Homeostasis in networks with multiple input nodes and robustness in bacterial chemotaxis

DOI10.1007/s00332-022-09793-xzbMath1496.37094arXiv2011.04415OpenAlexW3103208418MaRDI QIDQ2127728

João Luiz de Oliveira Madeira, Fernando Antoneli

Publication date: 21 April 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.04415

zbMATH Keywords

homeostasiscoupled systemsbiochemical networksperfect adaptationcombinatorial matrix theoryinput-output networks

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Cell movement (chemotaxis, etc.) (92C17) Biological rhythms and synchronization (92B25)

Uses Software

• XPPAUT

Cites Work

• Unnamed Item
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• The concepts of irreducibility and full indecomposability of a matrix in the works of Frobenius, König and Markov
• Mathematical analysis of the Escherichia coli chemotaxis signalling pathway
• Homeostasis in a feed forward loop gene regulatory motif
• Analysis of homeostatic mechanisms in biochemical networks
• The structure of infinitesimal homeostasis in input-output networks
• Overview of mathematical approaches used to model bacterial chemotaxis. I: The single cell
• Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
• Topological models in Biology
• Simulating, Analyzing, and Animating Dynamical Systems
• Homeostasis with Multiple Inputs
• Input-Output Networks, Singularity Theory, and Homeostasis
• Nonlinear dynamics of networks: the groupoid formalism

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