Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients
From MaRDI portal
Publication:2113875
DOI10.1016/j.nonrwa.2021.103466zbMath1485.35434arXiv2109.14823OpenAlexW3216103298MaRDI QIDQ2113875
Publication date: 14 March 2022
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.14823
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A three-dimensional steady-state tumor system
- Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation
- Analysis of a free-boundary tumor model with angiogenesis
- Bifurcation for a free-boundary tumor model with angiogenesis
- Asymptotic behavior of solutions of a free boundary problem modeling tumor spheroid with Gibbs-Thomson relation
- Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors
- Well-posedness and stability of a multi-dimensional tumor growth model
- Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth
- Analysis of a mathematical model for the growth of tumors
- Modelling the role of cell-cell adhesion in the growth and development of carcinomas
- Nonlinear simulation of tumor growth
- Bifurcation from stability to instability for a free boundary tumor model with angiogenesis
- Analysis of a free boundary problem modeling the growth of multicell spheroids with angiogenesis
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients
- Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core
- Symmetry-breaking bifurcation for a free-boundary tumor model with time delay
- Asymptotic behavior of a nonlinear necrotic tumor model with a periodic external nutrient supply
- Asymptotic stability for a free boundary tumor model with angiogenesis
- The impact of time delay in a tumor model
- Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes
- Bifurcation for a free boundary problem modeling the growth of tumors with a drug induced nonlinear proliferation rate
- Modelling the cell cycle and cell movement in multicellular tumour spheroids
- 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
- Bifurcation for a free boundary problem modeling tumor growth with inhibitors
- Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
- Asymptotic behavior of solutions of a free boundary problem modeling the growth of tumors with fluid-like tissue under the action of inhibitors
- Asymptotic Stability of the Stationary Solution for a Parabolic-Hyperbolic Free Boundary Problem Modeling Tumor Growth
- Asymptotic Behaviour of Solutions of a Multidimensional Moving Boundary Problem Modeling Tumor Growth
- A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
- Linear stability for a free boundary tumor model with a periodic supply of external nutrients
- Asymptotic Stability of Stationary Solutions of a Free Boundary Problem Modeling the Growth of Tumors with Fluid Tissues
- Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: An application to a model of tumor growth
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
This page was built for publication: Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients