Correspondence of Trap Spaces in Different Models of Bioregulatory Networks

DOI10.1137/17M1155302zbMath1393.37101OpenAlexW2809069200WikidataQ57981875 ScholiaQ57981875MaRDI QIDQ3176280

Susanna Röblitz, Heike Siebert, Robert Schwieger

Publication date: 19 July 2018

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

Full work available at URL: https://doi.org/10.1137/17m1155302

zbMATH Keywords

invariant setordinary differential equationattractorBoolean networktrap space

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Qualitative theory for ordinary differential equations (34C99) Difference equations (39A99) Systems biology, networks (92C42)

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Self-sustaining positive feedback loops in discrete and continuous systems ⋮ Ramp approximations of sigmoid control functions in gene networks

Cites Work

• Deriving behavior of Boolean bioregulatory networks from subnetwork dynamics
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• Computing maximal and minimal trap spaces of Boolean networks
• Piecewise linear and Boolean models of chemical reaction networks
• An effective network reduction approach to find the dynamical repertoire of discrete dynamic networks
• Hierarchy of models: From qualitative to quantitative analysis of circadian rhythms in cyanobacteria
• Hybrid Systems: Computation and Control
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