Local Negative Circuits and Cyclic Attractors in Boolean Networks with at most Five Components

DOI10.1137/18M1173988zbMath1454.94148arXiv1803.02095MaRDI QIDQ4631519

Claudine Chaouiya, Elisa Tonello, Etienne Farcot

Publication date: 29 March 2019

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02095

zbMATH Keywords

Boolean networkcyclic attractorsasynchronous dynamicslocal negative circuitsregulatory graph

Mathematics Subject Classification ID

Circuits, networks (94C99) Boolean functions (06E30) General biology and biomathematics (92B05)

Related Items (1)

Isometries of the hypercube: a tool for Boolean regulatory networks analysis

Uses Software

• Plingeling
• DRAT-trim
• Treengeling
• GRAT
• multi2boolean
• Splatz
• Lingeling
• YalSAT

Cites Work

• Unnamed Item
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• An extension of a combinatorial fixed point theorem of Shih and Dong
• Negative circuits and sustained oscillations in asynchronous automata networks
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• On the conversion of multivalued to Boolean dynamics
• A combinatorial analogue of the Jacobian problem in automata networks
• From kernels in directed graphs to fixed points and negative cycles in Boolean networks
• Stable states of Boolean regulatory networks composed over hexagonal grids
• Local negative circuits and fixed points in non-expansive Boolean networks
• Necessary conditions for multistationarity in discrete dynamical systems
• DRAT-trim: Efficient Checking and Trimming Using Expressive Clausal Proofs
• Local cycles and dynamical properties of Boolean networks
• On The Number of Symmetry Types of Boolean Functions of n Variables

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