3 papers
math.DS2020
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…
math.DS2019
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…
math.OC2016
A Linear Programming Approach to Dynamical Equivalence, Linear Conjugacy, and the Deficiency One Theorem
Matthew D. Johnston
The well-known Deficiency One Theorem gives structural conditions on a chemical reaction network under which, for any set of parameter values, the steady states of the correspondin…