Composition of the dwell-time distribution of all intervals for Scheme 2 in which the tC2/tC1 ratio is 1. (A) The observed distribution of all interval durations (black line) is comprised of all {C1} intervals (green line) plus all {C1C2} intervals (blue line) and is also described by the sum of the exponential components E1 (black dashed line) plus E2 (red dashed line). (B) Semilogarithmic plots of the distributions shown in A plus the constituent distributions (purple lines) for specific gating sequences n = 1–6 in Table II, where n indicates the number of C1 to C2 transitions for each interval in that distribution. The constituent distributions for n = 1 to infinity sum to generate {C1C2}. (C) The difference between {C1} and E1 (shaded area) indicates the “excess” intervals in {C1} over those required for E1. (D) The difference between E2 and {C1C2} (shaded area) indicates the “missing” intervals needed to fill in the gap between {C1C2} and E2 to complete E2. (E) A plot of the “missing” intervals, E2-{C1C2}, exactly superimposes a plot of the “excess” intervals, {C1}-E1, for all interval durations, indicating that the excess intervals are exactly sufficient to fill in the missing intervals at each point in time. Clearly, E1 is not equal to {C1} and E2 is not equal to {C1C2} when the ratio of tC2/tC1 is 1. 3–5,45 and 8 can be converted into probability density functions by dividing the values on the ordinate by 2.
