There has been a resurgence of interest in non-equilibrium stochastic processes in recent
years, driven in part by the observation that the number of molecules (genes, mRNA …

Monotone subsystems have appealing properties as components of larger networks, since
they exhibit robust dynamical stability and predictability of responses to perturbations. This …

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 …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …

The quantitative analysis of biological sequence data is based on methods from statistics
coupled with efficient algorithms from computer science. Algebra provides a framework for …

We consider stochastically modeled chemical reaction systems with mass-action kinetics
and prove that a product-form stationary distribution exists for each closed, irreducible …

Much attention has been paid recently to bistability and switch-like behavior that might be
resident in important biochemical reaction networks. There is, in fact, a great deal of subtlety …

For mass action kinetics, the capacity for multiple equilibria in an isothermal homogeneous
continuous flow stirred tank reactor is determined by the structure of the underlying network …

This year we celebrate the 150th anniversary of the law of mass action. This law is often
assumed to have been “there” forever, but it has its own history, background, and a definite …