\(n\)-site phosphorylation systems with \(2n-1\) steady states

DOI10.1007/s11538-014-9984-0zbMath1300.92028arXiv1312.4774OpenAlexW1998160025WikidataQ51066548 ScholiaQ51066548MaRDI QIDQ467732

Dietrich Flockerzi, Carsten Conradi, Katharina Holstein

Publication date: 5 November 2014

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

Full work available at URL: https://arxiv.org/abs/1312.4774

zbMATH Keywords

determining equationmass-action kineticsmultistationaritysequential-distributed phosphorylation

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Cell biology (92C37)

Related Items (13)

The steady-state degree and mixed volume of a chemical reaction network ⋮ The kinetic space of multistationarity in dual phosphorylation ⋮ Implicit dose-response curves ⋮ A proof of bistability for the dual futile cycle ⋮ Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks ⋮ Families of toric chemical reaction networks ⋮ A proof of unlimited multistability for phosphorylation cycles ⋮ Multistationarity in the space of total concentrations for systems that admit a monomial parametrization ⋮ Autophosphorylation and the dynamics of the activation of Lck ⋮ Parameter regions that give rise to \(2\lfloor \frac{n}{2} \rfloor +1\) positive steady states in the \(n\)-site phosphorylation system ⋮ On the existence of Hopf bifurcations in the sequential and distributive double phosphorylation cycle ⋮ Introduction to the Geometric Theory of ODEs with Applications to Chemical Processes ⋮ A global convergence result for processive multisite phosphorylation systems

Cites Work

• Complex-linear invariants of biochemical networks
• Chemical reaction systems with toric steady states
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• Ultrasensitivity in independent multisite systems
• On the number of steady states in a multiple futile cycle
• The rational parameterisation theorem for multisite post-translational modification systems
• Multistationarity in sequential distributed multisite phosphorylation networks
• Multistationarity in the activation of a MAPK: parametrizing the relevant region in parameter space
• Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits
• Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior

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