Monostationarity and Multistationarity in Tree Networks of Goldbeter–Koshland Loops

No abstract is available for this paper.

• Publication year

  2019

• Venue

  Bulletin of Mathematical Biology

• Publication date

  2019-06-19

• Fields of study

  Biology, Medicine, Mathematics

• Identifiers
  DOI 10.1007/s11538-019-00615-yPMID 31218553
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Foundations of Chemical Reaction Network Theory

  2019influential reference
• The Structure of MESSI Biological Systems

  2016cited by this paper
• A course of mathematical analysis

  2016cited by this paper
• Intermediates, catalysts, persistence, and boundary steady states

  2015cited by this paper
• Invariants reveal multiple forms of robustness in bifunctional enzyme systems.

  2015cited by this paper
• A survey of methods for deciding whether a reaction network is multistationary

  2014cited by this paper
• A Fundamental Trade-off in Covalent Switching and Its Circumvention by Enzyme Bifunctionality in Glucose Homeostasis*

  2014cited by this paper
• Time‐scale separation – Michaelis and Menten's old idea, still bearing fruit

  2014cited by this paper
• Simplifying biochemical models with intermediate species

  2013cited by this paper
• A computational method to preclude multistationarity in networks of interacting species

  2013cited by this paper
• Laplacian Dynamics on General Graphs

  2013cited by this paper
• Realistic enzymology for post-translational modification: zero-order ultrasensitivity revisited.

  2012cited by this paper
• Signaling cascades: consequences of varying substrate and phosphatase levels.

  2012cited by this paper
• systems Enzyme-sharing as a cause of multi-stationarity in signalling

  2012cited by this paper
• A Linear Framework for Time-Scale Separation in Nonlinear Biochemical Systems

  2012cited by this paper
• Chemical Reaction Systems with Toric Steady States

  2011cited by this paper
• Simulation of cellular biochemical system kinetics

  2011cited by this paper
• Variable elimination in post-translational modification reaction networks with mass-action kinetics

  2011cited by this paper
• Concordant chemical reaction networks.

  2011cited by this paper
• The original Michaelis constant: translation of the 1913 Michaelis-Menten paper.

  2011cited by this paper
• Enzyme-sharing as a cause of multi-stationarity in signalling systems

  2011cited by this paper
• Structural Sources of Robustness in Biochemical Reaction Networks

  2010cited by this paper
• An Algebraic Approach to Signaling Cascades with n Layers

  2010cited by this paper
• The rational parameterization theorem for multisite post-translational modification systems.

  2009cited by this paper
• A Hidden Feedback in Signaling Cascades Is Revealed

  2008cited by this paper
• Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems

  2008cited by this paper
• Stability of Complex Reaction Networks

  2007cited by this paper
• Monotone Chemical Reaction Networks

  2007cited by this paper
• Subnetwork analysis reveals dynamic features of complex (bio)chemical networks

  2007cited by this paper
• Toric dynamical systems

  2007cited by this paper
• Operating Regimes of Signaling Cycles: Statics, Dynamics, and Noise Filtering

  2007cited by this paper
• Effects of sequestration on signal transduction cascades

  2006cited by this paper
• Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property

  2005cited by this paper
• Graphic Requirements for Multistationarity

  2004cited by this paper
• Kinetic analysis of macromolecules : a practical approach

  2003cited by this paper
• Untangling the wires: A strategy to trace functional interactions in signaling and gene networks

  2002cited by this paper
• Mathematical models of protein kinase signal transduction.

  2002cited by this paper
• Product dependence and bifunctionality compromise the ultrasensitivity of signal transduction cascades

  2002cited by this paper
• Mitogen-activated protein (MAP) kinase pathways: regulation and physiological functions.

  2001cited by this paper
• A Computer Program for the Deficiency Zero and Deficiency One Theorems

  1991influential reference
• Chemical reaction network structure and the stability of complex isothermal reactors—I. The deficiency zero and deficiency one theorems

  1987cited by this paper
• An amplified sensitivity arising from covalent modification in biological systems.

  1981cited by this paper
• Enzyme structure and mechanism

  1977cited by this paper
• General mass action kinetics

  1972cited by this paper
• Textbook errors: VII. The laws of reaction rates and of equilibrium

  1956cited by this paper
• Differential and Integral Calculus.

  1935cited by this paper
• Signaling Cascades: Consequences of Varying Substrate and Phosphatase Levels

  year unknowncited by this paper

• The linear framework: using graph theory to reveal the algebra and thermodynamics of biomolecular systems

  2022cites this paper
• Thermodynamic bounds on ultrasensitivity in covalent switching.

  2022cites this paper
• Regions of multistationarity in cascades of Goldbeter–Koshland loops

  2018cites this paper