Performance Limitations in Autocatalytic Pathways

Friday, November 20, 2015 - 10:00am - 10:15am
Keller 3-180
Milad Siami (Lehigh University)
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.