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The MAP kinase cascade is a network of enzymatic reactions arranged inlayers. In each layer occurs a multiple futile cycle of phosphorylations. Thefully phosphorylated substrate then serves as an enzyme for the layer below.This papers focusses on the existence of parameters for which Hopf bifurcationsoccur and generate periodic orbits. Furthermore it is explained how geometricsingular perturbation theory allows to generalize results from simple models tomore complex ones.

Sustained oscillations in the MAP kinase cascade