Chemotaxis models with a threshold cell density

Dariusz Wrzosek. "Chemotaxis models with a threshold cell density." Banach Center Publications 81.1 (2008): 553-566. <http://eudml.org/doc/282014>.

@article{DariuszWrzosek2008,
abstract = {We consider a quasilinear parabolic system which has the structure of Patlak-Keller-Segel model of chemotaxis and contains a class of models with degenerate diffusion. A cell population is described in terms of volume fraction or density. In the latter case, it is assumed that there is a threshold value which the density of cells cannot exceed. Existence and uniqueness of solutions to the corresponding initial-boundary value problem and existence of space inhomogeneous stationary solutions are discussed. In the 1D case a classification of stationary solutions for some model example is provided.},
author = {Dariusz Wrzosek},
journal = {Banach Center Publications},
keywords = {degenerate diffusion; volume-filling effect; quasilinear parabolic system; non-constant steady state},
language = {eng},
number = {1},
pages = {553-566},
title = {Chemotaxis models with a threshold cell density},
url = {http://eudml.org/doc/282014},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Dariusz Wrzosek
TI - Chemotaxis models with a threshold cell density
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 553
EP - 566
AB - We consider a quasilinear parabolic system which has the structure of Patlak-Keller-Segel model of chemotaxis and contains a class of models with degenerate diffusion. A cell population is described in terms of volume fraction or density. In the latter case, it is assumed that there is a threshold value which the density of cells cannot exceed. Existence and uniqueness of solutions to the corresponding initial-boundary value problem and existence of space inhomogeneous stationary solutions are discussed. In the 1D case a classification of stationary solutions for some model example is provided.
LA - eng
KW - degenerate diffusion; volume-filling effect; quasilinear parabolic system; non-constant steady state
UR - http://eudml.org/doc/282014
ER -