Cover Image

Spatial segregation across travelling fronts in individual-based and continuum models for the growth of heterogeneous cell populations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Carrillo, José A., Lorenzi, Tommaso, Macfarlane, Fiona R.
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion
by: Lorenzi, Tommaso, et al.
Published: (2023)

On a phenotype-structured phase-field model of nutrient-limited tumour growth
by: Lorenzi, Tommaso, et al.
Published: (2025)

Growth-fragmentation model for a population presenting heterogeneity in growth rate: Malthus parameter and long-time behavior
by: Rat, Anaïs, et al.
Published: (2025)

Kinetic and mean-field modeling of muscular dystrophies
by: Lorenzi, Tommaso, et al.
Published: (2025)

A nonlinear model for long-range segregation
by: Chuah, Howen, et al.
Published: (2025)

Asymptotic spreading of KPP reactive fronts in heterogeneous shifting environments II: Flux-limited solutions
by: Lam, King-Yeung, et al.
Published: (2024)

The impact of a wind switch on the stability of traveling fronts in a reaction-diffusion model of fire propagation
by: Chandrasekhar, Olivia, et al.
Published: (2024)

An areal continuum model for mixed traffic
by: Maiti, Nandan, et al.
Published: (2024)

Travelling front solutions in a spatially heterogeneous reaction-diffusion system
by: Chirilus-Bruckner, M., et al.
Published: (2025)

Nonlinear partial differential equations in neuroscience: from modelling to mathematical theory
by: Carrillo, José A, et al.
Published: (2025)

Derivation and quasi-invariant asymptotics of phenotype-structured integro-differential models
by: Bernardi, Emanuele, et al.
Published: (2025)

Comparison results for unbounded solutions for a parabolic Cauchy-Dirichlet problem with superlinear gradient growth
by: Leonori, Tommaso, et al.
Published: (2017)

Studying wildfire fronts using advection-diffusion-reaction models
by: Mitra, Koondanibha, et al.
Published: (2024)

Self-sustaining traveling fronts for a model related to bushfires
by: Dipierro, Serena, et al.
Published: (2025)

Classification and stability analysis of polarising and depolarising travelling wave solutions for a model of collective cell migration
by: Rahman, Nizhum, et al.
Published: (2021)

Quasilinear elliptic equations with singular quadratic growth terms
by: Boccardo, Lucio, et al.
Published: (2025)

Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation
by: Pan-Collantes, A. J., et al.
Published: (2024)

Scaling limits for a population model with growth, division and cross-diffusion
by: Doumic, Marie, et al.
Published: (2024)

Modulational stability of the periodic traveling wave in a local model for shallow water waves
by: Fan, Lili, et al.
Published: (2026)

On the continuum limit of the Follow-the-Leader model and its stability
by: Ancona, Fabio, et al.
Published: (2024)

Multistatic anisotropic travel-time as a tensor tomography problem
by: Desai, Naeem, et al.
Published: (2026)

The graph limit for a pairwise competition model
by: Porat, Immanuel Ben, et al.
Published: (2023)

Long-time behavior of the heterogeneous SIRS epidemiological model
by: Ducasse, Romain, et al.
Published: (2024)

Adaptive dynamics of nonlocal competition models with heterogeneous resources
by: Bian, Shen
Published: (2025)

Phenotype structuring in collective cell migration:a tutorial of mathematical models and methods
by: Lorenzi, Tommaso, et al.
Published: (2024)

General asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous media, I
by: Barrionuevo, Jose A., et al.
Published: (2013)

On some singularly perturbed elliptic systems modeling partial segregation: uniform Hölder estimates and basic properties of the limits
by: Soave, Nicola, et al.
Published: (2024)

Spreading speed of locally regulated population models in macroscopically heterogeneous environments
by: Maillard, Pascal, et al.
Published: (2021)

Stability of traveling waves for doubly nonlinear equations
by: Seis, Christian, et al.
Published: (2024)

Existence and stability for the travelling waves of the Benjamin equation
by: Hakkaev, Sevdzhan, et al.
Published: (2024)

Singular traveling waves for the Euler-Poisson system
by: Guelmame, Billel, et al.
Published: (2026)

Existence, uniqueness, stability, and monotonicity of traveling waves for repulsion/attraction chemotaxis models with logistic type source
by: Shen, Wenxian
Published: (2026)

On partially segregated harmonic maps: optimal regularity and structure of the free boundary
by: Soave, Nicola, et al.
Published: (2024)

Convergence of boundary layers of chemotaxis models with physical boundary conditions I: degenerate initial data
by: Carrillo, Jose Antonio, et al.
Published: (2024)

Bistable pulsating fronts in slowly oscillating environments *
by: Ding, Weiwei, et al.
Published: (2022)

Linear instability of a Burgers--Hilbert traveling wave
by: Castro, Ángel, et al.
Published: (2026)

Angular traveling waves of the high-dimensional Boussinesq equation
by: Esfahani, Amin
Published: (2023)

Periodic traveling interfacial hydroelastic waves with or without mass
by: Akers, Benjamin F., et al.
Published: (2017)

On the instability of travelling wave solutions for the transport-Stokes equation
by: Bonnivard, Matthieu, et al.
Published: (2023)

Existence of traveling waves for the two-dimensional Zakharov system
by: Rialland, Guillaume
Published: (2026)