Title

Fundamental Limits and Tradeoffs in Autocatalytic Pathways

School/Department

School of Science Technology and Health

Publication Date

6-7-2019

Abstract

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

Keywords

Biological networks; Molecular biophysics; Optimal control

Publication Title

IEEE Transactions on Automatic Control

Volume

65

Issue

2

First Page

733

Last Page

740

DOI of Published Version

10.1109/TAC.2019.2921671.

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