ArticleJournal of mathematical biology2019
Regions of multistationarity in cascades of Goldbeter-Koshland loops.
Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Counting Real Roots in Polynomial-Time via Diophantine Approximation.Foundations of computational mathematics (New York, N.Y.) · 2022Article
- Robustness and parameter geography in post-translational modification systems.PLoS computational biology · 2020Article
- Oscillations and bistability in a model of ERK regulation.Journal of mathematical biology · 2019Article
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3 authors.
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Abstract
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 computations are based on the theoretical results of our companion paper (Bihan, Dickenstein and Giaroli 2018, preprint: arXiv:1807.05157 ) which are inspired by results in real algebraic geometry by Bihan et al. (SIAM J Appl Algebra Geom, 2018).
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