Likelihood functions for the analysis of single-molecule binned photon sequences
Likelihood functions for the analysis of single-molecule binned photon sequences
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DOI：
10.1016/j.chemphys.2011.06.006
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发表时间：
2012-03-02
期刊：
影响因子：
2.3
通讯作者：
Gopich, Irina V.
中科院分区：
文献类型：
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作者：
Gopich, Irina V.
我们考虑对一类实验进行分析，其中记录连续时间间隔内的光子数量。可以使用基于可能性的方法来研究光子计数序列或 FRET 效率。对于构象动力学和状态相关的泊松光子统计的动力学模型，开发了计算该模型描述此类光子序列或 FRET 效率的精确可能性的形式。提供了二态动力学模型的似然函数的显式解析表达式。考虑构象动力学非常慢以至于在时间段内最多发生单个转变的重要特殊情况。通过进行一系列近似，我们最终恢复了隐马尔可夫模型中使用的似然函数。通过这种方式，不仅可以深入了解该过程的有效性范围，而且可以获得改进的似然函数。由 Elsevier B.V. 出版
We consider the analysis of a class of experiments in which the number of photons in consecutive time intervals is recorded. Sequence of photon counts or, alternatively, of FRET efficiencies can be studied using likelihood-based methods. For a kinetic model of the conformational dynamics and state-dependent Poisson photon statistics, the formalism to calculate the exact likelihood that this model describes such sequences of photons or FRET efficiencies is developed. Explicit analytic expressions for the likelihood function for a two-state kinetic model are provided. The important special case when conformational dynamics are so slow that at most a single transition occurs in a time bin is considered. By making a series of approximations, we eventually recover the likelihood function used in hidden Markov models. In this way, not only is insight gained into the range of validity of this procedure, but also an improved likelihood function can be obtained. Published by Elsevier B.V.