Computing the structural influence matrix for biological systems
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Publication:292684
DOI10.1007/s00285-015-0933-9zbMath1359.92040OpenAlexW1702807065WikidataQ46082015 ScholiaQ46082015MaRDI QIDQ292684
Christian Cuba Samaniego, Elisa Franco, Franco Blanchini, Giulia Giordano
Publication date: 8 June 2016
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-015-0933-9
Classical flows, reactions, etc. in chemistry (92E20) Nonlinear ordinary differential equations and systems (34A34) Biochemistry, molecular biology (92C40) Systems biology, networks (92C42) Sign pattern matrices (15B35)
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Structural analysis in biology: a control-theoretic approach ⋮ Polyhedral Lyapunov functions structurally ensure global asymptotic stability of dynamical networks iff the Jacobian is non-singular ⋮ Vertex results for the robust analysis of uncertain biochemical systems ⋮ Sign‐sensitivity of metabolic networks: Which structures determine the sign of the responses ⋮ Exact probabilities for the indeterminacy of complex networks as perceived through press perturbations ⋮ Optimal control of compartmental models: the exact solution
Cites Work
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- Oscillations in biochemical reaction networks arising from pairs of subnetworks
- The interaction graph structure of mass-action reaction networks
- Piecewise-linear Lyapunov functions for structural stability of biochemical networks
- A structural classification of candidate oscillatory and multistationary biochemical systems
- Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates
- Box invariance in biologically-inspired dynamical systems
- Stability analysis of uncertain genetic sum regulatory networks
- Disentangling nature, strength and stability issues in the characterization of population interactions
- Stability of closed invariant sets of semidynamical systems. The method of sign definite Lyapunov functions
- The existence and uniqueness of steady states for a class of chemical reaction networks
- Multiple steady states for chemical reaction networks of deficiency one
- Sensitivity of chemical reaction networks: a structural approach. 1. Examples and the carbon metabolic network
- Structural properties of the MAPK pathway topologies in PC12 cells
- Adaptation and regulation with signal detection implies internal model
- Life expectancy change in perturbed communities: Derivation and qualitative analysis
- Monotone chemical reaction networks
- DISCUSSION PAPER: THE QUALITATIVE ANALYSIS OF PARTIALLY SPECIFIED SYSTEMS
- Modeling Biomolecular Networks in Cells
- Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
- Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph
- Set-theoretic methods in control
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