Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis

DOI10.1016/J.JMAA.2019.123474zbMath1439.35101OpenAlexW2972032911MaRDI QIDQ2326008

Genglin Li, Youshan Tao

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123474

zbMATH Keywords

one space dimensionglobal smooth solutionhomogeneous Neumann boundary conditions

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Homogenization and solvability in a chemotaxis-convection angiogenesis model with leakage boundary conditions ⋮ Boundedness in a high-dimensional forager-exploiter model with nonlinear resource consumption by two species ⋮ Blow-up prevention by logistic source in an \(N\)-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis ⋮ Chemotaxis systems in complex frameworks: Pattern formation, qualitative analysis and blowup prevention ⋮ Global bounded solution to a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis ⋮ Global boundedness and stabilization under small initial data condition in a two-dimensional chemotaxis-convection model ⋮ The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis ⋮ Global generalized solutions to a chemotaxis model of capillary-sprout growth during tumor angiogenesis ⋮ Boundedness of a chemotaxis-convection model describing tumor-induced angiogenesis

Cites Work

• Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
• Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
• Boundedness vs. blow-up in a chemotaxis system
• Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
• Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
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