Modelling the movement of interacting cell populations

From MaRDI portal
Publication:2177436

DOI10.1016/S0022-5193(03)00258-3zbMath1464.92050OpenAlexW1986338995WikidataQ38481705 ScholiaQ38481705MaRDI QIDQ2177436

Jonathan A. Sherratt, Kevin J. Painter

Publication date: 6 May 2020

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5193(03)00258-3




Related Items (max. 100)

Boundedness of solutions in a fully parabolic quasilinear chemotaxis model with two species and two chemicalsA sharp-front moving boundary model for malignant invasionExclusion processes on a growing domainModelling the movement of interacting cell populations: a moment dynamics approachStabilization in a two-species chemotaxis system with two chemicals under small initial conditionsDistinguishing between mechanisms of cell aggregation using pair-correlation functionsTravelling waves for a velocity-jump model of cell migration and proliferationFinite element analysis of attraction-repulsion chemotaxis system. I: Space convergenceBoundedness and large time behavior in a two-dimensional Keller-Segel-Navier-Stokes system with signal-dependent diffusion and sensitivityBoundedness in a two species attraction-repulsion chemotaxis system with two chemicalsExistence of monotone positive solutions of a neighbour based chemotaxis model and aggregation phenomenonFortune favours the brave: movement responses shape demographic dynamics in strongly competing populationsConvergence rate estimates of a two-species chemotaxis system with two indirect signal production and logistic source in three dimensionsContinuum approximations for lattice-free multi-species models of collective cell migrationBoundedness in a two-species chemotaxis system with nonlinear sensitivity and signal secretionAsymptotic dynamics in a two-species chemotaxis model with non-local termsInvading and receding sharp-fronted travelling wavesModelling physical limits of migration by a kinetic model with non-local sensingA nonlocal model for contact attraction and repulsion in heterogeneous cell populationsNonlocal Cross-Interaction Systems on Graphs: Nonquadratic Finslerian Structure and Nonlinear MobilitiesThe carrying capacity to chemotaxis system with two species and competitive kinetics in \(N\) dimensionsQuality of approximating a mass-emitting object by a point source in a diffusion modelBoundedness and large time behavior for flux limitation in a two-species chemotaxis systemThe force of cell-cell adhesion in determining the outcome in a nonlocal advection diffusion model of wound healingTraveling waves in a coarse‐grained model of volume‐filling cell invasion: Simulations and comparisonsLooking inside an invasion wave of cells using continuum models: proliferation is the keyOn the mathematical modeling of inflammatory edema formationMulti-scale modeling of a wound-healing cell migration assayThe impact of adhesion on cellular invasion processes in cancer and developmentCoalescence of interacting cell populationsThe space-jump model of the movement of tumor cells and healthy cellsExact sharp-fronted travelling wave solutions of the Fisher-KPP equationBlow-up, quenching, aggregation and collapse in a chemotaxis model with reproduction termParabolic–elliptic chemotaxis model with space–time-dependent logistic sources on ℝN. I. Persistence and asymptotic spreadingNon-local models for the formation of hepatocyte-stellate cell aggregatesA hybrid discrete-continuum approach to model Turing pattern formationBoundedness vs. blow-up in a two-species chemotaxis system with two chemicalsParabolic-elliptic chemotaxis model with space-time dependent logistic sources on \(\mathbb{R}^N\). II: Existence, uniqueness, and stability of strictly positive entire solutionsRevisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomyFrom a discrete model of chemotaxis with volume-filling to a generalized Patlak–Keller–Segel modelA free boundary mechanobiological model of epithelial tissuesGrowth of adult spinal cord in knifefish: development and parametrization of a distributed modelCompetitive exclusion in a two-species chemotaxis modelDiscrete and continuous approaches to modeling cell movement in the presence of a foreign stimulusEarly and late stage profiles for a chemotaxis model with density-dependent jump probabilityModelling biological invasions: individual to population scales at interfacesBridging the gap between individual-based and continuum models of growing cell populationsKinetic models with non-local sensing determining cell polarization and speed according to independent cuesBoundedness and stabilization in a two-species chemotaxis system with two chemicalsCRITICAL LENGTH FOR THE SPREADING–VANISHING DICHOTOMY IN HIGHER DIMENSIONSModel of drug delivery to populations composed of two cell typesTravelling wave analysis of cellular invasion into surrounding tissuesMathematical models for chemotaxis and their applications in self-organisation phenomenaOn a chemotaxis model with degenerate diffusion: initial shrinking, eventual smoothness and expandingBlow-up vs boundedness in a two-species attraction–repulsion chemotaxis system with two chemicalsDiscrete and Continuum Models for the Evolutionary and Spatial Dynamics of Cancer: A Very Short Introduction Through Two Case StudiesA continuum mathematical model of substrate-mediated tissue growthBoundedness in a two-species chemotaxis parabolic system with two chemicals



Cites Work


This page was built for publication: Modelling the movement of interacting cell populations