title: Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates.
abstract: In this paper, we use singular perturbation methods to study the structure of travelling waves for some reaction-diffusion 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 different biochemical constants that appear in the model.
authors.affiliation: Institute of Mathematics O. Mayer, Romanian Academy, Iaşi, Romania. gabrielal@academic.is.edu.ro
authors.forename: Gabriela
authors.initials: G
authors.lastname: Liţcanu
authors.forename: Juan J L
authors.initials: JJ
authors.lastname: Velázquez
mesh_terms: D000255:Adenosine Triphosphate / Q000378:metabolism; D000262:Adenylyl Cyclases / Q000378:metabolism; D000818:Animals; D002449:Cell Aggregation / Q000502:physiology; D000242:Cyclic AMP / Q000378:metabolism*; D004023:Dictyostelium / Q000166:cytology / Q000378:metabolism / Q000502:physiology*; D007700:Kinetics; D008954:Models, Biological; D010727:Phosphoric Diester Hydrolases / Q000378:metabolism; D011953:Receptors, Cyclic AMP / Q000378:metabolism; D015398:Signal Transduction / Q000502:physiology*
chemical_list: D011953:Receptors, Cyclic AMP; D000255:Adenosine Triphosphate; D000242:Cyclic AMP; D010727:Phosphoric Diester Hydrolases; D000262:Adenylyl Cyclases