Linear control analysis of the autocatalytic glycolysis system

Authors:
Fiona A. Chandra;Gentian Buzi;John C. Doyle
Affiliations:
Department of BioEngineering, California Institute of Technology, Pasadena, CA;Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA;Departments of Control and Dynamical Systems and BioEngineering, California Institute of Technology, Pasadena, CA
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 2
Cited 2

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Analysis of autocatalytic networks in biology

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Stability analysis of quasi-polynomial dynamical systems with applications to biological network models

Automatica (Journal of IFAC)

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Abstract

Autocatalysis is necessary and ubiquitous in both engineered and biological systems but can aggravate control performance and cause instability. We analyze the properties of autocatalysis in the universal and well studied glycolytic pathway. A simple two-state model incorporating ATP autocatalysis and inhibitory feedback control captures the essential dynamics, including limit cycle oscillations, observed experimentally. System performance is limited by the inherent autocatalytic stoichiometry and higher levels of autocatalysis exacerbate stability and performance. We show that glycolytic oscillations are not merely a "frozen accident" but a result of the intrinsic stability tradeoffs emerging from the autocatalytic mechanism. This model has pedagogical value as well as appearing to be the simplest and most complete illustration yet of Bode's integral formula.