Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation

2003/03/21 by A. Gamba, D. Ambrosi, A. Coniglio +6 · 1 citation
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #cond-mat.stat-mech #physics.bio-ph #q-bio.CB

paper · pdf · doi:10.1103/physrevlett.90.118101

published as Phys. Rev. Lett. 90, 118101 (2003) · 4 pages, 11 eps figures

arxiv created 2003/03/21 · arxiv updated 2009/11/30

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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