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Towards Sub-cellular Modeling with Delaunay Triangulation

Published online by Cambridge University Press:  03 February 2010

G. Grise  and
M. Meyer-Hermann
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Abstract

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.

Keywords

cell shapecell movementsub-cellular modeldelaunay triangulationvoronoi tessellationsurface reconstruction
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 1: Cell migration , 2010 , pp. 224 - 238
Copyright
© EDP Sciences, 2010

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