Learning restricted Boolean network model by time-series data

EURASIP Journal on Bioinformatics and Systems Biology

Table 3 Regulatory relationships for three input genes

Number	$x_{j_{1}} (t)$	$x_{j_{2}} (t)$	$x_{j_{3}} (t)$	x_i(t) → x_i(t + 1)	$a_{i j_{1}}$	$a_{i j_{2}}$	$a_{i j_{3}}$	Constraint
1	0	0	1	0 → 0	No	No	−1
2	0	1	0		No	−1	No
3	1	0	0		−1	No	No
4	0	1	1		No	−1 or 1	−1 or 1	$a_{i j_{2}} + a_{i j_{3}} \leq 0$
5	1	0	1		−1 or 1	No	−1 or 1	$a_{i j_{1}} + a_{i j_{3}} \leq 0$
6	1	1	0		−1 or 1	−1 or 1	No	$a_{i j_{1}} + a_{i j_{2}} \leq 0$
7	1	1	1		−1 or 1	−1 or 1	−1 or 1	$a_{i j_{1}} + a_{i j_{2}} + a_{i j_{3}} < 0$
8	0	0	1	0 → 1	No	No	1
9	0	1	0		No	1	No
10	1	0	0		1	No	No
11	0	1	1		No	1	1
12	1	0	1		1	No	1
13	1	1	0		1	1	No
14	1	1	1		−1 or 1	−1 or 1	−1 or 1	$a_{i j_{1}} + a_{i j_{2}} + a_{i j_{3}} > 0$
15	0	0	1	1 → 0	No	No	−1
16	0	1	0		No	−1	No
17	1	0	0		−1	No	No
18	0	1	1		No	−1	−1
19	1	0	1		−1	No	−1
20	1	1	0		−1	−1	No
21	1	1	1		−1 or 1	−1 or 1	−1 or 1	$a_{i j_{1}} + a_{i j_{2}} + a_{i j_{3}} < 0$
22	0	0	1	1 → 1	No	No	1
23	0	1	0		No	1	No
24	1	0	0		1	No	No
25	0	1	1		No	−1 or 1	−1 or 1	$a_{i j_{2}} + a_{i j_{3}} \geq 0$
26	1	0	1		−1 or 1	No	−1 or 1	$a_{i j_{1}} + a_{i j_{3}} \geq 0$
27	1	1	0		−1 or 1	−1 or 1	No	$a_{i j_{1}} + a_{i j_{2}} \geq 0$
28	1	1	1		−1 or 1	−1 or 1	−1 or 1	$a_{i j_{1}} + a_{i j_{2}} + a_{i j_{3}} > 0$