A new result for global existence and boundedness of solutions to a parabolic–parabolic Keller–Segel system with logistic source

Initiation of slime mold aggregation viewed as an instability

Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1970 · 3.6K citations

Mold Control, Pattern Formation, Engineering +7

Model for chemotaxis

Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1971 · 1.8K citations

Biology, Chemotaxonomy, Biological Model +2

Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model

Michael Winkler · Journal of Differential Equations · 2010 · 1.3K citations

Global Diffusive Behavior, Theoretical Modeling, Mathematical Statistical Physic +1

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 · 1K citations

Tissue Engineering, Biophysical Modeling, Engineering +17

Boundedness vs. blow-up in a chemotaxis system

Dirk Horstmann, Michael Winkler · Journal of Differential Equations · 2004 · 982 citations

Dynamic Equilibrium, Stability, Active Matter +2