Müller J D, Chen Y, Gratton E
Laboratory for Fluorescence Dynamics, University of Illinois at Urbana-Champaign, Urbana, Illinois, 61801 USA.
Biophys J. 2000 Jan;78(1):474-86. doi: 10.1016/S0006-3495(00)76610-0.
The diffusion of fluorescent particles through a small, illuminated observation volume gives rise to intensity fluctuations caused by particle number fluctuations in the open observation volume and the inhomogeneous excitation-beam profile. The intensity distribution of these fluorescence fluctuations is experimentally captured by the photon-counting histogram (PCH). We recently introduced the theory of the PCH for diffusing particles (Chen et al., Biophys. J., 77:553-567), where we showed that we can uniquely describe the distribution of photon counts with only two parameters for each species: the molecular brightness of the particle and the average number of particles within the observation volume. The PCH is sensitive to the molecular brightness and thus offers the possibility to separate a mixture of fluorescent species into its constituents, based on a difference in their molecular brightness alone. This analysis is complementary to the autocorrelation function, traditionally used in fluorescence fluctuation spectroscopy, which separates a mixture of species by a difference in their diffusion coefficient. The PCH of each individual species is convoluted successively to yield the PCH of the mixture. Successful resolution of the histogram into its components is largely a matter of the signal statistics. Here, we discuss the case of two species in detail and show that a concentration for each species exists, where the signal statistics is optimal. We also discuss the influence of the absolute molecular brightness and the brightness contrast between two species on the resolvability of two species. A binary dye mixture serves as a model system to demonstrate that the molecular brightness and the concentration of each species can be resolved experimentally from a single or from several histograms. We extend our study to biomolecules, where we label proteins with a fluorescent dye and show that a brightness ratio of two can be resolved. The ability to resolve a brightness ratio of two is very important for biological applications.
荧光颗粒在一个小的、被照亮的观测体积内扩散,会由于开放观测体积内的颗粒数波动以及激发光束轮廓的不均匀性而产生强度波动。这些荧光波动的强度分布通过光子计数直方图(PCH)进行实验捕获。我们最近引入了用于扩散颗粒的PCH理论(Chen等人,《生物物理杂志》,77:553 - 567),在该理论中我们表明,对于每个物种,仅用两个参数就能唯一描述光子计数的分布:颗粒的分子亮度和观测体积内的平均颗粒数。PCH对分子亮度敏感,因此仅基于荧光物种分子亮度的差异,就有可能将荧光物种的混合物分离成其成分。这种分析是对传统上用于荧光波动光谱学的自相关函数的补充,自相关函数通过物种扩散系数的差异来分离混合物。每个单独物种的PCH依次卷积以得到混合物的PCH。将直方图成功解析为其成分在很大程度上取决于信号统计。在这里,我们详细讨论两种物种的情况,并表明存在每个物种的一个浓度,此时信号统计是最优的。我们还讨论了绝对分子亮度以及两种物种之间的亮度对比度对两种物种可分辨性的影响。一种二元染料混合物用作模型系统,以证明每个物种的分子亮度和浓度可以从单个或多个直方图中通过实验解析出来。我们将研究扩展到生物分子,在其中我们用荧光染料标记蛋白质,并表明可以解析出两者的亮度比。解析两种物质亮度比的能力在生物学应用中非常重要。