Causal structure of oscillations in gene regulatory networks: Boolean analysis of ordinary differential equation attractors

DOI10.1063/1.4807733zbMath1331.92054OpenAlexW1965278175WikidataQ36947292 ScholiaQ36947292MaRDI QIDQ2787860

Xianrui Cheng, Joshua E. S. Socolar, Mengyang Sun

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4807733

zbMATH Keywords

attractorsoscillationsnegative feedback loopHill functiontime-delay Boolean modeling

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Genetics and epigenetics (92D10) Attractors of solutions to ordinary differential equations (34D45) Systems biology, networks (92C42)

Related Items (6)

Controllability of asynchronous Boolean multiplex control networks ⋮ Stability and bifurcation of delayed bidirectional gene regulatory networks with negative feedback loops ⋮ Super-transient scaling in time-delay autonomous Boolean network motifs ⋮ Piecewise linear and Boolean models of chemical reaction networks ⋮ Introduction to Focus Issue: Quantitative Approaches to Genetic Networks ⋮ On uniqueness of a cycle in one circular gene network model

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• Boolean delay equations: A simple way of looking at complex systems
• Computational cell biology
• A new necessary condition on interaction graphs for multistationarity
• Chaotic dynamics in an electronic model of a genetic network
• On the origin of chaos in autonomous Boolean networks

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