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 biosynthet- ical 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 time- optimal control.
|Title of host publication||Foundations of Systems Biology and Engineering (FOSBE 2007)|
|Number of pages||6|
|Publication status||Published - 2007|
- metabolic pathways,metabolic regulation,optimal control