Sustained oscillations in the MAP kinase cascade
Molecular Networks
2015-09-10 v1 Classical Analysis and ODEs
Dynamical Systems
Abstract
The MAP kinase cascade is a network of enzymatic reactions arranged in layers. In each layer occurs a multiple futile cycle of phosphorylations. The fully phosphorylated substrate then serves as an enzyme for the layer below. This papers focusses on the existence of parameters for which Hopf bifurcations occur and generate periodic orbits. Furthermore it is explained how geometric singular perturbation theory allows to generalize results from simple models to more complex ones.
Keywords
Cite
@article{arxiv.1509.02667,
title = {Sustained oscillations in the MAP kinase cascade},
author = {Juliette Hell and Alan D. Rendall},
journal= {arXiv preprint arXiv:1509.02667},
year = {2015}
}