  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 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 rate coefficient so that the
total number of vessel tips evolves similarly in the deterministic and ensemble
averaged stochastic descriptions.
