MODEL HIERARCHIES FOR CELL AGGREGATION BY CHEMOTAXIS

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A coupled chemotaxis-fluid model: Global existence (2011, background): “Kinetic models for chemotaxis can be found in [7].”
Global Solutions to the Coupled Chemotaxis-Fluid Equations (2010, unknown): “[8, 7].”
The parabolic-parabolic Keller-Segel model in R2 (2008, methodology): “Among mathematical models describing spatial organization of biological population through chemical signals ([27, 10, 15]), we highlight the following Patlak-Keller-Segel (PKS) model for chemotaxis ([21, 26]:)”
A coupled Keller–Segel–Stokes model: global existence for small initial data and blow-up delay (2012, background): “Kinetic models for chemotaxis can be found in [12].”
Embedding of Semigroups of Lipschitz Maps into Positive Linear Semigroups on Ordered Banach Spaces Generated by Measures (2009, background): “Examples include branching random evolution [9], kinetic chemotaxis models concerning the run-and-tumble type of movement of flagellated bacteria like E. coli, B. subtilis or V. cholerae [18, 19, 2] and the extension of these to amoebae like Dictyostelium discoideum [ 3 , 11], and cell cycle models ”
COUPLED CHEMOTAXIS FLUID MODEL (2010, methodology): “Model hierarchies for cell aggregation by chemotaxis are described in [5].”
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior (2010, background): “Kinetic models for chemotaxis can be found in [10].”