Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain
From MaRDI portal
Publication:2021517
DOI10.1007/s00033-021-01485-yzbMath1465.92037arXiv2004.07500OpenAlexW3131106296MaRDI QIDQ2021517
Myeongju Chae, Jihoon Lee, Jaewook Ahn
Publication date: 27 April 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.07500
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Initial-boundary value problems for second-order parabolic systems (35K51) Pathology, pathophysiology (92C32)
Related Items (3)
Patterning of nonlocal transport models in biology: the impact of spatial dimension ⋮ Propagation of chaos in the nonlocal adhesion models for two cancer cell phenotypes ⋮ Non-local multiscale approach for the impact of go or grow hypothesis on tumour-viruses interactions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time behavior of an angiogenesis model with flux at the tumor boundary
- Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns
- A Lagrangian approach for the compressible Navier-Stokes equations
- On a parabolic-elliptic chemotactic model with coupled boundary conditions
- Adding adhesion to a chemical signaling model for somite formation
- A nonlocal model for contact attraction and repulsion in heterogeneous cell populations
- Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
- An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
- Semigroups and nonlinear evolution equations
- Geometric theory of semilinear parabolic equations
- A cosine operator approach to modeling \(L_ 2(\)0,T;\(L_ 2(\)Gammma))- boundary input hyperbolic equations
- The impact of adhesion on cellular invasion processes in cancer and development
- Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- Non-local parabolic and hyperbolic models for cell polarisation in heterogeneous cancer cell populations
- Global boundedness of classical solutions to a two species cancer invasion haptotaxis model with tissue remodeling
- A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy
- A continuum approach to modelling cell-cell adhesion
- Nonlocal and local models for taxis in cell migration: a rigorous limit procedure
- Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- A mathematical framework for modelling the metastatic spread of cancer
- Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\)
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Introduction to Smooth Manifolds
- Intracellular Modelling of Cell-Matrix Adhesion during Cancer Cell Invasion
- ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
- Lp theory for the multidimensional aggregation equation
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- Global solution for a chemotactic–haptotactic model of cancer invasion
- LPBounds of solutions of reaction-diffusion equations
- Mathematical Modelling of Tumour Invasion and Metastasis
- Global solvability and explicit bounds for non-local adhesion models
- Nonlocal Adhesion Models for Microorganisms on Bounded Domains
- Swarm Equilibria in Domains with Boundaries
- Mathematical modelling of cancer invasion: The multiple roles of TGF-β pathway on tumour proliferation and cell adhesion
- Boundedness of solutions of a non-local reaction–diffusion model for adhesion in cell aggregation and cancer invasion
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
This page was built for publication: Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain
