THE SCALAR KELLER–SEGEL MODEL ON NETWORKS

Efficient, accurate and flexible finite element solvers for chemotaxis problems

(2012) Robert Strehl et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach

(2012) A. Chertock et al.   JOURNAL OF FLUID MECHANICS

Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model

(2012) Yekaterina Epshteyn   JOURNAL OF SCIENTIFIC COMPUTING

On a chemotaxis model with saturated chemotactic flux

(2012) Alina Chertock et al.   Kinetic and Related Models

ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES

(2011) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

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

The one-dimensional Keller–Segel model with fractional diffusion of cells

(2010) Nikolaos Bournaveas et al.   NONLINEARITY

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

Diffusion front capturing schemes for a class of Fokker–Planck equations: Application to the relativistic heat equation

(2009) Antonio Marquina   JOURNAL OF COMPUTATIONAL PHYSICS

Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations

(2008) P. H. Chavanis   EUROPEAN PHYSICAL JOURNAL B

Discontinuous Galerkin methods for the chemotaxis and haptotaxis models

(2008) Yekaterina Epshteyn   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A user’s guide to PDE models for chemotaxis

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

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

(2008) Alina Chertock et al.   NUMERISCHE MATHEMATIK