# Chemotaxis models with a threshold cell density

Banach Center Publications (2008)

- Volume: 81, Issue: 1, page 553-566
- ISSN: 0137-6934

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topDariusz 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 -

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