Formulation of the MOO Problem

Maximizing DAHPS, PEPCxylase and SerSynth enzymatic flux ratios are expected to enhance the desired amino acids synthesis rates. Here, enzyme flux refers to the reaction rate facilitated by that enzyme. We opted to study two bi-objective scenarios. 

Case A Maximize DAHPS flux ratio and PEPCxylase flux ratio (13.1) 

The two emeial system eonstraints in the optimization are homeostasis and total enzymatie flux (Schmid et ah, 2004). First is the homeostatie eonstraint  

The summation is over all metabolites (m in number, 18 in our ease). C, is the eoneentration of i metabolite. Ci,ref is the reference eoneentration of the i metaboUte given in Table 13.1. The principle of homeostasis requires the mierobial eell to maintain intra-cellular metaboUte eoneentrations within eertain bounds (+30% in our study) - a physiologieal eonstraint so that the microbial cell does not suffer Irom 

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