Inheritance of oscillation in chemical reaction networks

DOI10.1016/j.amc.2017.12.012zbMath1428.92132arXiv1706.00684OpenAlexW2962993948MaRDI QIDQ2279240

Murad Banaji

Publication date: 12 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00684

zbMATH Keywords

perturbation theoryoscillationchemical reaction networks

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Periodic orbits of vector fields and flows (37C27) Chemical kinetics in thermodynamics and heat transfer (80A30) Generic properties, structural stability of dynamical systems (37C20)

Related Items (13)

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 ⋮ Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks ⋮ Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness ⋮ Building Oscillatory Chemical Reaction Networks by Adding Reversible Reactions ⋮ A proof of unlimited multistability for phosphorylation cycles ⋮ Algebra and Geometry in the Study of Enzymatic Cascades ⋮ Qualitative studies of some biochemical models ⋮ The Inheritance of Nondegenerate Multistationarity in Chemical Reaction Networks ⋮ On the existence of Hopf bifurcations in the sequential and distributive double phosphorylation cycle ⋮ The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation

Uses Software

• nauty
• Traces

Cites Work

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• Detection of Hopf bifurcations in chemical reaction networks using convex coordinates
• Combinatorial approaches to Hopf bifurcations in systems of interacting elements
• Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates
• Bistability and oscillations in chemical reaction networks
• Graph-theoretic methods for the analysis of chemical and biochemical networks. I. Multistability and oscillations in ordinary differential equation models
• Attractors in coherent systems of differential equations
• Geometric singular perturbation theory for ordinary differential equations
• Elements of applied bifurcation theory.
• Mathematical physiology
• On Bendixson's criterion
• Dynamics of differential equations on invariant manifolds
• Global convergence in systems of differential equations arising from chemical reaction networks
• Atoms of multistationarity in chemical reaction networks
• Practical graph isomorphism. II.
• Complete characterization by multistationarity of fully open networks with one non-flow reaction
• Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems
• A Petri net approach to the study of persistence in chemical reaction networks
• Local semi-dynamical systems
• Some Results on Injectivity and Multistationarity in Chemical Reaction Networks
• Local and Global Stability of Equilibria for a Class of Chemical Reaction Networks
• Monotonicity in chemical reaction systems
• The Inheritance of Nondegenerate Multistationarity in Chemical Reaction Networks
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
• A Geometric Approach to Global-Stability Problems
• Which Small Reaction Networks Are Multistationary?

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