Stochastic Model of Tumor-induced Angiogenesis: Ensemble Averages and Deterministic Equations
Tissues and Organs
2016-02-24 v1 Statistical Mechanics
Biological Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1602.06937,
title = {Stochastic Model of Tumor-induced Angiogenesis: Ensemble Averages and Deterministic Equations},
author = {F. Terragni and M. Carretero and V. Capasso and L. L. Bonilla},
journal= {arXiv preprint arXiv:1602.06937},
year = {2016}
}
Comments
26 pages, 8 figures