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A recent conceptual model of tumor-driven angiogenesis including branching,elongation, and anastomosis of blood vessels captures some of the intrinsicmultiscale structures of this complex system, yet allowing to extract adeterministic integro-partial differential description of the vessel tipdensity [Phys. Rev. E 90, 062716 (2014)]. Here we solve the stochastic model,show that ensemble averages over many realizations correspond to thedeterministic equations, and fit the anastomosis rate coefficient so that thetotal number of vessel tips evolves similarly in the deterministic and ensembleaveraged stochastic descriptions.

Stochastic Model of Tumor-induced Angiogenesis: Ensemble Averages and Deterministic Equations