Mathematical modeling of the capillary-like pattern generated by adrenomedullin-treated human vascular endothelial cells in vitro
Article first published online: 17 JUL 2009
Copyright © 2009 Wiley-Liss, Inc.
Volume 238, Issue 8, pages 1951–1963, August 2009
How to Cite
Guidolin, D., Albertin, G., Sorato, E., Oselladore, B., Mascarin, A. and Ribatti, D. (2009), Mathematical modeling of the capillary-like pattern generated by adrenomedullin-treated human vascular endothelial cells in vitro. Dev. Dyn., 238: 1951–1963. doi: 10.1002/dvdy.22022
- Issue published online: 17 JUL 2009
- Article first published online: 17 JUL 2009
- Manuscript Accepted: 20 MAY 2009
- human vascular endothelial cells;
- Matrigel assay;
- image analysis;
- Cellular Potts Model
A recently proposed approach was used to model the self-organization into capillary-like structures of human vascular endothelial cells cultured on Matrigel. The model combines a Cellular Potts Model, considering cell adhesion, cytoskeletal rearrangement and chemotaxis, and a Partial Differential Equation model describing the release and the diffusion of a chemoattractant. The results were compared with the data from real in vitro experiments to establish the capability of the model to accurately reproduce both the spontaneous self-assembly of unstimulated cells and their self-organization in the presence of the pro-angiogenic factor adrenomedullin. The results showed that the model can accurately reproduce the self-assembly of unstimulated cells, but it failed in reproducing the adrenomedullin-induced self-organization of the cells. The extension of the model to include cell proliferation led to a good match between simulated and experimental patterns in both cases with predicted proliferation rates in agreement with the data of cell proliferation experiments. Developmental Dynamics 238:1951–1963, 2009. © 2009 Wiley-Liss, Inc.