Percolation, morphogenesis, and burgers dynamics in blood vessels formation.

@article{Gamba2003PercolationMA,
  title={Percolation, morphogenesis, and burgers dynamics in blood vessels formation.},
  author={Andrea Gamba and D. Ambrosi and Antonio Coniglio and Antonio de Candia and S Di Talia and Enrico Giraudo and Guido Serini and Luigi Preziosi and Federico Bussolino},
  journal={Physical review letters},
  year={2003},
  volume={90 11},
  pages={118101}
}
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… CONTINUE READING

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