Can Voronoi diagram model cell geometries in early sea-urchin embryogenesis ?

Miguel Angel Luengo-Oroz (1) , Louise Duloquin (2, 3) , Carlos Castro-González (1) , Thierry Savy (4) , Emmanuel Faure (4) , Benoit Lombardot (4) , Paul Bourgine (4, 5) , Nadine Peyriéras (2, 3, 6) , Andrés Santos (1)

1 Biomedical Image Technologies Lab, ETSI Telecomunicación
2 N&eD - Neurobiologie et Développement
3 INAF - Institut de Neurobiologie Alfred Fessard
4 CREA - Centre de recherche en épistémologie appliquée
5 RNSC - Réseau National des Systèmes Complexes
6 ISC-PIF - Institut des Systèmes Complexes - Paris Ile-de-France

We test the hypothesis that cell membranes in early sea- urchin embryos can be modeled as a Voronoi diagram from nuclei centers. In order to obtain a model of the cell geometry against which to test our Voronoi model hypothesis, we developed a viscous watershed framework that allows segmenting 3D images of living sea-urchin embryos obtained by biphoton laser scanning microscopy. Measurements of the differences between segmented cells and the Voronoi model, show an interesting high correlation that can serve for developing more accurate methods of segmentation and modelling cell geometries.

Domaines: Neurosciences [q-bio.NC]

Miguel Angel Luengo-Oroz, Louise Duloquin, Carlos Castro-González, Thierry Savy, Emmanuel Faure, et al.. Can Voronoi diagram model cell geometries in early sea-urchin embryogenesis ?. Biomedical Imaging: From Nano to Macro, IEEE, pp.504-507, 2008, IEEE International Symposium on Biomedical Imaging Vomues 1-4, 978-1-4244-2002-5. ⟨10.1109/ISBI.2008.4541043⟩. ⟨hal-00723387⟩