Only: item control page