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Soliton driven angiogenesis

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.contributor.authorLópez Bonilla, Luis Francisco
dc.contributor.authorCarretero Cerrajero, Manuel
dc.contributor.authorTerragni, Filippo
dc.contributor.authorBirnir, Bjorn
dc.date.accessioned2016-10-25T08:26:38Z
dc.date.available2016-10-25T08:26:38Z
dc.date.issued2016-08-09
dc.description.abstractAngiogenesis is a multiscale process by which blood vessels grow from existing ones and carry oxygen to distant organs. Angiogenesis is essential for normal organ growth and wounded tissue repair but it may also be induced by tumours to amplify their own growth. Mathematical and computational models contribute to understanding angiogenesis and developing anti-angiogenic drugs, but most work only involves numerical simulations and analysis has lagged. A recent stochastic model of tumour-induced angiogenesis including blood vessel branching, elongation, and anastomosis captures some of its intrinsic multiscale structures, yet allows one to extract a deterministic integropartial differential description of the vessel tip density. Here we find that the latter advances chemotactically towards the tumour driven by a soliton (similar to the famous Korteweg-de Vries soliton) whose shape and velocity change slowly. Analysing these collective coordinates paves the way for controlling angiogenesis through the soliton, the engine that drives this process.en
dc.description.sponsorshipThis work has been supported by the Ministerio de Economía y Competitividad grant MTM2014-56948-C2-2-P and by the NILS Mobility project (European Economic Area-EEA grant). BB has been supported by a Chair off Excellence UC3M-Santander at the Universidad Carlos III de Madrid.en
dc.format.extent7
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationScientific reports, 2016, 6, pp. 1-7
dc.identifier.doi10.1038/srep31296
dc.identifier.issn2045-2322
dc.identifier.publicationfirstpage1
dc.identifier.publicationlastpage7
dc.identifier.publicationtitleScientific reportsen
dc.identifier.publicationvolume6
dc.identifier.urihttps://hdl.handle.net/10016/23755
dc.identifier.uxxiAR/0000018170
dc.language.isoeng
dc.publisherNaturees
dc.relation.projectIDGobierno de España. MTM-2014-56948-C2-2-Pes
dc.relation.publisherversionhttps://doi.org/10.1038/srep31296
dc.rightsReconocimiento 3.0 España
dc.rights© The Author(s) 2016
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subject.ecienciaMaterialeses
dc.subject.ecienciaQuímicaes
dc.subject.otherAngiogenesisen
dc.titleSoliton driven angiogenesisen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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