For continuous-time Markov chains and open unimolecular chemical reaction networks, we
prove that any two stationary currents are linearly related upon perturbations of a single …

We consider Markov jump processes on a graph described by a rate matrix that depends on
various control parameters. We derive explicit expressions for the static responses of edge …

Complex systems are characterized by multiple spatial and temporal scales. A natural
framework to capture their multiscale nature is that of multilayer networks, where different …

The field of developmental metabolism is experiencing a technological revolution that is
opening entirely new fields of inquiry. Advances in metabolomics, small-molecule sensors …

Living systems operate within physical constraints imposed by nonequilibrium
thermodynamics. This review explores recent advancements in applying these principles to …

The modern thermodynamics of discrete systems is based on graph theory, which provides
both algebraic methods to define observables and a geometric intuition of their meaning and …

We discuss via general arguments and examples when and why the steady nonequilibrium
heat capacity vanishes with temperature. The framework is that of Markov jump processes …

Perfect adaptation is a phenomenon whereby the output variables of a system can maintain
certain values despite external disturbances. Robust perfect adaptation (RPA) refers to an …

Energy transduction is central to living organisms, but the impact of enzyme regulation and
signaling on its thermodynamic efficiency is generally overlooked. Here, we analyze the …

We develop a framework describing the dynamics and thermodynamics of open non-ideal
reaction–diffusion systems, which embodies Flory–Huggins theories of mixtures and …