The linear stability for a free boundary problem modeling multilayer tumor growth with time delay
DOI10.1002/mma.8227zbMath1527.35504arXiv2108.00183WikidataQ116009432 ScholiaQ116009432MaRDI QIDQ6091738
Wenhua He, Ruixiang Xing, Bei Hu
Publication date: 27 November 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.00183
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Free boundary problems for PDEs (35R35)
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Cites Work
- Analysis of a mathematical model for tumor growth under indirect effect of inhibitors with time delay in proliferation
- Well-posedness and stability of a multi-dimensional tumor growth model
- Analysis of tumor growth under direct effect of inhibitors with time delays in proliferation
- Analysis of a mathematical model for the growth of tumors
- The effect of time delays on the dynamics of avascular tumor growth
- Modelling the role of cell-cell adhesion in the growth and development of carcinomas
- Time delays in proliferation process for solid avascular tumour
- Bifurcation for a free boundary problem modeling tumor growth with ECM and MDE interactions
- Analysis of a time-delayed free boundary problem for solid tumor growth with angiogenesis and direct influence of inhibitors
- Symmetry-breaking bifurcation for a free-boundary tumor model with time delay
- Asymptotic stability for a free boundary tumor model with angiogenesis
- Analysis of a free boundary problem for tumor growth with angiogenesis and time delays in proliferation
- The impact of time delay in a tumor model
- Bifurcation for a free boundary problem with surface tension modeling the growth of multi-layer tumors
- Bifurcation from stability to instability for a free boundary problem arising in a tumor model
- Asymptotic stability for a free boundary problem arising in a tumor model
- Analysis of mathematical models for the growth of tumors with time delays in cell proliferation
- Qualitative analysis of a time-delayed free boundary problem for tumor growth under the action of external inhibitors
- Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model
- A Free Boundary Problem for an Elliptic–Parabolic System: Application to a Model of Tumor Growth
- Bifurcation for a free boundary problem modeling the growth of multilayer tumors with ECM and MDE interactions
- Models for the Growth of a Solid Tumor by Diffusion
- Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: An application to a model of tumor growth
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