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Attributs	Valeurs
type	work Article
Is Part Of	Mathematical modeling in the medical sciences
Subject	pattern formation cell interactions chemotaxis Nonlinear parabolic equations Reaction-diffusion equations Nonlinear initial-boundary value problems for nonlinear parabolic equations None of the above, but in MSC2010 section 92Bxx Developmental biology, pattern formation Cell movement (chemotaxis, etc.) Keller-Segel model nonlinear diffusion blow up chemotactic sensitivity volume filling
Title	On Chemotaxis Models with Cell Population Interactions
Date	2010-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_3/mmnp201053p173/m/web http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_3/mmnp201053p173/m/print
related by	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_3/mmnp201053p173/authorship/1
Author	Wang, Z. A.
Abstract	This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell population interactions. The extended chemotaxis models have nonlinear diffusion and chemotactic sensitivity depending on cell population density, which is a modification of the classical Keller-Segel model in which the diffusion and chemotactic sensitivity are constants (linear). The existence and boundedness of global solutions of these models are discussed and the numerical pattern formations are shown. The further improvement is proposed in the end.
article type	research-article
publisher identifier	mmnp201053p173
Date Copyrighted	2010-01-01(xsd:dateTime)
Rights	© EDP Sciences, 2010
Rights Holder	EDP Sciences
is part of this journal	Mathematical Modelling of Natural Phenomena
is primary topic of	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_3/mmnp201053p173/w/record

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