We introduce the notion of nonoscillation, propose a constructive method for its robust
verification, and study its application to biological interaction networks (also known as …

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

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 …

Dynamical systems are topologically equivalent when their orbits can be mapped onto each
other via a homeomorphic change of coordinates. We will show that in general, closed-loop …

Given a class of (bio) Chemical Reaction Networks (CRNs) identified by a stoichiometric
matrix S, we define as dual reaction network, CRN*, the class of (bio) Chemical Reaction …

The interaction of phase-separating systems with chemical reactions is of great interest in
various contexts, from biology to material science. In biology, phase separation is thought to …

In systems biology, perfect adaptation (adaptation) denotes the property of a system reacting
to a step input stimulus by completely (partially) restoring the pre-stimulus output value at …

Collective decision-making can be investigated in a variety of different contexts, from opinion
dynamics to swarm robotics. In the context of honeybee swarms, the evolutionary dynamics …