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. Author manuscript; available in PMC: 2020 Feb 7.
Published in final edited form as: J Theor Biol. 2018 Nov 28;462:514–527. doi: 10.1016/j.jtbi.2018.11.034

Table 2.

Boolean Realizations of Motif 1A(i)

C1 C2 A B C D
B1 B2 B1 B2 B1 B2 B1 B2
Row 1 1 1
1 0
0 1
0 0		 0 0
1 0
0 1
1 1		 1 0 with prob p
0 1 with prob 1 − p
1 0
0 1
1 0 with prob q
0 1 with prob 1 − q 		1 0
1 0
0 1
0 1		 0 1
1 0
0 1
0 1
Row 2 State Space graphic file with name nihms-1516249-t0005.jpg graphic file with name nihms-1516249-t0006.jpg graphic file with name nihms-1516249-t0007.jpg graphic file with name nihms-1516249-t0008.jpg
Asymptotic state Probability of asymptotic states*
Row 3 Steady state (1,0)
Steady state (0,1)
Oscillation (00↔11)		 0.25
0.25
0.5		 0.25+0.25(p+q)
0.75−0.25(p+q)
0		 0.5
0.5
0		 0.25
0.75
0
*

The four different versions of motif 1A(i) make different predictions about the probability that the system will end up in a particular asymptotic state given that the system is started from an ensemble of initial conditions uniformly distributed over the four possible states of the system {(0,0), (1,0), (0,1), (1,1)}.