Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities

DOI10.1137/21M1398331zbMath1483.37107arXiv2103.17184OpenAlexW3206645419MaRDI QIDQ5860638

Hiroe Oka, Hiroshi Kokubu, Konstantin Mischaikow, Tomáš Gedeon, William Duncan

Publication date: 22 November 2021

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

Full work available at URL: https://arxiv.org/abs/2103.17184

zbMATH Keywords

switching systemsequilibriacyclic feedback systemsregulatory networks

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Systems biology, networks (92C42)

Related Items (4)

Qualitative Behavior of a Metabolic Pathway with Hybrid Feedback ⋮ Modeling transport regulation in gene regulatory networks ⋮ Continuation sheaves in dynamics: sheaf cohomology and bifurcation ⋮ Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation

Uses Software

• GitHub
• DSGRN

Cites Work

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• Combinatorial Representation of Parameter Space for Switching Networks

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