Two dimensional soliton in tumor induced angiogenesis

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dc.contributor.author López Bonilla, Luis Francisco
dc.contributor.author Carretero Cerrajero, Manuel
dc.contributor.author Terragni, Filippo
dc.date.accessioned 2020-11-17T09:45:31Z
dc.date.available 2021-08-05T23:00:04Z
dc.date.issued 2020-08-05
dc.identifier.bibliographicCitation Bonilla, L.L., Carretero, M. y Terragni, F. (2020). Two dimensional soliton in tumor induced angiogenesis. Journal of Statistical Mechanics: Theory and Experiment.
dc.identifier.issn 1742-5468
dc.identifier.uri http://hdl.handle.net/10016/31427
dc.description.abstract Ensemble averages of a stochastic model show that, after a formation stage, the tips of active blood vessels in an angiogenic network form a moving two dimensional stable diffusive soliton, which advances toward sources of growth factor. Here we use methods of multiple scales to find the diffusive soliton as a solution of a deterministic equation for the mean density of active endothelial cells tips. We characterize the diffusive soliton shape in a general geometry, and find that its vector velocity and the trajectory of its center of mass along curvilinear coordinates solve appropriate collective coordinate equations. The vessel tip density predicted by the soliton compares well with that obtained by ensemble averages of simulations of the stochastic model.
dc.description.sponsorship This work has been supported by the FEDER/Ministerio de Ciencia, Innovación y Universidades–Agencia Estatal de Investigación grant MTM2017-84446-C2-2-R.
dc.format.extent 35
dc.language.iso eng
dc.publisher IOP Science
dc.rights © 2020 IOP Publishing Ltd and SISSA Medialab srl.
dc.subject.other Noise models
dc.subject.other Nonlinear dynamics
dc.subject.other Pattern formation
dc.subject.other Systems biology
dc.title Two dimensional soliton in tumor induced angiogenesis
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1088/1742-5468/aba598
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2017-84446-C2-2-R
dc.type.version acceptedVersion
dc.identifier.publicationtitle Journal of Statistical Mechanics: Theory and Experiment
dc.identifier.uxxi AR/0000026231
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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