Designing optimal cell factories: integer programming couples elementary mode analysis with regulation

BMC Systems Biology

Table 1 list of all EM for Figure 1

	EM flux vector, $ê_{i}$													Binary representation, e_i, of EM flux vector, $ê_{i}$
	R1	R2	R3	R4	R5	R6	R7	R8	R9	R10	R11	R12		R1	R2	R3	R4	R5	R6	R7	R8	R9	R10	R11	R12	$\| \| e_{i} \| \|$
EM 1	1.0	0.0	0.0	1.0	0.0	0.0	1.0	1.0	0.0	0.0	0.0	1.0	G=	1	0	0	1	0	0	1	1	0	0	0	1	5	=\| g \|
EM 2	1.0	0.0	0.0	0.5	1.0	0.0	1.0	0.0	0.5	0.0	1.0	1.0	K=	1	0	0	1	1	0	1	1	1	0	1	1	8	=\| k \|
EM 3	1.0	0.0	0.0	0.5	0.0	1.0	0.0	0.0	0.5	1.0	0.0	1.0		1	0	0	1	0	1	0	0	1	1	0	1	6
EM 4	0.5	1.0	0.0	1.0	0.0	0.0	0.0	1.0	0.0	0.0	0.0	0.0		1	1	0	1	0	0	0	1	0	0	0	0	4
EM 5	0.5	1.0	0.0	0.5	1.0	0.0	0.0	0.0	0.5	0.0	1.0	0.0		1	1	0	1	1	0	0	0	1	0	1	0	6
EM 6	0.5	1.0	0.0	0.5	0.0	1.0	-1.0	0.0	0.5	1.0	0.0	0.0		1	1	0	1	0	1	1	0	1	1	0	0	7
EM 7	0.0	0.0	1.0	1.0	0.0	0.0	0.0	1.0	0.0	0.0	0.0	0.0	H=	0	0	1	1	0	0	0	1	0	0	0	0	3	=\| h \|
EM 8	0.0	0.0	1.0	0.5	1.0	0.0	0.0	0.0	0.5	0.0	1.0	0.0		0	0	1	1	1	0	0	0	1	0	1	0	5
EM 9	0.0	0.0	1.0	0.5	0.0	1.0	-1.0	0.0	0.5	1.0	0.0	0.0		0	0	1	1	0	1	1	0	1	1	0	0	6

List of all EM flux vectors, $ê_{i}$ , and their binary representation, e_i, for the toy network illustrated in Figure 1. EM are sorted by decreasing order of substrate utilization of A. The matrices and vectors G,H,K, and | g |,| h |,| k |, respectively, are defined as used in the illustrative example of section “Illustrative example”.

ISSN: 1752-0509