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 …

The precision of currents in Markov networks is bounded by dissipation via the so-called
thermodynamic uncertainty relation (TUR). In our Letter, we demonstrate a similar inequality …

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

In nonequilibrium steady states of Markov jump processes, we derive exact Fluctuation-
Response Relations (FRRs) that express the covariance between any pair of currents in …

Autocatalytic chemical networks play a predominant role in a large number of natural
systems such as in metabolic pathways and in ecological networks. Despite recent efforts …

The global steady state of a system in thermal equilibrium exponentially favors
configurations with lesser energy. This principle is a powerful explanation of self …

We analyze the static response to kinetic perturbations of nonequilibrium steady states that
can be modeled as diffusions. We demonstrate that kinetic response is purely a …

Many biological decision-making processes can be viewed as performing a classification
task over a set of inputs, using various chemical and physical processes as" biological …

Several types of dynamics at stationarity can be described in terms of a Markov jump
process among a finite number N of representative sites. Before dealing with the dynamical …