Details
| Original language | English |
|---|---|
| Pages (from-to) | 79-90 |
| Number of pages | 12 |
| Journal | Archiv der Mathematik |
| Volume | 97 |
| Issue number | 1 |
| Publication status | Published - 7 Jul 2011 |
Abstract
In this paper we deal with a free boundary problem modeling the growth of nonnecrotic tumors. The tumor is treated as an incompressible fluid, the tissue elasticity is neglected and no chemical inhibitor species are present. We re-express the mathematical model as an operator equation and by using a bifurcation argument we prove that there exist smooth stationary solutions of the problem which are not radially symmetric.
Keywords
- Bifurcation from simple eigenvalues, Steady-state, Tumor growth
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Archiv der Mathematik, Vol. 97, No. 1, 07.07.2011, p. 79-90.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Bifurcation analysis for a free boundary problem modeling tumor growth
AU - Escher, Joachim
AU - Matioc, Anca Voichita
PY - 2011/7/7
Y1 - 2011/7/7
N2 - In this paper we deal with a free boundary problem modeling the growth of nonnecrotic tumors. The tumor is treated as an incompressible fluid, the tissue elasticity is neglected and no chemical inhibitor species are present. We re-express the mathematical model as an operator equation and by using a bifurcation argument we prove that there exist smooth stationary solutions of the problem which are not radially symmetric.
AB - In this paper we deal with a free boundary problem modeling the growth of nonnecrotic tumors. The tumor is treated as an incompressible fluid, the tissue elasticity is neglected and no chemical inhibitor species are present. We re-express the mathematical model as an operator equation and by using a bifurcation argument we prove that there exist smooth stationary solutions of the problem which are not radially symmetric.
KW - Bifurcation from simple eigenvalues
KW - Steady-state
KW - Tumor growth
UR - http://www.scopus.com/inward/record.url?scp=79960260901&partnerID=8YFLogxK
U2 - 10.1007/s00013-011-0276-8
DO - 10.1007/s00013-011-0276-8
M3 - Article
AN - SCOPUS:79960260901
VL - 97
SP - 79
EP - 90
JO - Archiv der Mathematik
JF - Archiv der Mathematik
SN - 0003-889X
IS - 1
ER -