Oyarzun, D. and Ingalls, B. and Middleton, R. and Kalamatianos, D.
Optimal metabolic pathway activation.
In: 17th IFAC World Congress, July 6-11 2008, Seoul, Korea.
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.
Conference or Workshop Item
||Preprint version of paper presented at the 17th IFAC World Congress, Seoul, Korea, July 2008. DOI: 10.3182/20080706-5-KR-1001.02130
||metabolic pathway activation; temporal enzyme distribution; biochemical; biomolecule;
||Science & Engineering > Hamilton Institute
||02 May 2012 15:29
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