Optimal Metabolic Regulation by Temporal Variation of Enzyme Activities: a Control Theoretic Approach
نویسندگان
چکیده
In this paper we use an optimal control approach to analyze time dependent enzyme concentrations that minimize the transition time of a metabolic pathway while respecting the natural constraints imposed by a limited biosynthetical capacity. Our main result states that, under appropriate assumptions, at each time instant all the available enzyme production capacity is allocated to a single reaction, a finding reminiscent of bang-bang control laws typical in classical timeoptimal control.
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