Math. Model. Nat. Phenom.
Volume 5, Number 1, 2010Cell migration
|Page(s)||224 - 238|
|Published online||03 February 2010|
Towards Sub-cellular Modeling with Delaunay Triangulation
Frankfurt Institute for Advanced Studies, Goethe University Ruth-Moufang Strasse 1,
* Corresponding author. E-mail: email@example.com
In this article a novel model framework to simulate cells and their internal structure is described. The model is agent-based and suitable to simulate single cells with a detailed internal structure as well as multi-cellular compounds. Cells are simulated as a set of many interacting particles, with neighborhood relations defined via a Delaunay triangulation. The interacting sub-particles of a cell can assume specific roles – i.e., membrane sub-particle, internal sub-particle, organelles, etc –, distinguished by specific interaction potentials and, eventually, also by the use of modified interaction criteria. For example, membrane sub-particles may interact only on a two-dimensional surface embedded on three-dimensional space, described via a restricted Delaunay triangulation. The model can be used not only to study cell shape and movement, but also has the potential to investigate the coupling between internal space-resolved movement of molecules and determined cell behaviors.
Mathematics Subject Classification: 51P05 / 7008 / 68U05 / 92B99
Key words: cell shape / cell movement / sub-cellular model / delaunay triangulation / voronoi tessellation / surface reconstruction
© EDP Sciences, 2010
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