Optimal metabolic pathway activation

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dc.creatorOyarzún, Diego
dc.creatorIngalls, Brian
dc.creatorMiddleton, Richard
dc.creatorKalamatianos, Dimitrios
dc.date2008-01-16
dc.date.accessioned2026-07-07T08:54:48Z
dc.date.available2026-07-07T08:54:48Z
dc.descriptionThis 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.
dc.description14 pages, 3 figures. Paper to be presented at the 17th IFAC World Congress, Seoul, Korea, July 2008
dc.identifierhttps://arxiv.org/abs/0801.2447
dc.identifierhttp://arxiv.org/abs/0801.2447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146069
dc.subjectQuantitative Methods
dc.subjectOptimization and Control
dc.subjectMolecular Networks
dc.titleOptimal metabolic pathway activation
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