Boundedness vs. blow-up in a chemotaxis system

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

From 1970 until present: the Keller-Segel model in chemotaxis and its consequences

Dirk Horstmann · 2003 · 907 citations

Natural Sciences, Biophysics, Biological Systems Modeling +7

On explosions of solutions to a system of partial differential equations modelling chemotaxis

Willi Jäger, Stephan Luckhaus · Transactions of the American Mathematical Society · 1992 · 856 citations · Full text

Natural Sciences, Mathematics, Biological Systems Modeling +15

L^PBounds of solutions of reaction-diffusion equations

Nicholas D. Alikakos · Communications in Partial Differential Equations · 1979 · 574 citations

Natural Sciences, Mathematics, Chemical Kinetics +9

Semi-linear second-order elliptic equations in L1

Haïm Brézis, Walter A. Strauss · Journal of the Mathematical Society of Japan · 1973 · 564 citations · Full text

Natural Sciences, Property Law, Adverse Possession +10