Bifurcation for a free boundary problem modeling tumor growth with ECM and MDE interactions
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Publication:1644321
DOI10.1016/j.nonrwa.2018.02.013zbMath1448.92100OpenAlexW2794793108MaRDI QIDQ1644321
Publication date: 21 June 2018
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.02.013
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)
Related Items (13)
Bifurcation for a free boundary problem modeling a small arterial plaque ⋮ Linear Stability Analysis for a Free Boundary Problem Modeling Multilayer Tumor Growth with Time Delay ⋮ Symmetry-breaking bifurcation for a free-boundary tumor model with time delay ⋮ Bifurcation for a free-boundary problem modeling small plaques with reverse cholesterol transport ⋮ The linear stability for a free boundary problem modeling multilayer tumor growth with time delay ⋮ Bifurcation analysis of a free boundary problem modeling multilayered tumor growth with time delay ⋮ On the first bifurcation point for a free boundary problem modeling a small arterial plaque ⋮ The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients ⋮ Convergence analysis of neural networks for solving a free boundary problem ⋮ The impact of time delay in a tumor model ⋮ Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes ⋮ Symmetry-breaking bifurcations for free boundary problems modeling tumor growth ⋮ A tumor growth model with autophagy: the reaction-(cross-)diffusion system and its free boundary limit
Cites Work
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- Continuation along bifurcation branches for a tumor model with a necrotic core
- Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core
- Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation
- Bifurcation for a free-boundary tumor model with angiogenesis
- Bifurcation analysis for a free boundary problem modeling tumor growth
- Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation
- Bifurcation for a free boundary problem modeling a protocell
- Bifurcations for a multidimensional free boundary problem modeling the growth of tumor cord
- The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems
- Multiscale modelling and nonlinear simulation of vascular tumour growth
- Bifurcation for a free boundary problem with surface tension modeling the growth of multi-layer tumors
- Bifurcation for a free boundary problem modeling the growth of tumors with a drug induced nonlinear proliferation rate
- Bifurcation for a free boundary problem modeling the growth of multi-layer tumors
- Bifurcation from stability to instability for a free boundary problem arising in a tumor model
- Bifurcation for a free boundary problem modeling tumor growth with inhibitors
- Bifurcation from simple eigenvalues
- Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
- Bifurcation analysis of a free boundary problem modelling tumour growth under the action of inhibitors
- Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model
- Modelling Aspects of Cancer Growth: Insight from Mathematical and Numerical Analysis and Computational Simulation
- Stability and bifurcation analysis of a free boundary problem modelling multi-layer tumours with Gibbs–Thomson relation
- Bifurcation analysis of amathematical model for the growth of solid tumors in the presence of external inhibitors
- Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation
- Bifurcation Analysis of an Elliptic Free Boundary Problem Modelling the Growth of Avascular Tumors
- A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
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