Bifurcation analysis for a free-boundary tumor model with angiogenesis and inhibitor
Abstract This paper is concerned with the bifurcation phenomenon of a free-boundary problem modeling the tumor growth under the action of angiogenesis and inhibitor. Taking the surface tension coefficient γ as a bifurcation parameter, we prove that there exist a positive integer m∗∗ $m^{**}$ and a s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-06-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1014-y |
| Summary: | Abstract This paper is concerned with the bifurcation phenomenon of a free-boundary problem modeling the tumor growth under the action of angiogenesis and inhibitor. Taking the surface tension coefficient γ as a bifurcation parameter, we prove that there exist a positive integer m∗∗ $m^{**}$ and a sequence of γm $\gamma_{m}$ such that, for every γm $\gamma_{m}$ ( m>m∗∗ $m>m^{**}$), symmetry-breaking stationary solutions bifurcate from the radially symmetric stationary solutions. |
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| ISSN: | 1687-2770 |