Phys. Rev. Lett. 90, 118101 (2003) [4 pages]Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation
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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.118101
DOI:
10.1103/PhysRevLett.90.118101
PACS:
87.10.+e, 87.17.–d, 64.60.Ak
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