Propagation of chaos in the nonlocal adhesion models for two cancer cell phenotypes
DOI10.1007/s00332-022-09854-1zbMath1498.82013OpenAlexW4301595895MaRDI QIDQ2083231
Young-Pil Choi, Myeongju Chae, Jihoon Lee, Jaewook Ahn
Publication date: 10 October 2022
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-022-09854-1
propagation of chaosstochastic interacting particle systemsrelative entropy methodnon-local modelscell-cell adhesion
Interacting particle systems in time-dependent statistical mechanics (82C22) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of stochastic analysis (to PDEs, etc.) (60H30) Cell biology (92C37) Stochastic integral equations (60H20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean field limit and propagation of chaos for Vlasov systems with bounded forces
- The heat equaton with general periodic boundary conditions
- Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
- Hydrodynamic limits of the Boltzmann equation
- On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
- The second law of thermodynamics and stability
- Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos
- Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
- Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain
- Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
- Mean-field limits: from particle descriptions to macroscopic equations
- Large friction limit of pressureless Euler equations with nonlocal forces
- Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow
- Large friction-high force fields limit for the nonlinear Vlasov-Poisson-Fokker-Planck system
- A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy
- A continuum approach to modelling cell-cell adhesion
- Mean field limit for Coulomb-type flows
- Relaxation to fractional porous medium equation from Euler-Riesz system
- Diffusion processes and stochastic calculus
- Relative entropy and hydrodynamics of Ginzburg-Landau models
- Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy
- Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D
- Propagation of chaos for fractional Keller Segel equations in diffusion dominated and fair competition cases
- On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations
- From gas dynamics with large friction to gradient flows describing diffusion theories
- ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- Global solution for a chemotactic–haptotactic model of cancer invasion
- Mathematical Modelling of Tumour Invasion and Metastasis
- Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones
- convergence of the vlasov-poisson system to the incompressible euler equations
- Leader formation with mean-field birth and death models
- Quantitative Propagation of Chaos in a Bimolecular Chemical Reaction-Diffusion Model
- Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
- Mathematical modelling of cancer invasion: The multiple roles of TGF-β pathway on tumour proliferation and cell adhesion
- Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off
- Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
- Probability
This page was built for publication: Propagation of chaos in the nonlocal adhesion models for two cancer cell phenotypes