Flomenbom Ophir, Klafter Joseph, Szabo Attila
School of Chemistry, Raymond & Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Israel.
Biophys J. 2005 Jun;88(6):3780-3. doi: 10.1529/biophysj.104.055905. Epub 2005 Mar 11.
A time trajectory of an observable that fluctuates between two values (say, on and off), stemming from some unknown multisubstate kinetic scheme, is the output of many single-molecule experiments. Here we show that when all successive waiting times along the trajectory are uncorrelated the on and the off waiting time probability density functions contain all the information. By relating the lack of correlation in the trajectory to the topology of kinetic schemes, we can immediately specify those kinetic schemes that are equally consistent with experiment, and cannot be differentiated by any sophisticated analyses of the trajectory. Correlated trajectories, however, contain additional information about the underlying kinetic scheme, and we consider the strategy that one should use to extract it.
源于某些未知多子状态动力学机制的、在两个值（例如开和关）之间波动的可观测量的时间轨迹，是许多单分子实验的输出结果。在这里我们表明，当沿着轨迹的所有连续等待时间不相关时，开和关等待时间概率密度函数包含了所有信息。通过将轨迹中缺乏相关性与动力学机制的拓扑结构联系起来，我们可以立即确定那些与实验同样一致且无法通过对轨迹进行任何复杂分析来区分的动力学机制。然而，相关轨迹包含了关于潜在动力学机制的额外信息，并且我们考虑了应该用来提取它的策略。
