A methodology, fluorescence-intensity distribution analysis, has been developed for confocal microscopy studies in which the fluorescence intensity of a sample with a heterogeneous brightness profile is monitored. An adjustable formula, modeling the spatial brightness distribution, and the technique of generating functions for calculation of theoretical photon count number distributions serve as the two cornerstones of the methodology. The method permits the simultaneous determination of concentrations and specific brightness values of a number of individual fluorescent species in solution. Accordingly, we present an extremely sensitive tool to monitor the interaction of fluorescently labeled molecules or other microparticles with their respective biological counterparts that should find a wide application in life sciences, medicine, and drug discovery. Its potential is demonstrated by studying the hybridization of 5-(6-carboxytetramethylrhodamine)-labeled and nonlabeled complementary oligonucleotides and the subsequent cleavage of the DNA hybrids by restriction enzymes. In modern fluorescence correlation experiments, with a confocal high-aperture microscope, continuous wave laser excitation, and avalanche photodiode detection, more than 10 5 photons per s are detected routinely from a single photostable dye molecule passing through the focus of the microscope, which is more than two orders of magnitude higher than the background count rate (1). In a similar manner as cells are studied in cell-sorting devices, the method allows one to study single molecules independently of one another. Single molecules diffuse randomly in all three dimensions within the sample; however, each time they become visible, they do not necessarily pass through the center of the focus. Therefore, an event in which a relatively bright molecule enters the periphery of the laser beam only briefly cannot be distinguished from an event in which a dark molecule passes through the focus, because they leave identical traces in terms of detectable photon counts.Fluorescent species with different specific brightnesses can be distinguished, however, by collecting a statistical distribution of the number of photon counts at time intervals of given length. (Specific brightness is a molecular quantity, expressed as the mean count rate per molecule. It is proportional to the molecular absorption cross section and to the fluorescence quantum yield.) The distribution of photon count numbers is used to determine concentrations of molecules of heterogeneous brightness in the sample. We expect this method of sample analysis to be a valuable tool in various disciplines from fundamental research to very specific applications, e.g., drug discovery and diagnostics.Fluorescence-intensity fluctuations caused by random movement of fluorescent molecules into and out of an illuminated sample volume have been studied since fluorescence correlation spectroscopy (FCS) was established 27 years ago (2-4). An initial kind of sample analysis based on determining moments ...

Fluorescence correlation spectroscopy (FCS) has proven to be a powerful technique with single-molecule sensitivity. Recently, it has found a complement in the form of fluorescence intensity distribution analysis (FIDA). Here we introduce a fluorescence fluctuation method that combines the features of both techniques. It is based on the global analysis of a set of photon count number histograms, recorded with multiple widths of counting time intervals simultaneously. This fluorescence intensity multiple distributions analysis (FIMDA) distinguishes fluorescent species on the basis of both the specific molecular brightness and the translational diffusion time. The combined information, extracted from a single measurement, increases the readout effectively by one dimension and thus breaks the individual limits of FCS and FIDA. In this paper a theory is introduced that describes the dependence of photon count number distributions on diffusion coefficients. The theory is applied to a series of photon count number histograms corresponding to different widths of counting time intervals. Although the ability of the method to determine specific brightness values, diffusion times, and concentrations from mixtures is demonstrated on simulated data, its experimental utilization is shown by the determination of the binding constant of a protein-ligand interaction exemplifying its broad applicability in the life sciences.

A method of sample analysis is presented which is based on fitting a joint distribution of photon count numbers. In experiments, fluorescence from a microscopic volume containing a fluctuating number of molecules is monitored by two detectors, using a confocal microscope. The two detectors may have different polarizational or spectral responses. Concentrations of fluorescent species together with two specific brightness values per species are determined. The two-dimensional fluorescence intensity distribution analysis (2D-FIDA), if used with a polarization cube, is a tool that is able to distinguish fluorescent species with different specific polarization ratios. As an example of polarization studies by 2D-FIDA, binding of 5'-(6-carboxytetramethylrhodamine) (TAMRA)-labeled theophylline to an anti-theophylline antibody has been studied. Alternatively, if two-color equipment is used, 2D-FIDA can determine concentrations and specific brightness values of fluorescent species corresponding to individual labels alone and their complex. As an example of two-color 2D-FIDA, binding of TAMRA-labeled somatostatin-14 to the human type-2 high-affinity somatostatin receptors present in stained vesicles has been studied. The presented method is unusually accurate among fluorescence fluctuation methods. It is well suited for monitoring a variety of molecular interactions, including receptors and ligands or antibodies and antigens.

Fluorescence fluctuation methods such as fluorescence correlation spectroscopy and fluorescence intensity distribution analysis (FIDA) have proven to be versatile tools for studying molecular interactions with single molecule sensitivity. Another well-known fluorescence technique is the measurement of the fluorescence lifetime. Here, we introduce a method that combines the benefits of both FIDA and fluorescence lifetime analysis. It is based on fitting the two-dimensional histogram of the number of photons detected in counting time intervals of given width and the sum of excitation to detection delay times of these photons. Referred to as fluorescence intensity and lifetime distribution analysis (FILDA), the technique distinguishes fluorescence species on the basis of both their specific molecular brightness and the lifetime of the excited state and is also able to determine absolute fluorophore concentrations. The combined information yielded by FILDA results in significantly increased accuracy compared to that of FIDA or fluorescence lifetime analysis alone. In this paper, the theory of FILDA is elaborated and applied to both simulated and experimental data. The outstanding power of this technique in resolving different species is shown by quantifying the binding of calmodulin to a peptide ligand, thus indicating the potential for application of FILDA to similar problems in the life sciences.

SummaryVignetting of microscopic images impacts both the visual impression of the images and any image analysis applied to it. Especially in high-throughput screening high demands are made on an automated image analysis. In our work we focused on fluorescent samples and found that two profiles (background and foreground) for each imaging channel need to be estimated to achieve a sufficiently flat image after correction. We have developed a method which runs completely unsupervised on a wide range of assays. By adding a reliable internal quality control we mitigate the risk of introducing artefacts into sample images through correction. The method requires hundreds of images for the foreground profile, thus limiting its application to high-throughput screening where this requirement is fulfilled in routine operation.