For reasons primarily rooted in biology, there is now a growing interest in
connections between the structure of a chemical reaction network and the varieties
of dynamical behavior the network might admit. In particular, there is an interest in
understanding “design principles” that evolution might invoke to connect
architectural features of a reaction network to the cell function the network is
intended to implement. Over the past few decades, deep understanding of
structure-behavior connections has begun to emerge. Although much of the
underlying work is highly mathematical, it is wonderful that some of the deepest
and most useful results can be stated in ways that are highly accessible to a wide
variety of scientists. Some of those results will be discussed.