Piecewise-linear Lyapunov functions for structural stability of biochemical networks

F Blanchini, G Giordano - Automatica, 2014 - Elsevier
We consider the problem of assessing structural stability of biochemical reaction networks
with monotone reaction rates, namely of establishing if all the networks with a certain …

Computing the structural influence matrix for biological systems

G Giordano, C Cuba Samaniego, E Franco… - Journal of Mathematical …, 2016 - Springer
We consider the problem of identifying structural influences of external inputs on steady-
state outputs in a biological network model. We speak of a structural influence if, upon a …

Unifying matrix stability concepts with a view to applications

OY Kushel - SIAM Review, 2019 - SIAM
Multiplicative and additive D-stability, diagonal stability, Schur D-stability, and H-stability are
classical concepts which arise in studying linear dynamical systems. We unify these types of …

Inactivation of tumor suppressor genes and cancer therapy: An evolutionary game theory approach

H Khadem, H Kebriaei, Z Veisi - Mathematical Biosciences, 2017 - Elsevier
Inactivation of alleles in tumor suppressor genes (TSG) is one of the important issues
resulting in evolution of cancerous cells. In this paper, the evolution of healthy, one and two …

Qualitative and quantitative responses to press perturbations in ecological networks

G Giordano, C Altafini - Scientific Reports, 2017 - nature.com
Predicting the sign of press perturbation responses in ecological networks is challenging,
due to the poor knowledge of the strength of the direct interactions among the species, and …

Structural analysis and control of dynamical networks

G Giordano - 2016 - air.uniud.it
A dynamical network is comprised of a finite number of subsystems, each having its own
dynamics, which interact according to a given interconnection topology. Dynamical networks …

Design of a molecular bistable system with RNA-mediated regulation

V Mardanlou, CH Tran, E Franco - 53rd IEEE Conference on …, 2014 - ieeexplore.ieee.org
We design a new biomolecular circuit with the potential for bistable behavior. We study this
candidate toggle switch and find sufficient conditions on key parameters that guarantee …

Design constraints for biological systems that achieve adaptation and disturbance rejection

H Steel, A Papachristodoulou - IEEE Transactions on Control of …, 2018 - ieeexplore.ieee.org
Many processes in natural biological systems, such as chemotaxis in bacteria and
osmoregulation in yeast, rely on control architectures fundamentally equivalent to commonly …

Checking structural stability of BDC-decomposable systems via convex optimisation

F Blanchini, G Chesi, P Colaneri… - IEEE Control Systems …, 2019 - ieeexplore.ieee.org
In this letter we show how the problem of assessing structural local stability of BDC-
decomposable systems, left open in recent literature, can be solved via convex optimisation …

BDC-Decomposition for Global Influence Analysis

F Blanchini, G Giordano - IEEE Control Systems Letters, 2018 - ieeexplore.ieee.org
In biochemical networks, the steady-state input-output influence is the sign of the output
steady-state variation due to a persistent positive input perturbation; if the sign does not …