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Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation

A. Gamba·D. Ambrosi·A. Coniglio·A. de Candia·S. Di Talia·E. Giraudo·G. Serini·L. Preziosi·F. Bussolino
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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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A. Gamba, D. Ambrosi, A. Coniglio, A. de Candia, S. Di Talia, E. Giraudo, G. Serini, L. Preziosi, F. Bussolino. 2003-03-21. Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation. https://doi.org/10.1103/physrevlett.90.118101

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