Geodesic
Towards Sub-cellular Modeling with Delaunay Triangulation
G. Grise1 ; M. Meyer-Hermann1
1 Frankfurt Institute for Advanced Studies, Goethe University Ruth-Moufang Strasse 1, 60438 Frankfurt, Germany
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 1, pp. 224-238.

Voir la notice de l'article provenant de la source EDP Sciences

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.
DOI : 10.1051/mmnp/20083710

G. Grise 1 ; M. Meyer-Hermann 1

1 Frankfurt Institute for Advanced Studies, Goethe University Ruth-Moufang Strasse 1, 60438 Frankfurt, Germany 
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G. Grise; M. Meyer-Hermann. Towards Sub-cellular Modeling with Delaunay Triangulation. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 1, pp. 224-238. doi : 10.1051/mmnp/20083710. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20083710/

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