Bistability and oscillatory behaviours of cyclic feedback loops

DOI10.1007/s10440-023-00618-xzbMath1524.92042arXiv2304.12801MaRDI QIDQ6089346

Jules Guilberteau

Publication date: 17 November 2023

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.12801

zbMATH Keywords

stability analysisperiodic orbitmultistabilitygene regulatory networkrepressilatortoggle switch

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Systems biology, networks (92C42)

Cites Work

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• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays

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