Work

Fundamental Limits and Tradeoffs in Autocatalytic Pathways

Year: 2019

Type: article

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 L2-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.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2019.2921671

Authors: Milad Siami, Nader Motee, Gentian Buzi, Bassam Bamieh, Mustafa Khammash, John C. Doyle

Institutions: Northeastern University, Lehigh University, Biola University, University of California, Santa Barbara, ETH Zurich, California Institute of Technology

Language: English

Topic: Gene Regulatory Network Analysis

Subfield: Molecular Biology

Field: Biochemistry, Genetics and Molecular Biology

Domain: Life Sciences

Open Access status: green

Funders: National Science Foundation, Office of Naval Research

OpenAlex ID: W2727074344

FWCI: 0.573

Cites: 40

Cited by: 13

Related to: 20