Optimal metabolic pathway activation

Details Optimal metabolic pathway activation Optimal metabolic pathway activation

2008-01-16

arxiv.org/abs/0801.2447v1

Biology

Quantitative Biology

Quantitative Methods

14 pages, 3 figures. Paper to be presented at the 17th IFAC World Congress, Seoul, Korea, July 2008

Scientific paper

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.

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