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• W2075718843 abstract "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 numerical simulations, the complex dynamics of merging and emerging patterns are shown for zero cell kinetics and nonzero cell kinetics, respectively. We conclude that the emerging process of pattern formation is due to cell growth." @default.
• W2075718843 created "2016-06-24" @default.
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• W2075718843 date "2007-09-01" @default.
• W2075718843 modified "2023-09-24" @default.
• W2075718843 title "Classical solutions and pattern formation for a volume filling chemotaxis model" @default.
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• W2075718843 doi "https://doi.org/10.1063/1.2766864" @default.
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