Publication:
Two dimensional soliton in tumor induced angiogenesis

Simple item page
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.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2020-11-17T09:45:31Z
dc.date.available2021-08-05T23:00:04Z
dc.date.issued2020-08-05
dc.description.abstractEnsemble 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.en
dc.description.sponsorshipThis work has been supported by the FEDER/Ministerio de Ciencia, Innovación y Universidades–Agencia Estatal de Investigación grant MTM2017-84446-C2-2-R.en
dc.format.extent35
dc.identifier.bibliographicCitationBonilla, L.L., Carretero, M. y Terragni, F. (2020). Two dimensional soliton in tumor induced angiogenesis. Journal of Statistical Mechanics: Theory and Experiment.en
dc.identifier.doihttps://doi.org/10.1088/1742-5468/aba598
dc.identifier.issn1742-5468
dc.identifier.publicationtitleJournal of Statistical Mechanics: Theory and Experimenten
dc.identifier.urihttps://hdl.handle.net/10016/31427
dc.identifier.uxxiAR/0000026231
dc.language.isoengen
dc.publisherIOP Scienceen
dc.relation.projectIDGobierno de España. MTM2017-84446-C2-2-Res
dc.rights© 2020 IOP Publishing Ltd and SISSA Medialab srl.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherNoise modelsen
dc.subject.otherNonlinear dynamicsen
dc.subject.otherPattern formationen
dc.subject.otherSystems biologyen
dc.titleTwo dimensional soliton in tumor induced angiogenesisen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
dimensional_JSMTE_2020_ps.pdf
Size:
965.54 KB
Format:
Adobe Portable Document Format
Download
Collections
DM - MSNMI - Artículos de Revistas