Critical mass of lymphocytes for the coexistence in a chemotaxis system modeling tumor-immune cell interactions
From MaRDI portal
Publication:2022991
DOI10.1007/s00033-020-01405-6zbMath1464.35364OpenAlexW3089269915MaRDI QIDQ2022991
Publication date: 3 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01405-6
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17) Classical solutions to PDEs (35A09)
Related Items
Homogenization and solvability in a chemotaxis-convection angiogenesis model with leakage boundary conditions, The role of local kinetics in a three-component chemotaxis model for Alopecia areata
Cites Work
- Unnamed Item
- Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
- Reaction-diffusion-advection models for the effects and evolution of dispersal
- Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation
- Bifurcation for a free-boundary tumor model with angiogenesis
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Global stability of prey-taxis systems
- The dynamics of a predator-prey model with diffusion and indirect prey-taxis
- Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
- Initiation of slime mold aggregation viewed as an instability
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- A user's guide to PDE models for chemotaxis
- Well-posedness and stability of a multi-dimensional tumor growth model
- The evolution of conditional dispersal strategies in spatially heterogeneous habitats
- Résolution de problèmes elliptiques quasilineaires
- Steady-state distribution of bacteria chemotactic toward oxygen
- Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
- Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension
- Mathematical modeling of tumor-immune cell interactions
- Diffusion, self-diffusion and cross-diffusion
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
- The impact of time delay in a tumor model
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Boundedness vs. blow-up in a chemotaxis system
- Bifurcation from stability to instability for a free boundary problem arising in a tumor model
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Predator–prey model with diffusion and indirect prey-taxis
- Bacterial swimming and oxygen transport near contact lines
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- Boundedness and stabilization in a population model with cross‐diffusion for one species
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Bifurcation Analysis of an Elliptic Free Boundary Problem Modelling the Growth of Avascular Tumors
