1 citations · 3 across the 4 of their papers we have counts for
8 papers
Layered mixed matrices and reaction networks
Arne Kuhrs, Máté L. Telek, Nicola Vassena
The purpose of this work is twofold. In the first part, we consider layered mixed matrices introduced by Murota, relate them to existing notions in combinatorial commutative algebr…
Sequential and distributive dual futile cycle: Hopf bifurcation can occur under parameter-rich kinetics but cannot occur under mass action kinetics
Nicola Vassena
This paper establishes that the system of ordinary differential equations arising from the sequential and distributive dual futile cycle has the structural capacity for Hopf bifurc…
BiRNe: Symbolic bifurcation analysis of reaction networks with Python
Richard Golnik, Thomas Gatter, Peter F. Stadler +1
Computer algebra methods for analyzing reaction networks often rely on the assumption of mass-action kinetics, which transform the governing ODEs into polynomial systems amenable t…
Enumeration of Autocatalytic Subsystems in Large Chemical Reaction Networks
Richard Golnik, Thomas Gatter, Peter F. Stadler +1
Autocatalysis is an important feature of metabolic networks, contributing crucially to the self-maintenance of organisms. Autocatalytic subsystems of chemical reaction networks (CR…
Stoichiometric recipes for periodic oscillations in reaction networks
Alexander Blokhuis, Peter F. Stadler, Nicola Vassena
Oscillatory chemical reactions are functional components in a variety of biological contexts. In chemistry, the construction and identification of even rudimentary oscillators rema…
Mass action systems: two criteria for Hopf bifurcation without Hurwitz
Nicola Vassena
We state two sufficient criteria for periodic oscillations in mass action systems. Neither criterion requires a computation of the Hurwitz determinants. Instead, both criteria expl…