On circuit functionality in Boolean networks

DOI10.1007/s11538-013-9829-2zbMath1272.92016OpenAlexW2102141778WikidataQ44626724 ScholiaQ44626724MaRDI QIDQ371977

Aurélien Naldi, El Houssine Snoussi, Laurence Calzone, Jean-Paul Comet, Adrien Richard, Julio Aracena, Jacques Demongeot, Mathilde Noual, Marcelle Kaufman, Denis Thieffrey

Publication date: 11 October 2013

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

Full work available at URL: http://hdl.handle.net/10533/128393

zbMATH Keywords

fixed pointBoolean networkinteraction graphmultistabilityfeedback circuitcyclic attractor

Mathematics Subject Classification ID

Applications of graph theory (05C90) General biology and biomathematics (92B05) Systems biology, networks (92C42)

Related Items (6)

Dynamics of transcription-translation networks ⋮ A circuit-preserving mapping from multilevel to Boolean dynamics ⋮ On the influence of the interaction graph on a finite dynamical system ⋮ Hyperchaos \& labyrinth chaos: revisiting Thomas-Rössler systems ⋮ On logical bifurcation diagrams ⋮ A general model of binary opinions updating

Cites Work

• Unnamed Item
• Unnamed Item
• Combinatorics of Boolean automata circuits dynamics
• Analysis of discrete bioregulatory networks using symbolic steady states
• Deriving behavior of Boolean bioregulatory networks from subnetwork dynamics
• Logical identification of all steady states: The concept of feedback loop characteristic states
• Maximum number of fixed points in regulatory Boolean networks
• Graphic requirements for multistability and attractive cycles in a Boolean dynamical framework
• Negative circuits and sustained oscillations in asynchronous automata networks
• Dynamical behaviour of biological regulatory networks. I: Biological role of feedback loops and practical use of the concept of the loop- characteristic state
• A combinatorial analogue of the Jacobian problem in automata networks
• Fixed points and maximal independent sets in AND-OR networks
• Local negative circuits and fixed points in non-expansive Boolean networks
• Necessary conditions for multistationarity in discrete dynamical systems
• Necessary Conditions for Multistationarity and Stable Periodicity
• Positive and Negative Circuits in Dynamical Systems
• Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits

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