The interplay of mathematical modelling with experiments is one of the central elements in
systems biology. The aim of reverse engineering is to infer, analyse and understand …

The use of mathematical methods for the analysis of chemical reaction systems has a very
long history, and involves many types of models: deterministic versus stochastic, continuous …

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 …

The broad abundance of time series data, which is in sharp contrast to limited knowledge of
the underlying network dynamic processes that produce such observations, calls for a …

We give necessary and sufficient conditions in terms of sign vectors for the injectivity of
families of polynomial maps with arbitrary real exponents defined on the positive orthant …

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 …

Many dynamical systems arising in biology and other areas exhibit multistationarity (two or
more positive steady states with the same conserved quantities). Although deciding …

Chemical reaction systems are dynamical systems that arise in chemical engineering and
systems biology. In this work, we consider the question of whether the minimal (in a precise …

Which reaction networks, when taken with mass-action kinetics, have the capacity for
multiple steady states? There is no complete answer to this question, but over the last 40 …

We describe a large class of chemical reaction networks, those endowed with a subtle
structural property called concordance. We show that the class of concordant networks …