Citation:
Terragni, F., Carretero, M., Capasso, V. y Bonilla, L. L. (2016). Stochastic model of tumor-induced angiogenesis: Ensemble averages and deterministic equations. Physical Review E, 93(2), 022413.
xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Ministerio de Economía y Competitividad (España)
Sponsor:
This work has been supported by the Spanish Ministerio de Economía y Competitividad Grants No. FIS2011-28838-C02-01 and No. MTM2014-56948-C2-2-P. V.C. has been supported by a Chair of Excellence UC3M-Santander at the Universidad Carlos III de Madrid. We thank Daniela Morale (University of Milan) for fruitful discussions and Mariano
Alvaro (Universidad Carlos III) for letting us use his code for solving the system of deterministic equations.
Project:
Gobierno de España. MTM2014-56948-C2-2-P Gobierno de España. FIS2011-28838-C02-01
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-diA 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 rate coefficient so that the total number of vessel tips evolves similarly in the deterministic and ensemble-averaged stochastic descriptions.[+][-]