When I am called upon to teach fluid mechanics, I always show students a copy of Newton's
Principia. I do this for a number of reasons, not least of which is the connection I hope they …

Reaction networks, or equivalently Petri nets, are a general framework for describing
processes in which entities of various kinds interact and turn into other entities. In chemistry …

We build a rigorous nonequilibrium thermodynamic description for open chemical reaction
networks of elementary reactions. Their dynamics is described by deterministic rate …

We propose a housekeeping/excess decomposition of entropy production for general
nonlinear dynamics in a discrete space, including chemical reaction networks and discrete …

The theory of chemical kinetics forms the basis to describe the dynamics of chemical
reaction networks. Owing to physical and thermodynamic constraints, the networks possess …

The quantitative convergence to equilibrium for reaction-diffusion systems arising from
complex balanced chemical reaction networks with mass action kinetics is studied using the …

Some of the most common mathematical models in biology, chemistry, physics, and
engineering are polynomial dynamical systems, ie, systems of differential equations with …

The transition from Newtonian mechanics to quantum mechanics in the early years of the
twentieth century was a major step in the progress of our understanding of the world. This …

Reaction networks taken with mass-action kinetics arise in many settings, such as
epidemiology, population biology, and systems of chemical reactions. Bistable reaction …

We prove a sample path Large Deviation Principle (LDP) for a class of jump processes
whose rates are not uniformly Lipschitz continuous in phase space. Building on it, we further …