Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor
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Publication:6602161
DOI10.1090/PROC/16867MaRDI QIDQ6602161
Publication date: 11 September 2024
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Boundedness of the attraction-repulsion Keller-Segel system
- Global existence for reaction-diffusion systems with nonlinear diffusion and control of mass
- Application of an Adams type inequality to a two-chemical substances chemotaxis system
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- The impact of phenotypic heterogeneity on chemotactic self-organisation
- Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis
- Global Boundedness in a quasilinear fully parabolic chemotaxis system with indirect signal production
- Boundedness vs. blow-up in a chemotaxis system
- Stabilization in a chemotaxis model for tumor invasion
- Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour
- MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION
- Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection
- A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System
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