Volume Filling Effect in Modelling Chemotaxis
نویسندگان
چکیده
منابع مشابه
Volume Filling Effect in Modelling Chemotaxis
The oriented movement of biological cells or organisms in response to a chemical gradient is called chemotaxis. The most interesting situation related to self-organization phenomenon takes place when the cells detect and response to a chemical which is secreted by themselves. Since pioneering works of Patlak (1953) and Keller and Segel (1970) many particularized models have been proposed to des...
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Chemotaxis refers to the directed movement of cells in response to a chemical signal called chemoattractant. A crucial point in the mathematical modeling of chemotactic processes is the correct description of the chemotactic sensitivity and of the production rate of the chemoattractant. In this paper, we investigate the identification of these nonlinear parameter functions in a chemotaxis model...
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The Lyapunov functional is constructed for a quasilinear parabolic system which models chemotaxis and takes into account a volume filling effect. For some typical case it is proved that ω−limit set of any trajectory consists of regular stationary solutions. Some lower and upper bounds on the stationary solutions are found. For some range of parameters there are stationary solutions which are in...
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This paper is devoted to studying a reaction-diffusion-chemotaxis model with a volume-filling effect in a bounded domain with Neumann boundary conditions. We first establish the global existence of classical solutions bounded uniformly in time. Then applying the asymptotic analysis and bifurcation theory, we obtain both the local and global structure of steady states bifurcating from the homoge...
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We establish the global existence of classical solutions to a generalized chemotaxis model, which includes the volume filling effect expressed through a nonlinear squeezing probability. This novel choice of squeezing probability reflects the elastic properties of cells. Necessary and sufficient conditions for spatial pattern formation are given and the underlying bifurcations are analyzed. In n...
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ژورنال
عنوان ژورنال: Mathematical Modelling of Natural Phenomena
سال: 2010
ISSN: 0973-5348,1760-6101
DOI: 10.1051/mmnp/20105106