López Velázquez, Juan JoséLiţcanu, Gabriela2023-06-202023-06-2020060303-681210.1007/s00285-005-0370-2https://hdl.handle.net/20.500.14352/49674In this paper, we use singular perturbation methods to study the structure of travelling waves for some reaction-di®usion models obtained from the Martiel-Goldbeter and Goldbeter-Segel's models of cAMP signalling in Dictyostelium discoideum. As a consequence, we derive analytic formulae for quantities like wave speed, maximum concentration and other magnitudes in terms of the di®erent biochemical constants that appear in the model.engjournal articlehttp://www.springerlink.com/content/100436/open access517.9Singular perturbation methodsTravelling wavesReaction-diffusion systemsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias