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Structural analysis in biology: a control-theoretic approach (Q2664202)

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Language	Label	Description	Also known as
English	Structural analysis in biology: a control-theoretic approach	scientific article

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scholarly article

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Structural analysis in biology: a control-theoretic approach (English)

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zbMATH Open document ID

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10.1016/j.automatica.2020.109376

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Franco Blanchini

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Giulia Giordano

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publication date

20 April 2021

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

dynamical networks

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structural analysis

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robustness

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chemical reaction networks

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systems biology

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ODE-models

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.automatica.2020.109376

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Box invariance in biologically-inspired dynamical systems

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New Approach to the Stability of Chemical Reaction Networks: Piecewise Linear in Rates Lyapunov Functions

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Global Asymptotic Stability for a Class of Nonlinear Chemical Equations

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Boundedness of trajectories for weakly reversible, single linkage class reaction systems

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Stochastic Analysis of Biochemical Systems

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A tutorial on chemical reaction network dynamics

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A Modular Criterion for Persistence of Chemical Reaction Networks

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Boundedness analysis for open chemical reaction networks with mass-action kinetics

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Combinatorial approaches to Hopf bifurcations in systems of interacting elements

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A Petri net approach to the study of persistence in chemical reaction networks

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Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates

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Attractors in coherent systems of differential equations

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Monotone control systems

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Multi-stability in monotone input/output systems

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Pattern Formation by Lateral Inhibition in Large-Scale Networks of Cells

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Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements

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<i>P</i>Matrix Properties, Injectivity, and Stability in Chemical Reaction Systems

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Polyhedral Lyapunov functions structurally ensure global asymptotic stability of dynamical networks iff the Jacobian is non-singular

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Set-theoretic methods in control

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Input-to-State Stability of Rate-Controlled Biochemical Networks

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The kinetics in mathematical models on segmentation clock genes in zebrafish

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Modeling Biomolecular Networks in Cells

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Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph

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The interaction graph structure of mass-action reaction networks

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The existence and uniqueness of steady states for a class of chemical reaction networks

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Multiple steady states for chemical reaction networks of deficiency one

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Foundations of chemical reaction network theory

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Variable Elimination in Chemical Reaction Networks with Mass-Action Kinetics

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Sensitivity of chemical reaction networks: a structural approach. 2. Regular monomolecular systems

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Computing the structural influence matrix for biological systems

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Positive and Negative Circuits in Dynamical Systems

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Robust stability analysis for LTI systems with generalized frequency variables and its application to gene regulatory networks

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An index theorem for dissipative semiflows

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Qualitative Theory of Compartmental Systems

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Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation

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A Survey of Methods for Deciding Whether a Reaction Network is Multistationary

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A new necessary condition on interaction graphs for multistationarity

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Complex Balancing Reconstructed to the Asymptotic Stability of Mass-Action Chemical Reaction Networks with Conservation Laws

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Uniqueness in the Schauder Fixed Point Theorem

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Chemical oscillations, waves, and turbulence

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Multistability, oscillations and bifurcations in feedback loops

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Asymptotic behavior of nonlinear compartmental systems: Nonoscillation and stability

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Oscillations in biochemical reaction networks arising from pairs of subnetworks

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Sensitivity of chemical reaction networks: a structural approach. 1. Examples and the carbon metabolic network

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Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. I

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Local dissipative Hamiltonian description of reversible reaction networks

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Comparing different ODE modelling approaches for gene regulatory networks

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Invalidation of the structure of genetic network dynamics: a geometric approach

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Biology and control theory: Current challenges

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Graphical methods for analysing feedback in biological networks – A survey

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Global stability of a class of futile cycles

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A graph-theoretical approach for the analysis and model reduction of complex-balanced chemical reaction networks

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A fixed point theorem for bounded dynamical systems

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Synchronization of Interconnected Systems With Applications to Biochemical Networks: An Input-Output Approach

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Sensitivity and Robustness in Chemical Reaction Networks

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Necessary Conditions for Multistationarity and Stable Periodicity

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Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction

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Adaptation and regulation with signal detection implies internal model

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Molecular systems biology and control

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On rest points of dynamical systems

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Stochastic Approaches for Systems Biology

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On the Mathematical Structure of Balanced Chemical Reaction Networks Governed by Mass Action Kinetics

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A network dynamics approach to chemical reaction networks

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Robust stability and instability of biochemical networks with parametric uncertainty

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On the number of steady states in a multiple futile cycle

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Editorial for Special Issue on ‘Robustness in systems biology: Methods and applications’

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Diffeomorphisms with Banach space domains

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Mathematics(1 entry)

mardi Publication:2664202

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