Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions

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dc.identifier.uri http://dx.doi.org/10.15488/2679
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2705
dc.contributor.author Walker, Christoph
dc.date.accessioned 2018-01-29T12:57:26Z
dc.date.available 2018-01-29T12:57:26Z
dc.date.issued 2008
dc.identifier.citation Walker, C.: Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions. In: European Journal of Applied Mathematics 19 (2008), Nr. 2, S. 113-147. DOI: https://doi.org/10.1017/S095679250800733X
dc.description.abstract A model focusing on key components involved in tumour invasion is studied. Tumour cell migration is based on cell motility and haptotaxis, i.e., the directed migratory response of tumour cells up gradients of cell-adhesion molecules. Individual cell processes are modelled according to cell age and several tumour phenotypes are incorporated. Global existence and uniqueness of nonnegative solutions to the corresponding coupled system of nonlinear partial differential equations are shown. © 2008 Cambridge University Press. eng
dc.language.iso eng
dc.publisher Cambridge : Cambridge University Press
dc.relation.ispartofseries European Journal of Applied Mathematics 19 (2008), Nr. 2
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject tumour invasion eng
dc.subject Tumour cell migration eng
dc.subject haptotaxis eng
dc.subject age-diffusion evolution operator eng
dc.subject.ddc 510 | Mathematik ger
dc.title Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions eng
dc.type Article
dc.type Text
dc.relation.issn 0956-7925
dc.relation.doi https://doi.org/10.1017/S095679250800733X
dc.bibliographicCitation.issue 2
dc.bibliographicCitation.volume 19
dc.bibliographicCitation.firstPage 113
dc.bibliographicCitation.lastPage 147
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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