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 …

Despite their complexity, biological systems are able to endure huge parameter fluctuations
and survive in the most diverse environmental conditions. Mathematical tools from graph …

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 …

Molecular systems are uncertain: The variability of reaction parameters and the presence of
unknown interactions can weaken the predictive capacity of solid mathematical models …

We consider the problem of assessing the sensitivity of uncertain biochemical systems in the
presence of input perturbations (either constant or periodic) around a stable steady state. In …

Feedback is both a pillar of control theory and a pervasive principle of nature. For this
reason, control-theoretic methods are powerful to analyse the dynamic behaviour of …

A property for a class of systems is said to be structural if it is met by any system in the class
regardless of the adopted parameters. In this paper we investigate the structural nature of …

The dynamics of networks of interacting dynamical systems depend on the nature of the
coupling between individual units. We explore networks of oscillatory units with coupling …

This book introduces time-continuous Markov chain modelling generic stochastic dynamics
from systems biology, and shows how Markov chain models of biochemical reaction …

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 …