Theory Of Fluorescence Correlation Spectroscopy Research Articles

Determination of Caspase-3 Activity and Its Inhibition Constant by Combination of Fluorescence Correlation Spectroscopy with a Microwell Chip.

Caspase-3 is a key enzyme executing apoptosis during ontogenesis and homeostasis of multicellular organisms, and is a very important and potential drug target in treatment of apoptosis disturbance. So far, no commercial drugs for caspase-3 are available, and it is urgently necessitated to develop an effective method for caspase-3 activity assay and its inhibitor screening. In this paper, we propose a new method for determination of caspase-3 activity and its inhibition constant by combining single molecule fluorescence correlation spectroscopy (FCS) with a microwell chip. Its principle is based on measurement of the enzyme reaction kinetics and homogeneous detection of the reaction product by FCS. This system can reduce the requirement sample volume to 1 μL level. The caspase-3 substrates are doubly labeled with fluorophore and biotin, the enzyme reaction can be quickly terminated in the presence of streptavidin, and the reaction products can be selectively detected by FCS. We established the model of caspase-3 inhibitor screening by combining the dynamics of enzyme reaction with FCS theory. This new method was successfully used for determination of inhibition constants of certain inhibitors and assay of drug-induced apoptosis. Compared to current methods, this method shows high sensitivity, small reagent dosage and short analysis time. We believe that this method will become an efficient platform for screening of caspase-3 inhibitors and detection of apoptosis.

Fluorescence correlation spectroscopy and nonlinear stochastic reaction-diffusion.

The currently existing theory of fluorescence correlation spectroscopy (FCS) is based on the linear fluctuation theory originally developed by Einstein, Onsager, Lax, and others as a phenomenological approach to equilibrium fluctuations in bulk solutions. For mesoscopic reaction-diffusion systems with nonlinear chemical reactions among a small number of molecules, a situation often encountered in single-cell biochemistry, it is expected that FCS time correlation functions of a reaction-diffusion system can deviate from the classic results of Elson and Magde [ Biopolymers 1974, 13, 1 - 27]. We first discuss this nonlinear effect for reaction systems without diffusion. For nonlinear stochastic reaction-diffusion systems, there are no closed solutions; therefore, stochastic Monte Carlo simulations are carried out. We show that the deviation is small for a simple bimolecular reaction; the most significant deviations occur when the number of molecules is small and of the same order. Our results show that current linear FCS theory could be adequate for measurements on biological systems that contain many other sources of uncertainties. At the same time, it provides a framework for future measurements of nonlinear, fluctuating chemical reactions with high-precision FCS. Extending Delbrück-Gillespie's theory for stochastic nonlinear reactions with rapid stirring to reaction-diffusion systems provides a mesoscopic model for chemical and biochemical reactions at nanometric and mesoscopic levels, such as a single biological cell.

Sensitive Single Particle Method for Characterizing Rapid Rotational and Translational Diffusion and Aspect Ratio of Anisotropic Nanoparticles and Its Application in Immunoassays

In this article, we reported a new and sensitive method for characterizing rapid rotational and translational diffusion of gold nanoparticles (GNPs) and gold nanorods (GNRs) by resonance light scattering correlation spectroscopy (RLSCS). The RLSCS is a new single nanoparticle method, and its principle is based on measuring the resonance light scattering fluctuations in a highly focused volume due to Brownian motion of single particles, which resembles fluorescence correlation spectroscopy (FCS). On the basis of the theory of FCS, we first developed a model for rotational and translational diffusion and aspect ratio of nanoparticles in the RLSCS system. Then, we investigated the effects of certain factors such as the wavelength of illumination light and viscosity of solution using GNPs and GNRs as model samples and discovered that the polarization anisotropy and the scattering light intensity of GNPs and GNRs were significantly dependent on the wavelengths of illumination light. Using the 632.8 nm He-Ne laser as a light source, which was close to the resonance scattering band, we successfully obtained the translational and rotational diffusion coefficients and aspect ratios of anisotropic nanoparticles by the RLSCS method. The results obtained by this new method were in good agreement with transmission electron microscopy and theoretical calculation. Furthermore, the homogeneous sandwich immunoreaction was investigated using the antibody-modified GNPs as the probes. The changes in translational diffusion behaviors and aspect ratios of GNPs in immunoreaction were observed by the RLSCS method. By these changes, we can develop a new homogeneous immunoassay. Our preliminary results illustrated that the RLSCS method was a powerful tool for characterizing rapid rotational and translational diffusion behaviors of anisotropic nanoparticles in solution. We believe that the RLSCS method exhibits the wide applications in biological science especially in vivo study on the interaction of nanoparticles and biomolecules.

Review: Applications of Fluorescence Correlation Spectroscopy with Microfluidic Devices

Fluorescence Correlation Spectroscopy (FCS) is a fluorescent spectroscopic technique that can be applied to measure the flow dynamics of a microfluidic channel. The principle of FCS is fluorescent molecules traveling through a tightly focused light volume inside a fluidic channel causes the fluorescent signal to fluctuate as the fluorescent molecules enter and exit the laser light focus. The flow parameter of the fluidic channel can be extracted from the autocorrelation function calculated from the measured fluorescent fluctuation. Several geometrical variations of FCS have been implemented to non-invasively map the flow characteristics of microfluidic devices in various ways to aid future designs of fluidic devices. Combining cross-correlation FCS (uses two types of fluorescent molecules) with microfluidic devices allows several important biomedical applications, including antigen detections and DNA-protein binding studies. In this article, the theory of FCS and its biomedical applications are reviewed.

Information Content in Fluorescence Correlation Spectroscopy: Binary Mixtures and Detection Volume Distortion

When properly implemented, fluorescence correlation spectroscopy (FCS) reveals numerous static and dynamic properties of molecules in solution. However, complications arise whenever the measurement scenario is complex. Specific limitations occur when the detection region does not match the ideal Gaussian geometry ubiquitously assumed by FCS theory, or when properties of multiple fluorescent species are assessed simultaneously. A simple binary solution of diffusers, where both mole fraction and diffusion constants are sought, can face interpretive difficulty. In order to better understand the limits of FCS, this study systematically explores the relationship between detection-volume distortion, diffusion constants, species mole fraction, and fitting methodology in analyses that utilize a two-component autocorrelation model. FCS measurements from solution mixtures of dye-labeled protein and free dye are compared to simulations, which predict the performance of FCS under a variety of experimental circumstances. The results reveal a range of conditions necessary for performing accurate measurements and describe experimental scenarios that should be avoided. The findings also provide guidelines for obtaining meaningful measurements when grossly distorted detection volumes are utilized and generally assess the latent information contained in FCS datasets.

Anomalous transport resolved in space and time by fluorescence correlation spectroscopy

A ubiquitous observation in crowded cell membranes is that molecular transport does not follow Fickian diffusion but exhibits subdiffusion. The microscopic origin of such a behaviour is not understood and highly debated. Here we discuss the spatio-temporal dynamics for two models of subdiffusion: fractional Brownian motion and hindered motion due to immobile obstacles. We show that the different microscopic mechanisms can be distinguished using fluorescence correlation spectroscopy (FCS) by systematic variation of the confocal detection area. We provide a theoretical framework for space-resolved FCS by generalising FCS theory beyond the common assumption of spatially Gaussian transport. We derive a master formula for the FCS autocorrelation function, from which it is evident that the beam waist of an FCS experiment is a similarly important parameter as the wavenumber of scattering experiments. These results lead to scaling properties of the FCS correlation for both models, which are tested by in silico experiments. Further, our scaling prediction is compatible with the FCS half-value times reported by Wawrezinieck et al. [Biophys. J. 89, 4029 (2005)] for in vivo experiments on a transmembrane protein.

Fluorescence Correlation Spectroscopy: The Case of Subdiffusion

The theory of fluorescence correlation spectroscopy is revisited here for the case of subdiffusing molecules. Subdiffusion is assumed to stem from a continuous-time random walk process with a fat-tailed distribution of waiting times and can therefore be formulated in terms of a fractional diffusion equation (FDE). The FDE plays the central role in developing the fluorescence correlation spectroscopy expressions, analogous to the role played by the simple diffusion equation for regular systems. Due to the nonstationary nature of the continuous-time random walk/FDE, some interesting properties emerge that are amenable to experimental verification and may help in discriminating among subdiffusion mechanisms. In particular, the current approach predicts 1), a strong dependence of correlation functions on the initial time (aging); 2), sensitivity of correlation functions to the averaging procedure, ensemble versus time averaging (ergodicity breaking); and 3), that the basic mean-squared displacement observable depends on how the mean is taken.

Theory of fluorescence correlation spectroscopy at variable observation area for two-dimensional diffusion on a meshgrid.

It has recently been proposed, with the help of numerical investigations, that fluorescence correlation spectroscopy at variable observation area can reveal the existence of a meshgrid of semi-permeable barriers hindering the two-dimensional diffusion of tagged particles, such as plasmic membrane constituents. We present a complete theory confirming and accounting for these findings. It enables a reliable, quantitative exploitation of experimental data from which the sub-wavelength mesh size can be extracted. Time-scales at which fluorescence correlation spectroscopy must be performed experimentally are discussed in detail.

Performance of Fluorescence Correlation Spectroscopy for Measuring Diffusion and Concentration

Fluorescence correlation spectroscopy (FCS) has become an important tool for measuring diffusion, concentration, and molecular interactions of cellular components. The interpretation of FCS data critically depends on the measurement set-up. Here, we present a rigorous theory of FCS based on exact wave-optical calculations. Six of the most important optical and photophysical factors that influence FCS are studied: fluorescence anisotropy, cover-slide thickness, refractive index of the sample, laser-beam geometry, optical saturation, and pinhole adjustment. Our theoretical framework represents a general attempt to link all relevant parameters of the experimental set-up with the measured correlation function.

Tracking-FCS: Fluorescence correlation spectroscopy of individual particles

We exploit recent advances in single-particle tracking to perform fluorescence correlation spectroscopy on individual fluorescent particles, in contrast to traditional methods that build up statistics over a sequence of many measurements. By rapidly scanning the focus of an excitation laser in a circular pattern, demodulating the measured fluorescence, and feeding these results back to a piezoelectric translation stage, we track the Brownian motion of fluorescent polymer microspheres in aqueous solution in the plane transverse to the laser axis. We discuss the estimation of particle diffusion statistics from closed-loop position measurements, and we present a generalized theory of fluorescence correlation spectroscopy for the case that the motion of a single fluorescent particle is actively tracked by a time-dependent laser intensity. We model the motion of a tracked particle using Ornstein-Uhlenbeck statistics, using a general theory that contains a umber of existing results as specific cases. We find good agreement between our theory and experimental results, and discuss possible future applications of these techniques to passive, single-shot, single-molecule fluorescence measurements with many orders of magnitude in time resolution.

Separation of the rotational contribution in fluorescence correlation experiments

The theory of fluorescence correlation spectroscopy is reexamined with the aim of separating the contribution of rotational diffusion. Under constant excitation, fluorescence correlation experiments are characterized by three polarizations: one of the incident beam and two of the two photon detectors. A set of experiments of different polarizations is proposed for study. From the results of the experiments the isotropic factor of the fluorescence intensity correlation functions can be determined, which is independent of the rotational motion of the sample molecule. This function can be used to represent each fluorescence intensity correlation function as the product of the isotropic and the rotational factors. The theory is illustrated by an experiment in which rotational diffusion of porcine pancreatic lipase labeled with Texas Red was observed Texas Red is a label that allows precise fluorescence correlation experiments even in the nanosecond time range.

Fluorescence correlation spectroscopy as a probe of molecular dynamics

A general theory of fluorescence correlation spectroscopy (FCS), including the effects of translational and rotational motions and chemical reactions, in ideal solutions, is given. The development is carried out explicitly for symmetric rotors of parallel transition moments and generalized to arbitrary configurations of the moments and to asymmetric rotors in the appendices. In addition, the effects of experimental geometry on the measured FCS correlation function are discussed in detail and the optimum geometries, for experiments seeking to measure different quantities, are given. We conclude with a brief discussion of signal-to-noise ratios and prospects for applications.