Fundamental Limits and Tradeoffs in Autocatalytic Pathways
School of Science Technology and Health
This paper develops some basic principles to study autocatalytic networks and exploit their structural properties in order to characterize their inherent fundamental limits and tradeoffs. In a dynamical system with autocatalytic structure, the system's output is necessary to catalyze its own production. Our study has been motivated by a simplified model of a glycolysis pathway. First, the properties of this class of pathways are investigated through a network model, which consists of a chain of enzymatically catalyzed intermediate reactions coupled with an autocatalytic component. We explicitly derive a hard limit on the minimum achievable L 2 -gain disturbance attenuation and a hard limit on its minimum required output energy. Then, we show how these resulting hard limits lead to some fundamental tradeoffs between transient and steady-state behavior of the network and its net production
Biological networks; Molecular biophysics; Optimal control
IEEE Transactions on Automatic Control
DOI of Published Version
Buzi, Gentian, "Fundamental Limits and Tradeoffs in Autocatalytic Pathways" (2019). Faculty Articles & Research. 454.