Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation

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.

arXiv comment4 pages, 11 eps figures

References in corpus (2)

• Multifractality in Human Heartbeat Dynamics
• Topological Shocks in Burgers Turbulence

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