Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation

Details Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation

2003-03-21

arxiv.org/abs/cond-mat/0303468v1

Phys. Rev. Lett. 90, 118101 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 11 eps figures

Scientific paper

10.1103/PhysRevLett.90.118101

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 are in good agreement with the analysis performed on the experimental data.

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