Global solvability and stabilization to a cancer invasion model with remodelling of ECM
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Publication:5130935
DOI10.1088/1361-6544/ab9249zbMath1451.35236OpenAlexW3081474012WikidataQ111491643 ScholiaQ111491643MaRDI QIDQ5130935
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Publication date: 30 October 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ab9249
uniform boundednesslarge time behaviourglobal classical solutionchemotaxis-haptotaxisECM remodelling
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for PDEs of mixed type (35M13) Classical solutions to PDEs (35A09)
Related Items
Global weak solutions in a three-dimensional two-species cancer invasion haptotaxis model without cell proliferation, Finite time blow-up in the higher dimensional parabolic-elliptic-ODE minimal chemotaxis-haptotaxis system, Stabilization to a cancer invasion model with remodeling mechanism and slow diffusion, Uniform boundedness and eventual Hölder continuity to a cancer invasion model with remodeling of ECM and nonlinear diffusion, Global existence of a diffusive predator-prey model with prey-stage structure and prey-taxis, Boundedness in a two-dimensional two-species cancer invasion haptotaxis model without cell proliferation, Global Solvability and Stability of an Alarm-Taxis System
Cites Work
- Boundedness in a three-dimensional chemotaxis-haptotaxis model
- Global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
- Global existence for a haptotaxis model of cancer invasion with tissue remodeling
- Global stability of prey-taxis systems
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source
- Boundedness and global solvability to a chemotaxis-haptotaxis model with slow and fast diffusion
- Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
- How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Large time behavior of solutions to a chemotaxis model with porous medium diffusion
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- Large time behavior of solutions to a fully parabolic chemotaxis-haptotaxis model in \(N\) dimensions
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Global solution for a chemotactic–haptotactic model of cancer invasion
- A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
- Heat kernels and maximal lp—lqestimates for parabolic evolution equations
- Global classical solution and boundedness to a chemotaxis-haptotaxis model with re-establishment mechanisms
- A note for global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant
- Global boundedness of solutions to a chemotaxis–haptotaxis model with tissue remodeling
- Global existence and large time behavior of solutions to a haptotaxis model with self-remodeling mechanisms
- A new result for 2D boundedness of solutions to a chemotaxis–haptotaxis model with/without sub-logistic source
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- Large time behavior of solution to a fully parabolic chemotaxis-haptotaxis model in higher dimensions
