Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks

Motivated by investigating multistationarity in biochemical systems, we address saddle-node bifurcations for chemical reaction networks endowed with general kinetics. At positive equilibria, identify structural network conditions that guarantee the bifurcation behavior, and develop a method to proper parameters. As relevant example, explicitly provide such parameters Michaelis–Menten Hill Examples of applications include reversible feedback cycles, central carbon metabolism Escherichia coli, autocatalytic networks.