Finding bifurcations in reaction networks with parameter-rich kinetics MI 03.06.011 (Boltzmannstr. 3, 85748 Garching)

Biochemical reaction networks, e.g. of metabolic type, may comprise hundreds of species and reactions. On the other hand, reactions are typically not expressed in an elementary form: their rates are consequently not in mass-action form but they involve more parameters as e.g. Michaelis-Menten kinetics.

In this talk, I present an approach to understand the possible range dynamics of such networks, which exploits the parameter richness of the reaction rates. At a fixed equilibrium, we rescale the partial derivatives appearing in the Jacobian to highlight change of stabilities and bifurcations, with consequent nearby dynamics. In essence, we identify fast `leading’ subnetworks that drives the dynamics into an unstable region, causing the occurrence of specific bifurcations.