Global existence vs. blowup in a fully parabolic quasilinear 1D Keller–Segel 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

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Natural Sciences, Mathematics, Dynamical Systems +9

Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity

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Natural Sciences, Mechanical Engineering, Physics +12

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

Nonlinear aspects of chemotaxis

Stephen Childress, J. K. Percus · Mathematical Biosciences · 1981 · 372 citations

Natural Sciences, Biophysics, Biological Transport Phenomena +11