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 |
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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 |
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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 |
|