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. 2008 Aug;132(2):295–312. doi: 10.1085/jgp.200810008

TABLE II.

Gating Sequences for Scheme 2, their Probabilities, and State Composition

n Gating sequence P No. of C1 No. of C2
0 O1-C1-O1 0.5 1 0
1 O1-C1-(C2-C1-)1-O1 0.25 2 1
2 O1-C1-(C2-C1-)2-O1 0.125 3 2
3 O1-C1-(C2-C1-)3-O1 0.0625 4 3
n O1-C1-(C2-C1-)n-O1 0.5n+1 n+1 n

P is the probability of the indicated gating sequences out of all possible gating sequences for n = 0 to infinity. The {C1} distribution is comprised of all closed intervals arising from gating sequence n = 0, and the {C1C2} distribution is comprised of all closed intervals for gating sequences for integer values of n = 1 to infinity (Eq. 6). The sum of the probabilities for gating sequences 1 through infinity is 0.5. Thus, half of all closed intervals are to {C1} with the other half to {C1C2}. No. of C1 and No. of C2 indicate the number of sojourns through C1 and C2, respectively, that contribute to each interval generated by the specific gating sequence.