Details
| Original language | English |
|---|---|
| Pages (from-to) | 113-147 |
| Number of pages | 35 |
| Journal | European Journal of Applied Mathematics |
| Volume | 19 |
| Issue number | 2 |
| Publication status | Published - Apr 2008 |
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.
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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In: European Journal of Applied Mathematics, Vol. 19, No. 2, 04.2008, p. 113-147.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions
AU - Walker, Christoph
N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/4
Y1 - 2008/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=41149130747&partnerID=8YFLogxK
U2 - 10.1017/S095679250800733X
DO - 10.1017/S095679250800733X
M3 - Article
AN - SCOPUS:41149130747
VL - 19
SP - 113
EP - 147
JO - European Journal of Applied Mathematics
JF - European Journal of Applied Mathematics
SN - 0956-7925
IS - 2
ER -