Herrero, Miguel A.Spigler, Renato2023-06-202023-06-202000978-94-010-5823-0https://hdl.handle.net/20.500.14352/60761Selected papers from the International Venice–2/Symposium held in Venice, June 11–16, 1998This 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.engbook parthttps://www.springerprofessional.de/en/applied-and-industrial-mathematics-venice-2-1998/14848734open access517.956.451-76BiomatemáticasEcuaciones diferenciales2404 Biomatemáticas1202.07 Ecuaciones en Diferencias