COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS

Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

(2012) Michael Winkler   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant

(2011) Youshan Tao et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity

(2011) Youshan Tao et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Boundedness in a chemotaxis model with oxygen consumption by bacteria

(2011) Youshan Tao   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Travelling plateaus for a hyperbolic Keller–Segel system with attraction and repulsion: existence and branching instabilities

(2011) Benoît Perthame et al.   NONLINEARITY

A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source

(2011) Youshan Tao et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Classical solutions and steady states of an attraction–repulsion chemotaxis in one dimension

(2011) Jia Liu et al.   Journal of Biological Dynamics

Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model

(2010) Michael Winkler   JOURNAL OF DIFFERENTIAL EQUATIONS

Generalizing the Keller–Segel Model: Lyapunov Functionals, Steady State Analysis, and Blow-Up Results for Multi-species Chemotaxis Models in the Presence of Attraction and Repulsion Between Competitive Interacting Species

(2010) Dirk Horstmann   JOURNAL OF NONLINEAR SCIENCE

MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS

(2010) NICOLA BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Mathematical Description of Bacterial Traveling Pulses

(2010) Jonathan Saragosti et al.   PLoS Computational Biology

Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system

(2009) Tomasz Cieślak et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source

(2009) Youshan Tao et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

On the global existence of solutions to an aggregation model

(2008) Remigiusz Kowalczyk et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Finite-time blow-up in a quasilinear system of chemotaxis

(2008) Tomasz Cieślak et al.   NONLINEARITY