Sustained oscillations in the MAP kinase cascade

DOI10.1016/j.mbs.2016.10.011zbMath1352.92072arXiv1509.02667OpenAlexW2963106084WikidataQ50532352 ScholiaQ50532352MaRDI QIDQ343085

Juliette Hell, Alan D. Rendall

Publication date: 21 November 2016

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02667

zbMATH Keywords

dynamical systemsHopf bifurcationgeometric singular perturbation theorychemical reaction networkMAP kinase cascade

Mathematics Subject Classification ID

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

Related Items (7)

The kinetic space of multistationarity in dual phosphorylation ⋮ Dynamics of ERK regulation in the processive limit ⋮ Splitting Reactions Preserves Nondegenerate Behaviors in Chemical Reaction Networks ⋮ A proof of unlimited multistability for phosphorylation cycles ⋮ Algebra and Geometry in the Study of Enzymatic Cascades ⋮ On the Liouville integrability of Edelstein's reaction system in \(\mathbb R^3\) ⋮ The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation

Cites Work

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• A proof of bistability for the dual futile cycle
• On the number of steady states in a multiple futile cycle
• Geometric singular perturbation theory for ordinary differential equations
• Bifurcations and chaos in the MAPK signaling cascade
• A global convergence result for processive multisite phosphorylation systems
• Oscillations in multi-stable monotone systems with slowly varying feedback
• Oscillations in Monotone Systems with a Negative Feedback

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