The dynamics of conjunctive and disjunctive Boolean network models
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Publication:711492
DOI10.1007/s11538-010-9501-zzbMath1198.92018arXiv0805.0275OpenAlexW2964149642WikidataQ44953603 ScholiaQ44953603MaRDI QIDQ711492
Abdul Salam Jarrah, Alan Veliz-Cuba, Reinhard C. Laubenbacher
Publication date: 26 October 2010
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.0275
Applications of graph theory (05C90) Feedback control (93B52) Dynamical systems in biology (37N25) Systems biology, networks (92C42)
Related Items (30)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximum number of fixed points in regulatory Boolean networks
- The number of fixed points of the majority rule
- Periodic behaviour of generalized threshold functions
- Boolean monomial dynamical systems
- Fixed points and maximal independent sets in AND-OR networks
- Discrete dynamical systems on graphs and Boolean functions
- Positive and Negative Circuits in Dynamical Systems
- On the Sequence of Consecutive Powers of a Matrix in a Boolean Algebra
- Periodic solutions in systems of piecewise- linear differential equations
- Linear analysis of switching nets
- Linear Finite Dynamical Systems
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