
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.
Cell biology, Biochemistry, molecular biology, Phosphoric Diester Hydrolases, 1202.07 Ecuaciones en Diferencias, 517.9, Models, Biological, Receptors, Cyclic AMP, Kinetics, Reaction-diffusion systems, Adenosine Triphosphate, Reaction-diffusion equations, Cyclic AMP, Animals, Ecuaciones diferenciales, Dictyostelium, Travelling waves, Singular perturbation methods, Singular perturbations of ordinary differential equations, Adenylyl Cyclases, Cell Aggregation, Signal Transduction
Cell biology, Biochemistry, molecular biology, Phosphoric Diester Hydrolases, 1202.07 Ecuaciones en Diferencias, 517.9, Models, Biological, Receptors, Cyclic AMP, Kinetics, Reaction-diffusion systems, Adenosine Triphosphate, Reaction-diffusion equations, Cyclic AMP, Animals, Ecuaciones diferenciales, Dictyostelium, Travelling waves, Singular perturbation methods, Singular perturbations of ordinary differential equations, Adenylyl Cyclases, Cell Aggregation, Signal Transduction
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