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

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Show simple item record Terragni, Filippo Carretero Cerrajero, Manuel Capasso ., Vincenzo López Bonilla, Luis Francisco 2020-11-23T13:27:27Z 2020-11-23T13:27:27Z 2016-02-22
dc.identifier.bibliographicCitation 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.
dc.identifier.issn 2470-0045
dc.description.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 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.
dc.description.sponsorship 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.
dc.format.extent 11
dc.language.iso eng
dc.publisher American Physical Society
dc.rights © 2016 American Physical Society.
dc.title Stochastic model of tumor-induced angiogenesis: Ensemble averages and deterministic equations
dc.type article
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2014-56948-C2-2-P
dc.relation.projectID Gobierno de España. FIS2011-28838-C02-01
dc.type.version publishedVersion
dc.identifier.publicationissue 2
dc.identifier.publicationtitle Physical Review E
dc.identifier.publicationvolume 93
dc.identifier.uxxi AR/0000017748
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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