Total internal reflection with fluorescence correlation spectroscopy: nonfluorescent competitors

Total internal reflection with fluorescence correlation spectroscopy is a method for measuring the surface association/dissociation rate constants and absolute densities of fluorescent molecules at the interface of a planar substrate and solution. This method can also report the apparent diffusion coefficient and absolute concentration of fluorescent molecules very close to the surface. Theoretical expressions for the fluorescence fluctuation autocorrelation function when both surface association/dissociation kinetics and diffusion through the evanescent wave, in solution, contribute to the fluorescence fluctuations have been published previously. In the work described here, the nature of the autocorrelation function when both surface association/dissociation kinetics and diffusion through the evanescent wave contribute to the fluorescence fluctuations, and when fluorescent and nonfluorescent molecules compete for surface binding sites, is described. The autocorrelation function depends in general on the kinetic association and dissociation rate constants of the fluorescent and nonfluorescent molecules, the surface site density, the concentrations of fluorescent and nonfluorescent molecules in solution, the solution diffusion coefficients of the two chemical species, the depth of the evanescent field, and the size of the observed area on the surface. Both general and approximate expressions are presented.     

Ligand-receptor kinetics measured by total internal reflection with fluorescence correlation spectroscopy

Total internal reflection excitation used in combination with fluorescence correlation spectroscopy (TIR-FCS) is a method for characterizing the dynamic behavior and absolute concentrations of fluorescent molecules near or at the interface of a planar substrate and a solution. In this work, we demonstrate for the first time the use of TIR-FCS for examining the interaction kinetics of fluorescent ligands in solution which specifically and reversibly associate with receptors in substrate-supported planar membranes. Fluorescence fluctuation autocorrelation functions were obtained for a fluorescently labeled IgG reversibly associating with the mouse receptor FcgammaRII, which was purified and reconstituted into substrate-supported planar membranes. Data were obtained as a function of the IgG solution concentration, the Fc receptor surface density, the observation area size, and the incident intensity. Best fits of the autocorrelation functions to appropriate theoretical forms gave measures of the average surface density of bound IgG, the local solution concentration of IgG, the kinetic rate constant for surface dissociation, and the rate of diffusion through the depth of the evanescent field. The average number of observed fluorescent molecules, both in solution and bound to the surface, scaled with the solution concentration of IgG, observation area size, and Fc receptor surface density as expected. The dissociation rate constant and rate of diffusion through the evanescent field agree with previous results, and all measured parameters were independent of the incident intensity.     

Total internal reflection with fluorescence correlation spectroscopy

Total internal reflection-fluorescence correlation spectroscopy (TIR-FCS) is an emerging technique that is used to measure events at or near an interface, including local fluorophore concentrations, local translational mobilities and the kinetic rate constants that describe the association and dissociation of fluorophores at the interface. TIR-FCS is also an extremely promising method for studying dynamics at or near the basal membranes of living cells. This protocol gives a general overview of the steps necessary to construct and test a TIR-FCS system using either through-prism or through-objective internal reflection geometry adapted for FCS. The expected forms of the autocorrelation function are discussed for the cases in which fluorescent molecules in solution diffuse through the depth of the evanescent field, but do not bind to the surface of interest, and in which reversible binding to the surface also occurs.     

Lateral mobility of membrane-binding proteins in living cells measured by total internal reflection fluorescence correlation spectroscopy

Total internal reflection fluorescence correlation spectroscopy (TIR-FCS) allows us to measure diffusion constants and the number of fluorescent molecules in a small area of an evanescent field generated on the objective of a microscope. The application of TIR-FCS makes possible the characterization of reversible association and dissociation rates between fluorescent ligands and their receptors in supported phospholipid bilayers. Here, for the first time, we extend TIR-FCS to a cellular application for measuring the lateral diffusion of a membrane-binding fluorescent protein, farnesylated EGFP, on the plasma membranes of cultured HeLa and COS7 cells. We detected two kinds of diffusional motion-fast three-dimensional diffusion (D(1)) and much slower two-dimensional diffusion (D(2)), simultaneously. Conventional FCS and single-molecule tracking confirmed that D(1) was free diffusion of farnesylated EGFP close to the plasma membrane in cytosol and D(2) was lateral diffusion in the plasma membrane. These results suggest that TIR-FCS is a powerful technique to monitor movement of membrane-localized molecules and membrane dynamics in living cells.     

On the statistics of fluorescence correlation spectroscopy

I present a detailed statistical analysis of fluorescence correlation spectroscopy (FCS) which is a natural extension of an early work. This analysis more realistically takes account of the following issues. (1) A spatial Gaussian laser excitation of fluorescence, (2) the effect of a small number of fluorescent molecules in the observation volume, (3) the shot noise effect due to random emission of fluorescent photons, and (4) a hyperbolic form for the fluorescence autocorrelation function obtained in the case of diffusion. Based on these assumptions, the results differ from the earlier work in several respects, in particular, the dependence of the signal-to-noise ratio on sample concentration and the understanding of shot noise in fluorescence fluctuation moments.     

Measuring surface dynamics of biomolecules by total internal reflection fluorescence with photobleaching recovery or correlation spectroscopy.

The theoretical basis of a new technique for measuring equilibrium adsorption/desorption kinetics and surface diffusion of fluorescent-labeled solute molecules at solid surfaces has been developed. The technique combines total internal reflection fluorescence (TIR) with either fluorescence photobleaching recovery (FPR) or fluorescence correlation spectroscopy (FCS). A laser beam totally internally reflects at a solid/liquid interface; the shallow evanescent field in the liquid excites the fluorescence of surface adsorbed molecules. In TIR/FPR, adsorbed molecules are bleaching by a flash of the focused laser beam; subsequent fluorescence recovery is monitored as bleached molecules exchange with unbleached ones from the solution or surrounding nonilluminated regions of the surface. In TIR/FCS, spontaneous fluorescence fluctuations due to individual molecules entering and leaving a well-defined portion of the evanescent field are autocorrelated. Under appropriate experimental conditions, the rate constants and surface diffusion coefficient can be readily obtained from the TIR/FPR and TIR/FCS curves. In general, the shape of the theoretical TIR/FPR and TIR/FCS curves depends in a complex manner upon the bulk and surface diffusion coefficients, the size of the iluminated or observed region, and the adsorption/desorption/kinetic rate constants. The theory can be applied both to specific binding between immobilized receptors and soluble ligands, and to nonspecific adsorption processes. A discussion of experimental considerations and the application of this technique to the adsorption of serum proteins on quartz may be found in the accompanying paper (Burghardt and Axelrod. 1981. Biophys. J. 33:455).     

Total internal reflection fluorescence correlation spectroscopy: effects of lateral diffusion and surface-generated fluorescence

Fluorescence correlation spectroscopy with total internal reflection excitation (TIR-FCS) is a promising method with emerging biological applications for measuring binding dynamics of fluorescent molecules to a planar substrate as well as diffusion coefficients and concentrations at the interface. Models for correlation functions proposed so far are rather approximate for most conditions, since they neglect lateral diffusion of fluorophores. Here we propose accurate extensions of previously published models for axial correlation functions taking into account lateral diffusion through detection profiles realized in typical experiments. In addition, we consider the effects of surface-generated emission in objective-based TIR-FCS. The expressions for correlation functions presented here will facilitate quantitative and accurate measurements with TIR-FCS.     

Translational diffusion of bovine prothrombin fragment 1 weakly bound to supported planar membranes: measurement by total internal reflection with fluorescence pattern photobleaching recovery.

Previous work has shown that bovine prothrombin fragment 1 binds to substrate-supported planar membranes composed of phosphatidylcholine (PC) and phosphatidylserine (PS) in a Ca(2+)-specific manner. The apparent equilibrium dissociation constant is 1-15 microM, and the average membrane residency time is approximately 0.25 s-1. In the present work, fluorescence pattern photobleaching recovery with evanescent interference patterns (TIR-FPPR) has been used to measure the translational diffusion coefficients of the weakly bound fragment 1. The results show that the translational diffusion coefficients on fluid-like PS/PC planar membranes are on the order of 10(-9) cm2/s and are reduced when the fragment 1 surface density is increased. Control measurements were carried out for fragment 1 on solid-like PS/PC planar membranes. The dissociation kinetics were similar to those on fluid-like membranes, but protein translational mobility was not detected. TIR-FPPR was also used to measure the diffusion coefficient of the fluorescent lipid NBD-PC in fluid-like PS/PC planar membranes. In these measurements, the diffusion coefficient was approximately 10(-8) cm2/s, which is consistent with that measured by conventional fluorescence pattern photobleaching recovery. This work represents the first measurement of a translational diffusion coefficient for a protein weakly bound to a membrane surface.     

Molecular aggregation characterized by high order autocorrelation in fluorescence correlation spectroscopy.

The use of high order autocorrelation in fluorescence correlation spectroscopy for investigating aggregation in a sample that contains fluorescent molecules is described. Theoretical expressions for the fluorescence fluctuation autocorrelation functions defined by gm,n(tau) = [(delta fm(t + tau)delta fm(t] - (delta Fm(t] (delta Fn(t]]/(F)m+n, where delta F(t) is the fluorescence fluctuation at time t, (F) is the average fluorescence, and m and n are integers less than or equal to 3, are derived. Methods for determining the number densities and relative fluorescence yields of aggregates of different sizes from a series of Gm,n(0) values are outlined. The method is applied to 1,1'-dioctadecyl-3,3,3',3'-tetramethylindocarbocyanine perchlorate suspended in solutions of water and ethyl alcohol. The technique presented may prove useful in detecting and characterizing aggregates of fluorescent-labeled biological molecules such as cell surface receptors.     

Motion of myosin fragments during actin-activated ATPase: fluorescence correlation spectroscopy study.

The rates of the translational motion of myosin fragments, heavy meromyosin (HMM), and heavy meromyosin subfragment-1 (HMM S-1) were measured during actin-activated ATPase reaction by the method of fluorescence correlation spectroscopy. This technique monitors the random fluctuations in the concentration of fluorescent molecules in an open volume which result from the translational diffusion of the molecular species under observation. The statistical behavior of the fluctuations is represented in the form of the autocorrelation function, which is related to the translational diffusion coefficient of the fluorescent molecules. The translational motion of fluorescently labeled myosin fragments was progressively slowed down after additions of increasing amounts of actin in the presence of excess MgATP. When these results are interpreted according to a simple binding scheme, the extent of the retardation can be used to obtain the apparent association constant for binding of S-1 and HMM to actin in the presence of MgATP. In 0.1M KCl and at 23°C, the apparent association constants were determined as K_app^HMM = 2.2 × 10⁴M^?1 and K_app^S-1 = 8.8 × 10³ for HMM and S-1, respectively.     

Fluorescence Correlation Spectroscopy Measures Molecular Transport in Cells

Fluorescence correlation spectroscopy (FCS) can measure dynamics of fluorescent molecules in cells. FCS measures the fluctuations in the number of fluorescent molecules in a small volume illuminated by a thin beam of excitation light. These fluctuations are processed statistically to yield an autocorrelation function from which rates of diffusion, convection, chemical reaction, and other processes can be extracted. The advantages of this approach include the ability to measure the mobility of a very small number of molecules, even down to the single molecule level, over a wide range of rates in very small regions of a cell. In addition to rates of diffusion and convection, FCS also provides unique information about the local concentration, states of aggregation and molecular interaction using fluctuation amplitude and cross-correlation methods. Recent advances in technology have rendered these once difficult measurements accessible to routine use in cell biology and biochemistry. This review provides a summary of the FCS method and describes current areas in which the FCS approach is being extended beyond its original scope.     

Dual-color fluorescence cross-correlation spectroscopy for multicomponent diffusional analysis in solution.

The present paper describes a new experimental scheme for following diffusion and chemical reaction systems of fluorescently labeled molecules in the nanomolar concentration range by fluorescence correlation analysis. In the dual-color fluorescence cross-correlation spectroscopy provided here, the concentration and diffusion characteristics of two fluorescent species in solution as well as their reaction product can be followed in parallel. By using two differently labeled reaction partners, the selectivity to investigate the temporal evolution of reaction product is significantly increased compared to ordinary one-color fluorescence autocorrelation systems. Here we develop the theoretical and experimental basis for carrying out measurements in a confocal dual-beam fluorescence correlation spectroscopy setup and discuss conditions that are favorable for cross-correlation analysis. The measurement principle is explained for carrying out DNA-DNA renaturation kinetics with two differently labeled complementary strands. The concentration of the reaction product can be directly determined from the cross-correlation amplitude.     

Total internal reflection/fluorescence photobleaching recovery study of serum albumin adsorption dynamics.

The total internal reflection/fluorescence photobleaching recovery (TIR/FPR) technique (Thompson et al. 1981. Biophys. J. 33:435) is used to study adsorbed bovine serum albumin dynamics at a quartz glass/aqueous buffer interface. Adsorbed fluorescent labeled protein is bleached by a brief flash of the evanescent wave of a focused totally internally reflected laser beam. The rates of adsorption/desorption and surface diffusion determine the subsequent fluorescence recovery. The protein surface concentration is low enough to be proportional to the observed fluorescence and high enough to insure that the observed recovery rates arise mainly from adsorbed rather than bulk protein dynamics. The photobleaching recovery curves for rhodamine-labeled bovine serum albumin reveal both an irreversibly bound state and a multiplicity of reversibly bound states. The relative amount of reversible to irreversible adsorption increases with increasing bulk protein concentration. Since the adsorbed protein concentration appears to be too high to pack into a homogeneous surface monolayer, the wide range of desorption rates possibly results from multiple layers of protein on the surface. Comparison of the fluorescence recovery curves obtained with various focused laser beam widths suggests that some of the reversibly bound bovine serum albumin molecules can surface diffuse. Aside from their relevance to the surface chemistry of blood, these results demonstrate the feasibility of the TIR/FPR technique for measuring molecular dynamics on solid surfaces.     

New approaches for the analysis of molecular recognition using the IAsys evanescent wave biosensor

Trends in the analysis of molecular recognition using the IAsys evanescent wave biosensor are outlined. Diversification of sensor surface chemistry, an open cuvette format and the advent of robotics controlled by intelligent software are widening the range and throughput of applications. Analyses of binding and dissociation are now carried out across a wide spectrum of biomolecules, including protein, nucleic acid, carbohydrate and lipid. Determinations are obtained from a range of experimental formats. These include qualitative 'yes/no' screening assays, through semi quantitative ranking of kinetic association, dissociation and equilibrium constants for a family of binding partners, to deriving constants comparable with those which would be obtained in free solution. A dependence of the initial rate of biomolecular association on concentration allows analyte concentration to be measured--an increasingly common application class. This is often employed in situations where a rapid determination is required The ability to recover bound analyte from the sensor surface in sufficient amounts for subsequent characterization is opening up new routes to the parallel analysis of structure and function.     

High-pressure fluorescence correlation spectroscopy

We demonstrate that a novel high-pressure cell is suitable for fluorescence correlation spectroscopy (FCS). The pressure cell consists of a single fused silica microcapillary. The cylindrical shape of the capillary leads to refraction of the excitation light, which affects the point spread function of the system. We characterize the influence of these beam distortions by FCS and photon-counting histogram (PCH) analysis and identify the optimal position for fluorescence fluctuation experiments in the capillary. At this position within the capillary, FCS and photon-counting histogram experiments are described by the same equations as used in standard FCS experiments. We report the first experimental realization of fluorescence fluctuation spectroscopy under high pressure. A fluorescent dye was used as a model system for evaluating the properties of the capillary under pressure. The autocorrelation function and the photon count distribution were measured in the pressure range from 0 to 300 MPa. The fluctuation amplitude and the diffusion coefficient show a small pressure dependence. The changes of these parameters, which are on the order of 10%, are due to the pressure changes of the viscosity and the density of the aqueous medium.     

荧光相关谱测量技术研究

荧光相关谱(fluorescence correlation spectroscopy,FCS)是对处于热平衡态条件下的荧光分子发出的荧光强度涨落进行时间相关处理的一种单分子检测方法,能够直接测量分子在溶液里的扩散系数和浓度.影响FCS测量扩散系数准确性的因素有分子量子效率,测量时间,样本折射率和温度偏差等.用FCS分别测量溶有荧光染料罗丹明6G(rhodamine 6G,Rh.6G)和青色素Cy5甘油水溶液的粘滞系数,实验结果表明:荧光分子的量子效率是影响测量准确性的重要因素,要求其每秒发射的光子数目(photon counts per second,cps)至少达到1 000(photons/s).     

Intracellular fluorescent probe concentrations by confocal microscopy.

A general method is described that takes advantage of the optical sectioning properties of a confocal microscope to enable measurement of both absolute and relative concentrations of fluorescent molecules inside cells. For compartments within cells that are substantially larger than the point spread function, the fluorescence intensity is simply proportional to the concentration of the fluorophore. For small compartments, the fluorescence intensity is diluted by contributions from regions outside the compartment. Corrections for this dilution can be estimated via calibrations that are based on the intensity distribution found in a computationally synthesized model for a cell or organelle that has been blurred by convolution with the microscope point spread function. The method is illustrated with four test cases: estimation of intracellular concentration of a fluorescent calcium indicator; estimation of the relative distribution between the neurite and soma of a neuronal cell of the InsP3 receptor on the endoplasmic reticulum; estimation of the distribution of the bradykinin receptor along the surface of a neuronal cell; and relative distribution of a potentiometric dye between the mitochondria and cytosol as a means of assaying mitochondrial membrane potential.     

Monitoring of in vitro and in vivo translation of green fluorescent protein and its fusion proteins by fluorescence correlation spectroscopy

BACKGROUND: Because the process of protein translation is an event of sparse molecules, the measurement requires high sensitivity. One of the candidates for studying the molecules is fluorescence correlation spectroscopy (FCS), which gleans quantitative information from fluctuating fluorescence signals in a diluted solution. METHODS: Using FCS, the translation products of expression plasmid for green fluorescent protein (GFP) and its fusion proteins were measured in vitro and in vivo. RESULTS: In in vitro translation, the number of products increased linearly for 90 min upon concentration of the plasmid. The autocorrelation function for GFP was fitted with a one-component model with a diffusion time of 0.18 ms, which was identical to the value expected from the molecular weight. In the cases of GFP- tagged hypoxia-inducible factor-1 alpha and glucocorticoid receptor, each fitting result was significantly improved with a two-component model. The slow component with a diffusion time of 6 ms appeared to be related to the ribosome or polysome. In response to the addition of dexamethasone, the nuclear translocation from cytosol clearly induced the decrease in number of molecules in the focal point. CONCLUSIONS: FCS permits monitoring of the number of molecules translated in vitro and in vivo, the translation rate, and the molecular weight.     

Brownian dynamics simulations of fluorescence fluctuation spectroscopy

We have developed a program for the simulation of the fluorescence fluctuations as detected from highly diluted samples of (bio)molecules. The model is applied to translational diffusion and takes into account the hydrodynamic interactions. The solution concentration is kept constant by assuming periodic boundary conditions and spans here the range 0.5< C < 10 nM. We show that the fluorescence correlation functions can be accurately computed on systems of limited size (a few molecules per simulation box) by simulating for a total time approximately 100-300 times the diffusion relaxation time of the fluorescence autocorrelation function. The model is applied also to the simulation of the scanning fluorescence correlation spectroscopy (FCS) and of the photon counting histograms for the confocal collection configuration. Scanning FCS simulations of highly diluted samples (C approximately equals 0.5 nM) show anticorrelation effects in the autocorrelation functions of the fluorescence signal that are less evident for higher concentrations. We suggest here that this effect may be due to the non-uniform occupancy of the scanning area by the fluorophores.     

Direct Observation and Quantitative Analysis of Lck Exchange between Plasma Membrane and Cytosol in Living T Cells

Palmitoylation represents a common motif for anchorage of cytosolic proteins to the plasma membrane. Being reversible, it allows for controlled exchange between cytosolic and plasma membrane-bound subpopulations. In this study, we present a live cell single molecule approach for quantifying the exchange kinetics of plasma membrane and cytosolic populations of fluorescently labeled Lck, the key Src family kinase involved in early T cell signaling. Total internal reflection (TIR) fluorescence microscopy was employed for confining the analysis to membrane-proximal molecules. Upon photobleaching Lck-YFP in TIR configuration, fluorescence recovery proceeds first via the cytosol outside of the evanescent field, so that in the early phase fluorescence signal arises predominantly from membrane-proximal cytosolic Lck. The diffusion constant of each molecule allowed us to distinguish whether the molecule has already associated with the plasma membrane or was still freely diffusing in the cytosol. From the number of molecules that inserted during the recovery time we quantified the insertion kinetics: on average, membrane-proximal molecules within the evanescent field needed ∼400 ms to be inserted. The average lifetime of Lck in the plasma membrane was estimated at 50 s; together with the mobility of 0.26 μm²/s this provides sufficient time to explore the surface of the whole T cell before dissociation into the cytosol. Experiments on palmitoylation-deficient Lck mutants yielded similar on-rates, but substantially increased off-rates. We discuss our findings based on a model for the plasma membrane association and dissociation kinetics of Lck, which accounts for reversible palmitoylation on cysteine 3 and 5.