%0 Book Section
%T Asymptotic properties of reaction-diffusion systems modeling chemotaxis
publisher Springer
%D 2000
%@ https://hdl.handle.net/20.500.14352/60761
%X This paper examines a system first introduced by Keller and Segel in 1970 to model the tendency of slime molds to move towards higher concentrations of a chemical which they themselves secrete. The paper particularly addresses the question of blow-up or chemotactic collapse, i.e., the formation of single point aggregations of the cells. Results are discussed for 2 and 3 space dimensions. Asymptotic computations yield information on the manner of the blow-up.
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