Percolation, morphogenesis, and burgers dynamics in blood vessels formation - PubMed (original) (raw)
. 2003 Mar 21;90(11):118101.
doi: 10.1103/PhysRevLett.90.118101. Epub 2003 Mar 17.
Affiliations
- PMID: 12688968
- DOI: 10.1103/PhysRevLett.90.118101
Percolation, morphogenesis, and burgers dynamics in blood vessels formation
A Gamba et al. Phys Rev Lett. 2003.
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.
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