Concepedia
Nonlinear Analysis Real World Applications · 2016 · 73 citations · 29 references
Natural SciencesBiological EngineeringDynamical SystemsTransport PhenomenaDissipative SystemsNonlinear DynamicsRegular SolutionsStability TheoryWeak FormulationBoundedness AnalysisCellular ChemotaxisChemotaxisStrong SolutionsTotal BoundednessWeak Solutions
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Initiation of slime mold aggregation viewed as an instability
Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1970 · 3.7K citations
Engineering, Materials Engineering, Materials Science +10
Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
Michael Winkler · Journal of Differential Equations · 2010 · 1.3K citations
Natural Sciences, Mathematics, Physics +10
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
Nicola Bellomo, Abdelghani Bellouquid, Yixin Tao et al. · Mathematical Models and Methods in Applied Sciences · 2015 · 1.1K citations
Life Sciences, Biology, Chemical Kinetics +12
Boundedness vs. blow-up in a chemotaxis system
Dirk Horstmann, Michael Winkler · Journal of Differential Equations · 2004 · 1K citations
Natural Sciences, Mathematics, Dynamical Systems +9
Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity
Youshan Tao, Michael Winkler · Journal of Differential Equations · 2011 · 875 citations
Natural Sciences, Mechanical Engineering, Physics +12