Solitonlike attractor for blood vessel tip density in angiogenesis

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Show simple item record López Bonilla, Luis Francisco Carretero Cerrajero, Manuel Terragni, Filippo 2020-11-18T13:07:30Z 2020-11-18T13:07:30Z 2016-12-30
dc.identifier.bibliographicCitation Bonilla, L.L, Carretero, M. y Terragni, F. (2016). Solitonlike attractor for blood vessel tip density in angiogenesis. Physical Review E, 94(6), 062415.
dc.identifier.issn 2470-0045
dc.description.abstract In this work, we derive and solve the equations for the soliton collective coordinates that indicate how the soliton adapts its shape and velocity to varying chemotaxis and diffusion. The vessel tip density can be reconstructed from the soliton formulas. While the stochastic model exhibits large fluctuations, we show that the location of the maximum vessel tip density for different replicas follows closely the soliton peak position calculated either by ensemble averages or by solving an alternative deterministic description of the density. The simple soliton collective coordinate equations may also be used to ascertain the response of the vessel network to changes in the parameters and thus to control it.
dc.description.sponsorship We thank Vincenzo Capasso, Bjorn Birnir, and Boris Malomed for fruitful discussions. This work has been supported by the Ministerio de Economía y Competitividad grant MTM2014-56948-C2-2-P.
dc.format.extent 17
dc.language.iso eng
dc.publisher American Physical Society
dc.rights © 2016 American Physical Society.
dc.title Solitonlike attractor for blood vessel tip density in angiogenesis
dc.type article
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2014-56948-C2-2-P
dc.type.version publishedVersion
dc.identifier.publicationissue 6 (062415)
dc.identifier.publicationtitle Physical Review E
dc.identifier.publicationvolume 94
dc.identifier.uxxi AR/0000018622
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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