1. Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation
- Author
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Gamba, A., Ambrosi, D., Coniglio, A., de Candia, A., Di Talia, S., Giraudo, E., Serini, G., Preziosi, L., and Bussolino, F.
- Subjects
Condensed Matter - Statistical Mechanics ,Physics - Biological Physics ,Quantitative Biology - Cell Behavior - Abstract
Experiments of in vitro formation of blood vessels show that cells randomly spread on a gel matrix autonomously organize to form a connected vascular network. We propose a simple model which reproduces many features of the biological system. We show that both the model and the real system exhibit a fractal behavior at small scales, due to the process of migration and dynamical aggregation, followed at large scale by a random percolation behavior due to the coalescence of aggregates. The results are in good agreement with the analysis performed on the experimental data., Comment: 4 pages, 11 eps figures
- Published
- 2003
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