Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis
From MaRDI portal
Publication:5024402
DOI10.1142/S0218202521500585zbMath1482.35277arXiv2009.11159MaRDI QIDQ5024402
Luca Scarpa, Andrea Signori, Elisabetta Rocca
Publication date: 31 January 2022
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.11159
optimal controlinverse problemtumor growthwell-posednessparameter identificationCahn-Hilliard equationasymptotic analysis
Asymptotic behavior of solutions to PDEs (35B40) Fréchet and Gateaux differentiability in optimization (49J50) Inverse problems for PDEs (35R30) General biology and biomathematics (92B05) Cell movement (chemotaxis, etc.) (92C17)
Related Items
Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms, Degenerate Cahn-Hilliard equation: from nonlocal to local, Optimal distributed control for a viscous non-local tumour growth model, Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth, Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth, Optimal distributed control of two-dimensional Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential
Cites Work
- Unnamed Item
- Unnamed Item
- On a Cahn-Hilliard type phase field system related to tumor growth
- Convective nonlocal Cahn-Hilliard equations with reaction terms
- On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions
- Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth
- Analysis of a Cahn-Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis
- Parameter identification via optimal control for a Cahn-Hilliard-chemotaxis system with a variable mobility
- Local asymptotics for nonlocal convective Cahn-Hilliard equations with \(W^{1,1}\) kernel and singular potential
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth
- Compact sets in the space \(L^ p(0,T;B)\)
- Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
- Optimal control of treatment time in a diffuse interface model of tumor growth
- On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities
- On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms
- Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis
- The nonlocal Cahn-Hilliard equation with singular potential: well-posedness, regularity and strict separation property
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials
- Optimal medication for tumors modeled by a Cahn-Hilliard-Brinkman equation
- Long-time dynamics and optimal control of a diffuse interface model for tumor growth
- Penalisation of long treatment time and optimal control of a tumour growth model of Cahn-Hilliard type with singular potential
- Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials
- Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics
- Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms
- Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme
- Optimal distributed control of an extended model of tumor growth with logarithmic potential
- A continuum approach to modelling cell-cell adhesion
- On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects
- Nonlocal and local models for taxis in cell migration: a rigorous limit procedure
- Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms
- Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach
- Global weak solutions and asymptotic limits of a Cahn-Hilliard-Darcy system modelling tumour growth
- Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
- On the long time behavior of a tumor growth model
- Sliding mode control for a phase field system related to tumor growth
- A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- On a nonlocal Cahn-Hilliard equation with a reaction term
- MATHEMATICAL MODELLING OF CANCER INVASION: THE IMPORTANCE OF CELL–CELL ADHESION AND CELL–MATRIX ADHESION
- Local and global well-posedness for aggregation equations and Patlak–Keller–Segel models with degenerate diffusion
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- Phase Segregation Dynamics in Particle Systems with Long Range Interactions II: Interface Motion
- On a diffuse interface model of tumour growth
- Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport
- A non-local model for cancer stem cells and the tumour growth paradox
- Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation
- On the unsteady Darcy–Forchheimer–Brinkman equation in local and nonlocal tumor growth models
- On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport
- From nonlocal to local Cahn-Hilliard equation
- Well-posedness and regularity for a fractional tumor growth model
- Vanishing parameter for an optimal control problem modeling tumor growth
- Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth
- Learning patient‐specific parameters for a diffuse interface glioblastoma model from neuroimaging data
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth
- On a Cahn--Hilliard--Brinkman Model for Tumor Growth and Its Singular Limits
- Formal asymptotic limit of a diffuse-interface tumor-growth model
- On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation
- Analysis of a diffuse interface model of multispecies tumor growth
- Optimal distributed control of a diffuse interface model of tumor growth
- Boundedness of solutions of a non-local reaction–diffusion model for adhesion in cell aggregation and cancer invasion
- Optimal control of stochastic phase-field models related to tumor growth
- Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities
