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 |
| 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.