Oyarzún, Diego A. and Ingalls, Brian and Middleton, Richard H. and Kalamatianos, Dimitrios (2008) Optimal metabolic pathway activation. In: 17th IFAC World Congress, July 6-11 2008, Seoul, Korea. (Unpublished)

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Abstract

This paper deals with temporal enzyme distribution in the activation of biochemical pathways. Pathway activation arises when production of a certain biomolecule is required due to changing environmental conditions. Under the premise that biological systems have been optimized through evolutionary processes, a biologically meaningful optimal control problem is posed. In this setup, the enzyme concentrations are assumed to be time dependent and constrained by a limited overall enzyme production capacity, while the optimization criterion accounts for both time and resource usage. Using geometric arguments we establish the bang-bang nature of the solution and reveal that each reaction must be sequentially activated in the same order as they appear in the pathway. The results hold for a broad range of enzyme dynamics which includes, but is not limited to, Mass Action, Michaelis-Menten and Hill Equation kinetics.

Item Type:	Conference or Workshop Item (Paper)
Additional Information:	Preprint version of paper presented at the 17th IFAC World Congress, Seoul, Korea, July 2008. DOI: 10.3182/20080706-5-KR-1001.02130
Keywords:	metabolic pathway activation; temporal enzyme distribution; biochemical; biomolecule;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	3634
Depositing User:	Dimitris Kalamatianos
Date Deposited:	02 May 2012 15:29
Refereed:	No
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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