The structure of infinitesimal homeostasis in input-output networks

DOI10.1007/s00285-021-01614-1zbMath1467.92083arXiv2007.05348OpenAlexW3041435504WikidataQ113905519 ScholiaQ113905519MaRDI QIDQ2037046

Fernando Antoneli, Zhengyuan Huang, Yangyang Wang, Martin Golubitsky

Publication date: 30 June 2021

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

Full work available at URL: https://arxiv.org/abs/2007.05348

zbMATH Keywords

homeostasiscoupled systemsbiochemical networksperfect adaptationcombinatorial matrix theoryinput-output networks

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Related Items (6)

Homeostasis in networks with multiple input nodes and robustness in bacterial chemotaxis ⋮ On biological networks capable of robust adaptation in the presence of uncertainties: a linear systems-theoretic approach ⋮ Input-Output Networks, Singularity Theory, and Homeostasis ⋮ 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

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• Escape from homeostasis
• Homeostasis, singularities, and networks
• Design principles for the analysis and construction of robustly homeostatic biological networks
• The concepts of irreducibility and full indecomposability of a matrix in the works of Frobenius, König and Markov
• Homeostasis in a feed forward loop gene regulatory motif
• Analysis of homeostatic mechanisms in biochemical networks
• Infinitesimal homeostasis in three-node input-output networks
• Combinatorial Matrix Theory
• Nonlinear dynamics of networks: the groupoid formalism

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