4 papers · 1 filter
Analysis of Mass-Action Systems by Split Network Translation
Matthew D. Johnston
We introduce the notion of corresponding a chemical reaction network to a split network translation, and use this novel process to extend the scope of existing network-based theory…
On classes of reaction networks and their associated polynomial dynamical systems
David F. Anderson, James D. Brunner, Gheorghe Craciun +1
In the study of reaction networks and the polynomial dynamical systems that they generate, special classes of networks with important properties have been identified. These include…
Realizations of kinetic differential equations
G. Craciun, M. D. Johnston, G. Szederkényi +3
The induced kinetic differential equation of a reaction network endowed with mass action type kinetics is a system of polynomial differential equations. The problem studied here is…
A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems
Matthew D. Johnston, Stefan Müller, Casian Pantea
We present conditions which guarantee a parametrization of the set of positive equilibria of a generalized mass-action system. Our main results state that (i) if the underlying gen…