Performance Limitations in Autocatalytic Pathways
Friday, November 20, 2015 - 10:00am - 10:15am
We develop some basic principles to study autocatalytic networks and exploit their structural properties in order to characterize their existing hard limits and essential tradeoffs. In a dynamical system with autocatalytic structure, the system’s output is necessary to catalyze its production. We consider a simplified model of glycolysis as our motivating example. First, we consider the properties of such pathways through a two-state model, which obtained by lumping all the intermediate reactions into a single intermediate reaction. Then, we generalize our results to autocatalytic pathways, which are composed of a chain of enzymatically catalyzed intermediate reactions. We explicitly derive the hard limit on the minimum L2-gain disturbance attenuation and the hard limit of its minimum output energy. Finally, we show that how these resulting hard limits lead to some fundamental tradeoffs between transient and steady-state behavior of the network and its net production.