Linear control analysis of the autocatalytic glycolysis system
- Creators
- Chandra, Fiona A.
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Buzi, Gentian
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Doyle, John C.
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.
Additional Information
© 2009 AACC. Manuscript received March 12, 2009. This work was supported in part by the Institute for Collaborative Biotechnologies through grant DAAD19-03-D-0004 from the U.S. Army Research Office. The authors thank H. Schmidt for his ODE model file.Attached Files
Published - Chandra2009p81122009_American_Control_Conference_Vols_1-9.pdf
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Additional details
- Eprint ID
- 18192
- Resolver ID
- CaltechAUTHORS:20100507-144031986
- Army Research Office (ARO)
- DAAD19-03-D-0004
- Created
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2010-05-16Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field