ArticleBMC systems biology2011
Structurally robust biological networks.
Article in BMC systems biology, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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13 citing papers in PubMed.
- Multicellular force coordination constructs microchannel networks for barrier-free metastasis across extracellular matrix.Science advances · 2025Article
- Promiscuity in Polyphenol-Protein Interactions-Monitoring Protein Conformational Change upon Polyphenol-Protein Binding by Nano-Differential Fluorimetry (Nano-DSF).Molecules (Basel, Switzerland) · 2025Article
- A hidden integral structure endows absolute concentration robust systems with resilience to dynamical concentration disturbances.Journal of the Royal Society, Interface · 2020Article
- Controlling large Boolean networks with single-step perturbations.Bioinformatics (Oxford, England) · 2019Article
- Ceramide-transfer protein-mediated ceramide transfer is a structurally tunable flow-inducing mechanism with structural feed-forward loops.Royal Society open science · 2018Article
- Molecular Engineering of Robustness and Resilience in Enzymatic Reaction Networks.Journal of the American Chemical Society · 2017Article
- Grip on complexity in chemical reaction networks.Beilstein journal of organic chemistry · 2017Review
- A Statistical Approach Reveals Designs for the Most Robust Stochastic Gene Oscillators.ACS synthetic biology · 2016Article
- Computing the structural influence matrix for biological systems.Journal of mathematical biology · 2016Article
- An analytical approach to bistable biological circuit discrimination using real algebraic geometry.Journal of the Royal Society, Interface · 2015Article
- Stochastic analysis of biochemical reaction networks with absolute concentration robustness.Journal of the Royal Society, Interface · 2014Article
- Structural properties of the MAPK pathway topologies in PC12 cells.Journal of mathematical biology · 2013Article
- Network medicine: linking disorders.Human genetics · 2012Review
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2 authors.
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No grant is acknowledged in the PubMed record.
Abstract
backgroundThe molecular circuitry of living organisms performs remarkably robust regulatory tasks, despite the often intrinsic variability of its components. A large body of research has in fact highlighted that robustness is often a structural property of biological systems. However, there are few systematic methods to mathematically model and describe structural robustness. With a few exceptions, numerical studies are often the preferred approach to this type of investigation.
resultsIn this paper, we propose a framework to analyze robust stability of equilibria in biological networks. We employ Lyapunov and invariant sets theory, focusing on the structure of ordinary differential equation models. Without resorting to extensive numerical simulations, often necessary to explore the behavior of a model in its parameter space, we provide rigorous proofs of robust stability of known bio-molecular networks. Our results are in line with existing literature.
conclusionsThe impact of our results is twofold: on the one hand, we highlight that classical and simple control theory methods are extremely useful to characterize the behavior of biological networks analytically. On the other hand, we are able to demonstrate that some biological networks are robust thanks to their structure and some qualitative properties of the interactions, regardless of the specific values of their parameters.
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