Stochastic model of tumor-induced angiogenesis: Ensemble averages and deterministic equations.

@article{Terragni2016StochasticMO,
  title={Stochastic model of tumor-induced angiogenesis: Ensemble averages and deterministic equations.},
  author={Filippo Terragni and Manuel Carretero and Vincenzo Capasso and Luis L. Bonilla},
  journal={Physical review. E},
  year={2016},
  volume={93 2},
  pages={
          022413
        }
}
A recent conceptual model of tumor-driven angiogenesis including branching, elongation, and anastomosis of blood vessels captures some of the intrinsic multiscale structures of this complex system, yet allowing one to extract a deterministic integro-partial-differential description of the vessel tip density [Phys. Rev. E 90, 062716 (2014)]. Here we solve the stochastic model, show that ensemble averages over many realizations correspond to the deterministic equations, and fit the anastomosis… 
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