Optimal control for a chemotaxis-haptotaxis model in two space dimensions
From MaRDI portal
Publication:2098274
DOI10.1186/s13661-022-01661-7zbMath1505.92026OpenAlexW4307379341MaRDI QIDQ2098274
Publication date: 17 November 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-022-01661-7
Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence theories for optimal control problems involving partial differential equations (49J20) Cell movement (chemotaxis, etc.) (92C17)
Related Items
Cites Work
- Boundedness in a three-dimensional chemotaxis-haptotaxis model
- Boundedness in a three-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- Exponential attractor for a chemotaxis-growth system of equations
- Parameter identification via optimal control for a Cahn-Hilliard-chemotaxis system with a variable mobility
- On a bi-dimensional chemo-repulsion model with nonlinear production and a related optimal control problem
- Optimal distributed control of a Allen-Cahn/Cahn-Hilliard system with temperature
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Optimal control for a phase field system with a possibly singular potential
- Regularity and stability for the mathematical programming problem in Banach spaces
- Boundedness and global solvability to a chemotaxis-haptotaxis model with slow and fast diffusion
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
- Optimal control for a conserved phase field system with a possibly singular potential
- The combined effects of optimal control in cancer remission
- Global existence and boundedness in a chemotaxis-haptotaxis system with signal-dependent sensitivity
- Convergence and positivity of finite element methods for a haptotaxis model of tumoral invasion
- Optimal control for the coupled chemotaxis-fluid models in two space dimensions
- Optimal control of a fully parabolic attraction-repulsion chemotaxis model with logistic source in 2D
- Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint
- Global boundedness in a three-dimensional chemotaxis-haptotaxis model
- Global attractor for a two-dimensional chemotaxis system with linear degradation and indirect signal production
- Optimal distributed control for a new mechanochemical model in biological patterns
- Optimal control and pattern formation for a haptotaxis model of solid tumor invasion
- Optimal distributed control for a coupled phase-field system
- A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem
- Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- BOUNDEDNESS OF SOLUTIONS OF A HAPTOTAXIS MODEL
- Abstract Parabolic Evolution Equations and their Applications
- Mathematical Modelling of Tumour Invasion and Metastasis
- Global existence of solutions to a chemotaxis‐haptotaxis model with density‐dependent jump probability and quorum‐sensing mechanisms
- A note for global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant
- An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model
- Optimal control of a new mechanochemical model with state constraint
- Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
- Optimal distributed control of a diffuse interface model of tumor growth
- Optimal control of Keller-Segel equations
- Large time behavior of solution to a fully parabolic chemotaxis-haptotaxis model in higher dimensions
