Existence criteria of periodic oscillations in cyclic gene regulatory networks

DOI10.1016/j.automatica.2011.02.042zbMath1235.93122OpenAlexW2061094822MaRDI QIDQ665147

Shinji Hara, Yutaka Hori, Tae-Hyoung Kim

Publication date: 5 March 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.02.042

zbMATH Keywords

nonlinear systemslarge-scale systemsperiodic oscillationsystems biologygene regulatory network

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Systems biology, networks (92C42)

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Cites Work

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• Existence criteria of periodic oscillations in cyclic gene regulatory networks
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• Oscillations and multiple steady states in a cyclic gene model with repression
• The secant condition for instability in biochemical feedback control. I: The role of cooperativity and saturability
• Existence of periodic solutions for negative feedback cellular control systems
• Diagonal stability of a class of cyclic systems and its connection with the secant criterion