3 papers
math.NA2014
A computational approach to persistence, permanence, and endotacticity of biochemical reaction systems
Matthew D. Johnston, Casian Pantea, Pete Donnell
We introduce a mixed-integer linear programming (MILP) framework capable of determining whether a chemical reaction network possesses the property of being endotactic or strongly e…
math.DS2012
Local and global stability of equilibria for a class of chemical reaction networks
Pete Donnell, Murad Banaji
A class of chemical reaction networks is described with the property that each positive equilibrium is locally asymptotically stable relative to its stoichiometry class, an invaria…
q-bio.QM2007
Stability in generic mitochondrial models
Pete Donnell, Murad Banaji, Stephen Baigent
In this paper, we use a variety of mathematical techniques to explore existence, local stability, and global stability of equilibria in abstract models of mitochondrial metabolism.…