Oyarzún, Diego A., Ingalls, Brian, 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 (Unpublished)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) |
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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: | https://mu.eprints-hosting.org/id/eprint/3634 |
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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