Regions of multistationarity in cascades of Goldbeter–Koshland loops

@article{Giaroli2019RegionsOM,
  title={Regions of multistationarity in cascades of Goldbeter–Koshland loops},
  author={M. Giaroli and F. Bihan and A. Dickenstein},
  journal={Journal of Mathematical Biology},
  year={2019},
  volume={78},
  pages={1115-1145}
}
We consider cascades of enzymatic Goldbeter–Koshland loops (Goldbeter and Koshland in Proc Natl Acad Sci 78(11):6840–6844, 1981) with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of variables and the number of conservation laws grow linearly with n, we find explicit regions in reaction rate constant and total conservation constant space for which the associated mass-action kinetics dynamical system is multistationary. Our… Expand
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