Infinitesimal homeostasis in three-node input-output networks

DOI10.1007/s00285-019-01457-xzbMath1436.92009OpenAlexW2999219991WikidataQ92529281 ScholiaQ92529281MaRDI QIDQ2299278

Yangyang Wang, Martin Golubitsky

Publication date: 21 February 2020

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-019-01457-x

zbMATH Keywords

excitationinhibitioncatastrophe theorysingularity theoryfeedback loopnodeinput-output networkchair in Haldane homeostasiscoupling pathinfinitesimal homeostasis

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Systems biology, networks (92C42)

Related Items (7)

Bifurcations on Fully Inhomogeneous Networks ⋮ On biological networks capable of robust adaptation in the presence of uncertainties: a linear systems-theoretic approach ⋮ Input-Output Networks, Singularity Theory, and Homeostasis ⋮ The structure of infinitesimal homeostasis in input-output networks ⋮ Homeostasis and injectivity: a reaction network perspective ⋮ A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves ⋮ Classification of infinitesimal homeostasis in four-node input-output networks

Cites Work

• Escape from homeostasis
• Homeostasis, singularities, and networks
• Design principles for the analysis and construction of robustly homeostatic biological networks
• Homeostasis in a feed forward loop gene regulatory motif
• Homeostasis with Multiple Inputs
• Nonlinear dynamics of networks: the groupoid formalism

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