On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport
出版年份 2021 全文链接
标题
On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport
作者
关键词
-
出版物
NONLINEARITY
Volume 34, Issue 5, Pages 3199-3250
出版商
IOP Publishing
发表日期
2021-05-13
DOI
10.1088/1361-6544/abe75d
参考文献
相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。- Optimal control of stochastic phase-field models related to tumor growth
- (2020) Carlo Orrieri et al. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
- Weak and stationary solutions to a Cahn–Hilliard–Brinkman model with singular potentials and source terms
- (2020) Matthias Ebenbeck et al. Advances in Nonlinear Analysis
- Mathematical models for cell migration: a non-local perspective
- (2020) Li Chen et al. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES
- Nonlocal-to-Local Convergence of Cahn–Hilliard Equations: Neumann Boundary Conditions and Viscosity Terms
- (2020) Elisa Davoli et al. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects
- (2020) Harald Garcke et al. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
- Two-dimensional nonlocal Cahn–Hilliard–Navier–Stokes systems with variable viscosity, degenerate mobility and singular potential
- (2019) S Frigeri et al. NONLINEARITY
- Long-Time Dynamics and Optimal Control of a Diffuse Interface Model for Tumor Growth
- (2019) Cecilia Cavaterra et al. APPLIED MATHEMATICS AND OPTIMIZATION
- Optimal Distributed Control of a Cahn–Hilliard–Darcy System with Mass Sources
- (2019) Jürgen Sprekels et al. APPLIED MATHEMATICS AND OPTIMIZATION
- Optimal medication for tumors modeled by a Cahn–Hilliard–Brinkman equation
- (2019) Matthias Ebenbeck et al. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
- On the unsteady Darcy–Forchheimer–Brinkman equation in local and nonlocal tumor growth models
- (2019) Marvin Fritz et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Vanishing parameter for an optimal control problem modeling tumor growth
- (2019) Andrea Signori ASYMPTOTIC ANALYSIS
- Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth
- (2019) Patrik Knopf et al. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
- On the long time behavior of a tumor growth model
- (2019) Alain Miranville et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Local and Nonlocal Phase-Field Models of Tumor Growth and Invasion Due to ECM Degradation
- (2019) Marvin Fritz et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- A Distributed Control Problem for a Fractional Tumor Growth Model
- (2019) Pierluigi Colli et al. Mathematics
- Degenerate nonlocal Cahn-Hilliard equations: Well-posedness, regularity and local asymptotics
- (2019) Elisa Davoli et al. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
- Asymptotic analysis of a tumor growth model with fractional operators
- (2019) Pierluigi Colli et al. ASYMPTOTIC ANALYSIS
- Well-posedness for the Brinkman–Cahn–Hilliard system with unmatched viscosities
- (2019) Monica Conti et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Well-Posedness of a Diffuse Interface model for Hele-Shaw Flows
- (2019) Andrea Giorgini Journal of Mathematical Fluid Mechanics
- The Cahn–Hilliard–Hele–Shaw system with singular potential
- (2018) Andrea Giorgini et al. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
- A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis
- (2018) Harald Garcke et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- On a multi-species Cahn–Hilliard–Darcy tumor growth model with singular potentials
- (2018) Sergio Frigeri et al. Communications in Mathematical Sciences
- The nonlocal Cahn–Hilliard–Hele–Shaw system with logarithmic potential
- (2018) Francesco Della Porta et al. NONLINEARITY
- Optimal Distributed Control of an Extended Model of Tumor Growth with Logarithmic Potential
- (2018) Andrea Signori APPLIED MATHEMATICS AND OPTIMIZATION
- Analysis of a Cahn–Hilliard–Brinkman model for tumour growth with chemotaxis
- (2018) Matthias Ebenbeck et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- The nonlocal Cahn–Hilliard equation with singular potential: Well-posedness, regularity and strict separation property
- (2017) Ciprian G. Gal et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- A space-jump derivation for non-local models of cell–cell adhesion and non-local chemotaxis
- (2017) Andreas Buttenschön et al. JOURNAL OF MATHEMATICAL BIOLOGY
- A Cahn-Hilliard-type equation with application to tumor growth dynamics
- (2017) Abramo Agosti et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation
- (2017) Christian Engwer et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Analysis of a diffuse interface model of multispecies tumor growth
- (2017) Mimi Dai et al. NONLINEARITY
- Optimal distributed control of a diffuse interface model of tumor growth
- (2017) Pierluigi Colli et al. NONLINEARITY
- Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport
- (2016) HARALD GARCKE et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- On Nonlocal Cahn–Hilliard–Navier–Stokes Systems in Two Dimensions
- (2016) Sergio Frigeri et al. JOURNAL OF NONLINEAR SCIENCE
- Selection, calibration, and validation of models of tumor growth
- (2016) E. A. B. F. Lima et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
- (2016) Harald Garcke et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Asymptotic analyses and error estimates for a Cahn--Hilliard type phase field system modelling tumor growth
- (2016) Jürgen Sprekels et al. Discrete and Continuous Dynamical Systems-Series S
- On a diffuse interface model of tumour growth
- (2015) SERGIO FRIGERI et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Well-posedness and long-time behavior of a non-autonomous Cahn–Hilliard–Darcy system with mass source modeling tumor growth
- (2015) Jie Jiang et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Formal asymptotic limit of a diffuse-interface tumor-growth model
- (2015) Danielle Hilhorst et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Vanishing viscosities and error estimate for a Cahn–Hilliard type phase field system related to tumor growth
- (2015) Pierluigi Colli et al. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
- A diffuse interface model for two-phase incompressible flows with non-local interactions and non-constant mobility
- (2015) Sergio Frigeri et al. NONLINEARITY
- On a Cahn-Hilliard type phase field system related to tumor growth
- (2015) Pierluigi Colli et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth
- (2012) Andrea Hawkins-Daarud et al. JOURNAL OF MATHEMATICAL BIOLOGY
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- (2011) Andrea Hawkins-Daarud et al. International Journal for Numerical Methods in Biomedical Engineering
- Global existence of weak solutions to a nonlocal Cahn–Hilliard–Navier–Stokes system
- (2011) Pierluigi Colli et al. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Local and global well-posedness for aggregation equations and Patlak–Keller–Segel models with degenerate diffusion
- (2011) Jacob Bedrossian et al. NONLINEARITY
- MATHEMATICAL MODELLING OF CANCER INVASION: THE IMPORTANCE OF CELL–CELL ADHESION AND CELL–MATRIX ADHESION
- (2010) MARK A. J. CHAPLAIN et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Boundedness of solutions of a non-local reaction–diffusion model for adhesion in cell aggregation and cancer invasion
- (2008) JONATHAN A. SHERRATT et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- A user’s guide to PDE models for chemotaxis
- (2008) T. Hillen et al. JOURNAL OF MATHEMATICAL BIOLOGY
- Three-dimensional multispecies nonlinear tumor growth—I
- (2008) S.M. Wise et al. JOURNAL OF THEORETICAL BIOLOGY
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- (2008) N. BELLOMO et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion
- (2007) A. Gerisch et al. JOURNAL OF THEORETICAL BIOLOGY
Publish scientific posters with Peeref
Peeref publishes scientific posters from all research disciplines. Our Diamond Open Access policy means free access to content and no publication fees for authors.
Learn MoreCreate your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create Now