Haptotaxis-chemotaxis tumor invasion with weighted mass-conservative quantity

DOI10.1007/s44007-023-00050-5zbMath1519.35205WikidataQ120555965 ScholiaQ120555965MaRDI QIDQ6108934

Akio Ito

Publication date: 30 June 2023

Published in: La Matematica (Search for Journal in Brave)

zbMATH Keywords

chemotaxishaptotaxistumor invasionmass-conservative quantity

Mathematics Subject Classification ID

Variational inequalities (49J40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Evolution inclusions (34G25) Nonlinear evolution equations (47J35) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Variational and other types of inclusions (47J22)

Cites Work

• Quasi-variational structure approach to systems with degenerate diffusions
• The existence of time global solutions for tumor invasion models with constraints
• The existence of solutions for tumor invasion models with time and space dependent diffusion
• Stabilization in a chemotaxis model for tumor invasion
• Convergence of convex sets and of solutions of variational inequalities
• A mass-conserved tumor invasion system with quasi-variational degenerate diffusion
• Large Time Behavior in a Chemotaxis Model with Nonlinear General Diffusion for Tumor Invasion
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