Research in Systems & Mathematical Biology
Interplay between the dynamics of genetic and metabolic networks
Upon changes in intra- or extra-cellular conditions, the modulation of metabolic activity allows for resource allocation (activation or suppression of specific pathways) and responses to environmental stimuli. One of the mechanisms that underpins this regulation is feedback genetic control; the dynamics of combined genetic/metabolic systems are well-understood in notable cases such as the Lac operon, but more complex regulatory topologies remain elusive. In this project we aim at characterizing the dynamics of a metabolic network coupled with a genetic circuit via metabolites that regulate enzyme synthesis. The metabolic subsystem is described by a nonlinear control-affine system, whereas the genetic circuit is modeled as a piecewise linear system, which accounts for the typical switch-like behavior of genetic interactions. See conference paper [12] below.
Collaborators: Dr Madalena Chaves (COMORE team, INRIA Sophia Antipolis, France).
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Publications
Journals
[7] |
D. A. Oyarzún.
Optimal control of metabolic networks with saturable enzyme kinetics. IET Systems Biology, in press.
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[6] | D. A. Oyarzún,
B. Ingalls, R. Middleton, and D. Kalamatianos.
Sequential activation of metabolic pathways: a dynamic optimization approach.
Bulletin of Mathematical Biology, 71(8):1851–1872,
2009.
(PDF)(Link)
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[5] | P. Lezana,
J. Rodríguez, and D. A. Oyarzún.
Cascaded multilevel inverter with regeneration capability and reduced number of
switches.
IEEE Transactions on Industrial Electronics,
55:1059–1066, 2008.
(Link) |
[4] | M. Salgado
and D. A. Oyarzún.
Double objective optimal multivariable ripple-free deadbeat control.
International Journal of Control, 80(5):763–773, 2007.
(PDF)
(Link) |
[3] | M. Salgado,
D. A. Oyarzún, and E. Silva.
H2 optimal ripple-free deadbeat controller design.
Automatica, 43(11):1961–1967, 2007.
(PDF)
(Link) |
[2] | E. Silva, D. A. Oyarzún,
and M. Salgado.
On structurally constrained H2 performance bounds for stable MIMO plant
models.
IET Control Theory & Applications, 1(4):1033–1045, 2007.
(PDF)
(Link) |
[1] | M. Salgado and
D. A. Oyarzún.
Basic integrated modelling: A case study.
International Journal on Electrical Engineering Education,
43(3):217–231, 2006.
(PDF)
(Link) |
Conference proceedings
[12] |
D. A. Oyarzún and M. Chaves.
Global gene regulation in metabolic networks. Under review, 2010. (INRIA report on HAL archives PDF)
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[11] |
D. A. Oyarzún and R. H. Middleton.
Optimal adaptation of metabolic networks in dynamic equilibrium. Under review, 2010.
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[10] | F. López-Caamal,
D. A. Oyarzún, D. Kalamatianos and J. Moreno.
Control structure and limitations of biochemical networks. In Proceedings of the 2010 American Control Conference, pp. 6668–6673, Baltimore, USA. (PDF)
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[9] | B. -F. Krippendorff,
D. A. Oyarzún and W. Huisinga.
Ligand accumulation counteracts therapeutic inhibition of receptor systems. In Proceedings of Foundations of Systems Biology & Engineering (FOSBE), pp. 173–176, Denver, USA, 2009. (PDF)
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[8] | A. Peters,
D. A. Oyarzún, E. Silva, and M. Salgado.
Analytic characterization of a stabilizing feedback for LTI plants.
In European Control Conference, pp. 231–235, Budapest, Hungary, 2009. (PDF)
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[7] | D. A. Oyarzún,
B. Ingalls, R. Middleton, and D. Kalamatianos.
Optimal metabolic pathway activation.
In 17th IFAC World Congress, pp. 12587–12592, Seoul, Korea, 2008.
(PDF) |
[6] | D. A. Oyarzún
and M. Salgado.
Optimal triangular approximation for linear stable multivariable systems.
In Proceedings of 2007 American Control Conference,
pp. 5158–5153, New York, USA.
(PDF) |
[5] | D. A. Oyarzún
and E. Silva.
Effect of downstream feedback on the achievable performance of feedback control
loops for serial processes.
In Proceedings of European Control Conference, Kos, Greece, pages
1727–1733, 2007.
(PDF) |
[4] | D. A. Oyarzún, B. Ingalls, and D. Kalamatianos.
Optimal metabolic regulation by time variation of enzyme activities: a control
theoretic approach.
In Proceedings of Foundations of Systems Biology and Engineering,
Stuttgart, Germany, pages 491–496, 2007.
(PDF) |
[3] | D. A. Oyarzún
and M. Salgado.
Suboptimal triangular controller design methodology for full MIMO stable
systems.
In Proceedings of the 6th bi-ennial UKACC Control Conference, Glasgow,
Scotland, 2006.
(PDF) |
[2] | P. Lezana,
J. Rodríguez, D. R. Oyarzún, and J. Pontt.
Novel cell based on reduced single-phase active front end for multicell
converters.
In Proceedings of the 31st Annual Conference of the IEEE Industrial
Electronics Society, Raleigh, USA, pages 733–738, 2005.
(PDF) |
[1] | M. Salgado
and D. R. Oyarzún.
MIMO interactions in sampled-data systems.
In Proceedings of the 16th IFAC World Congress, Prague, Czech
Republic, 2005.
(PDF) |
Others
D. A. Oyarzún, Límites en desempeño para lazos multivariables con controladores de estructura triangular. M. Sc. Thesis, Universidad Técnica Federico Santa María, Valparaíso, Chile, 2006.
[ .pdf ] (Errata not available)
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D. A. Oyarzún, A control-theoretic approach to dynamic optimization of metabolic networks. Ph.D. Thesis, National University of Ireland, Maynooth, 2010.
[ .pdf ]
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