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• W2079672703 abstract "Various classes of Partial Differential Equations have shown to be successful in describing the self-organization of bacterial colonies, a topic also sometimes called socio-biology. For instance parabolic systems are standard; the classical Patlak–Keller–Segel system and Mimura’s system are able to explain two elementary processes underlying qualitative behaviors of populations and complex patterns: oriented drift by chemoattraction and colony growth with local nutrient depletion. More recently nonlinear hyperbolic and kinetic models also have been used to describe the phenomena at a smaller scale. We explain here some motivations for ‘microscopic’ descriptions, the mathematical difficulties arising in their analysis and how kinetic models can help in understanding the unity of these descriptions." @default.
• W2079672703 created "2016-06-24" @default.
• W2079672703 creator A5061988258 @default.
• W2079672703 date "2011-04-01" @default.
• W2079672703 modified "2023-09-23" @default.
• W2079672703 title "Mathematical models of cell self-organization" @default.
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• W2079672703 doi "https://doi.org/10.1016/j.joems.2011.09.005" @default.
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