Stochastic Approach to Data Analysis in Fluorescence Correlation Spectroscopy

Imaging fluorescence fluctuation spectroscopy: new tools for quantitative bioimaging

Fluorescence fluctuation spectroscopy (FFS) techniques provide information at the single-molecule level with excellent time resolution. Usually applied at a single spot in a sample, they have been recently extended into imaging formats, referred to as imaging FFS. They provide spatial information at the optical diffraction limit and temporal information in the microsecond to millisecond range. This review provides an overview of the different modalities in which imaging FFS techniques have been implemented and discusses present imaging FFS capabilities and limitations. A combination of imaging FFS and nanoscopy would allow one to record information with the detailed spatial information of nanoscopy, which is ∼20 nm and limited only by fluorophore size and labeling density, and the time resolution of imaging FFS, limited by the fluorescence lifetime. This combination would provide new insights into biological events by providing spatiotemporal resolution at unprecedented levels.

Automatic analysis of composite physical signals using non-negative factorization and information criterion

In time-resolved spectroscopy, composite signal sequences representing energy transfer in fluorescence materials are measured, and the physical characteristics of the materials are analyzed. Each signal sequence is represented by a sum of non-negative signal components, which are expressed by model functions. For analyzing the physical characteristics of a measured signal sequence, the parameters of the model functions are estimated. Furthermore, in order to quantitatively analyze real measurement data and to reduce the risk of improper decisions, it is necessary to obtain the statistical characteristics from several sequences rather than just a single sequence. In the present paper, we propose an automatic method by which to analyze composite signals using non-negative factorization and an information criterion. The proposed method decomposes the composite signal sequences using non-negative factorization subjected to parametric base functions. The number of components (i.e., rank) is also estimated using Akaike's information criterion. Experiments using simulated and real data reveal that the proposed method automatically estimates the acceptable ranks and parameters.

Nanoaperture-enhanced signal-to-noise ratio in fluorescence correlation spectroscopy

The fluorescence enhancement found in gold nanoapertures is demonstrated to increase the signal-to-noise ratio (SNR) in fluorescence correlation spectroscopy (FCS). Starting from a general discussion on noise in FCS experiments, we show that fluorescence enhancement leads to a dramatic increase in the SNR. This prediction is confirmed by experiments where we report an experimental gain in SNR of about 1 order of magnitude, corresponding to a 100-fold reduction of the experiment duration. This technique is then applied to monitor the kinetics of a fast enzymatic cleavage reaction. This set of experiments evidence the feasibility of FCS analysis with fast integration times of about 1 s, opening the way to the monitoring of a variety of biochemical reactions at reduced time scales.

Multifunctional fluorescence correlation microscope for intracellular and microfluidic measurements

A modified fluorescence correlation microscope (FCM) was built on a commercial confocal laser scanning microscope (CLSM) by adding two sensitive detectors to perform fluorescence correlation spectroscopy (FCS). A single pinhole for both imaging and spectroscopy and a simple slider switch between the two modes thus facilitate the accurate positioning of the FCS observation volume after the confocal image acquisition. Due to the use of a single pinhole for CLSM and FCS the identity of imaged and spectroscopically observed positions is guaranteed. The presented FCM system has the capability to position the FCS observation volume at any point within the inner 30% of the field of view without loss in performance and in the inner 60% of the field of view with changes of FCS parameters of less than 10%. A single pinhole scheme for spatial fluorescence cross correlation spectroscopy performed on the FCM system is proposed to determine microfluidic flow angles. To show the applicability and versatility of the system, we measured the translational diffusion coefficients on the upper and lower membranes of Chinese hamster ovary cells. Two-photon excitation FCS was also realized by coupling a pulsed Ti: sapphire laser into the microscope and used for flow direction characterization in microchannels.