Oscillations and bistability in a model of ERK regulation

DOI10.1007/s00285-019-01402-yzbMath1425.92097arXiv1903.02617OpenAlexW2962842478WikidataQ92189935 ScholiaQ92189935MaRDI QIDQ2330623

Xiaoxian Tang, Nida Obatake, Anne Shiu, Angelica Torres

Publication date: 22 October 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02617

zbMATH Keywords

Newton polytopeoscillationHopf bifurcationmixed volumechemical reaction networkbistable

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Related Items

The steady-state degree and mixed volume of a chemical reaction network ⋮ Collective oscillations in coupled-cell systems ⋮ Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours ⋮ Dynamics of ERK regulation in the processive limit ⋮ Splitting Reactions Preserves Nondegenerate Behaviors in Chemical Reaction Networks ⋮ Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients ⋮ Newton-Okounkov bodies of chemical reaction systems ⋮ Bistability of sequestration networks ⋮ Unnamed Item ⋮ Mixed volume of small reaction networks ⋮ Sign-sensitivities for reaction networks: an algebraic approach ⋮ On the existence of Hopf bifurcations in the sequential and distributive double phosphorylation cycle ⋮ Multistability of Small Reaction Networks ⋮ Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces ⋮ The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation

Uses Software

• Macaulay2
• MATCONT
• PHCpack

Cites Work

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• MATCONT
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