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Optimal metabolic regulation by temporal variation of enzyme activities: a control theoretic approach

Oyarzun, Diego and Ingalls, Brian and Kalamatianos, Dimitrios (2007) Optimal metabolic regulation by temporal variation of enzyme activities: a control theoretic approach. Proceedings of the Foundations of Systems Biology in Engineering Conference, Stuttgart, Germany. FOSBE 2007 . pp. 491-496.

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Abstract

In this paper we use an optimal control approach to analyze time dependent enzyme concentrations that minimize the transition time of a metabolic pathway while respecting the natural constraints imposed by a limited biosynthetical capacity. Our main result states that, under appropriate assumptions, at each time instant all the available enzyme production capacity is allocated to a single reaction, a finding reminiscent of bang-bang control laws typical in classical time-optimal control.

Item Type: Article
Keywords: Metabolic pathways; metabolic regulation; optimal control;
Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID: 2119
Depositing User: Dimitris Kalamatianos
Date Deposited: 22 Sep 2010 15:26
Journal or Publication Title: Proceedings of the Foundations of Systems Biology in Engineering Conference, Stuttgart, Germany. FOSBE 2007
Refereed: Yes
URI:

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