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Fundamental Limits and Tradeoffs in Autocatalytic Pathways

Siami, Milad and Motee, Nader and Buzi, Gentian and Bamieh, Bassam and Khammash, Mustafa and Doyle, John C. (2020) Fundamental Limits and Tradeoffs in Autocatalytic Pathways. IEEE Transactions on Automatic Control, 65 (2). pp. 733-740. ISSN 0018-9286. https://resolver.caltech.edu/CaltechAUTHORS:20190613-142206629

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/tac.2019.2921671DOIArticle
https://arxiv.org/abs/1706.09810arXivDiscussion Paper
ORCID:
AuthorORCID
Siami, Milad0000-0001-7253-4464
Motee, Nader0000-0002-0597-3659
Buzi, Gentian0000-0002-8724-3405
Bamieh, Bassam0000-0001-9237-4613
Khammash, Mustafa0000-0002-4855-9220
Doyle, John C.0000-0002-1828-2486
Additional Information:© 2019 IEEE. Manuscript received March 5, 2018; revised October 26, 2018 and April 22, 2019; accepted May 10, 2019. Date of publication June 7, 2019; date of current version January 28, 2020. M. Siami and N. Motee were in part supported by the NSF CAREER ECCS-1454022 and ONR YIP N00014-16-1-2645. B. Bamieh was in part supported by the NSF Award ECCS-1408442.
Funders:
Funding AgencyGrant Number
NSFECCS-1454022
Office of Naval Research (ONR)N00014-16-1-2645
NSFECCS-1408442
Subject Keywords:Biological networks, fundamental limits and tradeoffs, network analysis and control, nonlinear network analysis, optimal control, Robustness
Issue or Number:2
Record Number:CaltechAUTHORS:20190613-142206629
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190613-142206629
Official Citation:M. Siami, N. Motee, G. Buzi, B. Bamieh, M. Khammash and J. C. Doyle, "Fundamental Limits and Tradeoffs in Autocatalytic Pathways," in IEEE Transactions on Automatic Control, vol. 65, no. 2, pp. 733-740, Feb. 2020. doi: 10.1109/TAC.2019.2921671
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96394
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:17 Jun 2019 15:05
Last Modified:03 Feb 2020 17:03

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