Key result
Mathematical model accurately replicates experimental multi-scale blood vessel formation dynamics.
Why the study?
In vitro experiments show cells autonomously organize to form vascular networks, but a simple model reproducing these features was needed.
Answers are grounded in this paper and cite their sources.
A proposed computational model successfully reproduces the fractal and percolation behaviors observed during in vitro blood vessel formation.
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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Gamba et al. (2003) studied Blood vessel formation. Mathematical model of blood vessel formation vs. Experimental in vitro data was evaluated on Fractal behavior and random percolation behavior. A proposed mathematical model of in vitro blood vessel formation successfully reproduced the fractal behavior at small scales and random percolation behavior at large scales seen in experimental data.
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