13 citations · 24 across the 9 of their papers we have counts for
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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…
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…
Symbolic hunt of instabilities and bifurcations in reaction networks
Nicola Vassena
The localization of bifurcations in large parametric systems is still a challenge where the combination of rigorous criteria and informal intuition is often needed. With this motiv…
Structural conditions for saddle-node bifurcations in chemical reaction networks
Nicola Vassena
Motivated by investigating multistationarity in biochemical systems, we address saddle-node bifurcations for chemical reaction networks endowed with general kinetics. At positive e…
Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks
Nicola Vassena
Multistationarity is the property of a system to exhibit two distinct equilibria (steady-states) under otherwise identical conditions, and it is a phenomenon of recognized importan…