Cover Image

Modelling non-local cell-cell adhesion: a multiscale approach

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhigun, Anna, Rajendran, Mabel Lizzy
Format:	Preprint
Published:	2023
Subjects:	Tissues and Organs Analysis of PDEs 35B27, 35Q49, 35Q92, 45K05, 92C17
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Local well-posedness for a novel nonlocal model for cell-cell adhesion via receptor binding
by: Rajendran, Mabel Lizzy, et al.
Published: (2024)

Global existence of solutions to a nonlocal equation with degenerate anisotropic diffusion
by: Eckardt, Maria, et al.
Published: (2024)

Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal
by: Zhigun, Anna
Published: (2024)

Iterative algorithms for the reconstruction of early states of prostate cancer growth
by: Beretta, Elena, et al.
Published: (2024)

Existence of Weak Solutions to a Constrained Aggregation-Diffusion-Reaction Model for Multiple Sclerosis
by: Fagioli, S., et al.
Published: (2026)

A dimension-independent critical exponent in a nutrient taxis system
by: Winkler, Michael
Published: (2026)

Two-species system with nonlocal interactions driven by Riesz potentials
by: Fagioli, Simone, et al.
Published: (2026)

On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis
by: Fagioli, S., et al.
Published: (2023)

On a PDE-ODE-PDE model for two interacting cell populations under the influence of an acidic environment and with nonlocal intra- and interspecific growth limitation
by: Eckardt, Maria, et al.
Published: (2024)

Global well-posedness for the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions
by: Takeuchi, Taiki, et al.
Published: (2025)

Maximal regularity and optimal control for a non-local Cahn-Hilliard tumour growth model
by: Fornoni, Matteo
Published: (2024)

The Incommensurability Principle in Biological Transport
by: Marchesi, Riccardo
Published: (2026)

Chemotaxis models with signal-dependent sensitivity and a logistic-type source, I: Boundedness and global existence
by: Chen, Le, et al.
Published: (2025)

Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
by: Chen, Le, et al.
Published: (2026)

Chemotaxis Models with Nonlinear/Porous Medium Diffusion, Consumption, and Logistic source on $\mathbb{R}^N$: I. Global Solvability and Boundedness
by: Hassan, Zulaihat, et al.
Published: (2025)

Uniform $L^p$ estimates for solutions to the inhomogeneous 2D Navier-Stokes equations and application to a chemotaxis-fluid system with local sensing
by: Fuest, Mario, et al.
Published: (2024)

Kinetic chemotaxis tumbling kernel determined from macroscopic quantities
by: Hellmuth, Kathrin, et al.
Published: (2022)

Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity
by: Ferreira, Lucas C. F., et al.
Published: (2023)

On a modified Cahn-Hilliard-Brinkman model with chemotaxis and nonlinear sensitivity
by: Schimperna, Giulio
Published: (2024)

The Dynamic Origin of Kleiber's Law
by: Marchesi, Riccardo
Published: (2026)

Refining Hölder regularity theory in degenerate drift-diffusion equations
by: Black, Tobias
Published: (2024)

Cahn-Hilliard equations with singular potential, reaction term and pure phase initial datum
by: Grasselli, Maurizio, et al.
Published: (2024)

Chemotaxis and Reactions in Anomalous Diffusion Dynamics
by: De Andrade, Crystianne L., et al.
Published: (2024)

Generalized Doubly Parabolic Keller-Segel System with Fractional Diffusion
by: Bronzi, Anne Caroline, et al.
Published: (2025)

Upper estimates for the Hausdorff dimension of the temporal singular set in chemotaxis-fluid systems
by: Fuest, Mario
Published: (2024)

The spreading of global solutions of chemotaxis systems with logistic source and consumption on $\mathbb{R}^{N}$
by: Hassan, Zulaihat, et al.
Published: (2024)

Nonlocal logistics and nonlinear productions in an attraction-repulsion chemotaxis model: analysis of the global well-posedness
by: Fuentes, Rafael Díaz, et al.
Published: (2026)

Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier--Stokes system
by: Black, Tobias
Published: (2024)

Transition layers to chemotaxis-consumption models with volume-filling effect
by: Li, Xiaowen, et al.
Published: (2024)

A Two-Phase Model of Early Atherosclerotic Plaque Development with LDL Toxicity Effects
by: Pramanik, Abdush Salam, et al.
Published: (2023)

Strong solutions to the Keller-Segel-Navier-Stokes system in bounded Lipschitz domains
by: Hieber, Matthias, et al.
Published: (2025)

Stability and uniqueness of bounded weak solutions to triangular degenerate cross-diffusion systems
by: Chen, Xiuqing, et al.
Published: (2025)

Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
by: Geltner, Noah, et al.
Published: (2026)

An optimal control approach to nonlinear wave speed selection in reaction-diffusion equations
by: Crossley, Rebecca M., et al.
Published: (2026)

A new mathematical model for cell motility with nonlocal repulsion from saturated areas
by: Ferrari, Carlo Giambiagi, et al.
Published: (2024)

Stability of constant equilibria in a Keller--Segel system with gradient dependent chemotactic sensitivity and sublinear signal production
by: Kohatsu, Shohei
Published: (2025)

Well-posedness of Keller-Segel systems on compact metric graphs
by: Shemtaga, Hewan, et al.
Published: (2024)

Nonlinear Fisher information, corresponding functional inequalities and applications
by: Cieślak, Tomasz, et al.
Published: (2025)

Global boundedness of weak solutions to a flux-limited Keller--Segel system with superlinear production
by: Kohatsu, Shohei
Published: (2025)

A phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
by: Cavalleri, Giulia
Published: (2024)