A computational framework is presented for the simulation of eukaryotic cell migration and chemotaxis. An empirical pattern formation model, based on a system of non-linear reaction-diffusion equations, is approximated on an evolving cell boundary using an Arbitrary Lagrangian Eulerian surface finite element method (ALE-SFEM). The solution state is used to drive a mechanical model of the protrusive and retractive forces exerted on the cell boundary. Movement of the cell is achieved using a level set method. Results are presented for cell migration with and without chemotaxis. The simulated behaviour is compared with experimental results of migrating Dictyostelium discoideum cells.
- cell migration
- level set methods
- ALE methods
Neilson, M. P., Mackenzie, J., Webb, S., & Insall, R. H. (2011). Modelling cell movement and chemotaxis pseudopod based feedback. SIAM Journal on Scientific Computing, 33(3), 1035–1057. https://doi.org/10.1137/100788938