Multi-objective optimization of enzyme manipulations in metabolic networks considering resilience effects

BMC Systems Biology

Table 4 The optimal solution for multi-synthesis maximization by E.coli considering resilience effects

ε-value	$\frac{v_{P E P C}^{*}}{v_{P E P C}^{b a s a l}}$	$\frac{v_{S E R S}^{*}}{v_{S E R S}^{b a s a l}}$	$\frac{v_{D A H P S}^{*}}{v_{D A H P S}^{b a s a l}}$	Modulated enzymes	Optimal objective value $(η_{D}^{*})$
1	1.262	1.079	1.545	PK	0.971
	1.342	1.068	1.780	G6PDH	0.975
2	1.214	1.447	1.586	G6PDH, SERS	0.867
	1.186	1.365	1.407	PK, SERS	0.891^†
	1.763	1.105	2.174	PK, G6PDH	0.968
3	1.443	1.740	1.884	G6PDH, PK, SERS	0.811
	1.314	1.591	1.764	G6PDH, SERS, RPPK	0.849^†
4	1.582	1.829	2.044	G6PDH, PK, SERS, RPPK	0.810
	1.412	1.782	1.985	G6PDH, PK, SERS, DAHPS	0.821^†
5	1.479	2.010	2.177	G6PDH, PK, SERS, RPPK, DAHPS	0.809
	1.704	1.980	2.143	G6PDH, PK, SERS, RPPK, SYN1	0.815

The optimal enzymatic modulation to maximize aromatic amino acid, serine, and oxaloacetate synthesis rates simultaneously by E. coli considering fuzzy cell viability constraints and fuzzy metabolic adjustment for . and are set to 0.2. and are set to 5.0. The superscript * means optimal solution, † denotes that the solution is not a Pareto solution, and ε is the number of allowed manipulated genes.

ISSN: 1752-0509