Immunoglobulin surface-binding kinetics studied by total internal reflection with fluorescence correlation spectroscopy

Fluorescence correlation spectroscopy: molecular recognition at the single molecule level

Fluorescence correlation spectroscopy (FCS) is a fluorescence microscopy technique that allows the study of molecular interactions in extremely low volumes, at nanomolar concentrations, even when binding is not accompanied by a fluorescence change. It can be applied directly in living cells. FCS clearly considerably extends the possibilities of the classical techniques used in molecular recognition studies and can be considered to belong to a growing group of techniques that allow detection at the single molecule level. In this review, several applications of FCS, both in vitro and in vivo, will be discussed.

Resolving heterogeneity on the single molecular level with the photon-counting histogram

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.

The photon counting histogram in fluorescence fluctuation spectroscopy

Fluorescence correlation spectroscopy (FCS) is generally used to obtain information about the number of fluorescent particles in a small volume and the diffusion coefficient from the autocorrelation function of the fluorescence signal. Here we demonstrate that photon counting histogram (PCH) analysis constitutes a novel tool for extracting quantities from fluorescence fluctuation data, i.e., the measured photon counts per molecule and the average number of molecules within the observation volume. The photon counting histogram of fluorescence fluctuation experiments, in which few molecules are present in the excitation volume, exhibits a super-Poissonian behavior. The additional broadening of the PCH compared to a Poisson distribution is due to fluorescence intensity fluctuations. For diffusing particles these intensity fluctuations are caused by an inhomogeneous excitation profile and the fluctuations in the number of particles in the observation volume. The quantitative relationship between the detected photon counts and the fluorescence intensity reaching the detector is given by Mandel's formula. Based on this equation and considering the fluorescence intensity distribution in the two-photon excitation volume, a theoretical expression for the PCH as a function of the number of molecules in the excitation volume is derived. For a single molecular species two parameters are sufficient to characterize the histogram completely, namely the average number of molecules within the observation volume and the detected photon counts per molecule per sampling time epsilon. The PCH for multiple molecular species, on the other hand, is generated by successively convoluting the photon counting distribution of each species with the others. The influence of the excitation profile upon the photon counting statistics for two relevant point spread functions (PSFs), the three-dimensional Gaussian PSF conventionally employed in confocal detection and the square of the Gaussian-Lorentzian PSF for two photon excitation, is explicitly treated. Measured photon counting distributions obtained with a two-photon excitation source agree, within experimental error with the theoretical PCHs calculated for the square of a Gaussian-Lorentzian beam profile. We demonstrate and discuss the influence of the average number of particles within the observation volume and the detected photon counts per molecule per sampling interval upon the super-Poissonian character of the photon counting distribution.

Image correlation spectroscopy. II. Optimization for ultrasensitive detection of preexisting platelet-derived growth factor-beta receptor oligomers on intact cells

Previously we introduced image correlation spectroscopy (ICS) as an imaging analog of fluorescence correlation spectroscopy (FCS). Implementation of ICS with image collection via a standard fluorescence confocal microscope and computer-based autocorrelation analysis was shown to facilitate measurements of absolute number densities and determination of changes in aggregation state for fluorescently labeled macromolecules. In the present work we illustrate how to use ICS to quantify the aggregation state of immunolabeled plasma membrane receptors in an intact cellular milieu, taking into account background fluorescence. We introduce methods that enable us to completely remove white noise contributions from autocorrelation measurements for individual images and illustrate how to perform background corrections for autofluorescence and nonspecific fluorescence on cell population means obtained via ICS. The utilization of photon counting confocal imaging with ICS analysis in combination with the background correction techniques outlined enabled us to achieve very low detection limits with standard immunolabeling methods on normal, nontransformed human fibroblasts (AG1523) expressing relatively low numbers of platelet-derived growth factor-beta (PDGF-beta) receptors. Specifically, we determined that the PDGF-beta receptors were preaggregated as tetramers on average with a mean surface density of 2.3 clusters micrometer(-2) after immunolabeling at 4 degreesC. These measurements, which show preclustering of PDGF-beta receptors on the surface of normal human fibroblasts, contradict a fundamental assumption of the ligand-induced dimerization model for signal transduction and provide support for an alternative model that posits signal transduction from within preexisting receptor aggregates.

Theory for ligand rebinding at cell membrane surfaces

Conditions for which a ligand reversibly bound to a cell surface dissociates and then rebinds to the surface have been theoretically examined. The coupled differential equations that describe reaction at the interface between sites on a plane and three-dimensional solution have been described previously (Thompson, N. L., T. P. Burghardt, and D. Axelrod. 1981. Biophys. J. 33:435-454). Here, we use this theoretical formalism to provide an analytical solution for the spatial and temporal dependence of the probabilities of finding a molecule on the surface or in the solution, given initial placement on the surface at the origin. This general analytical solution is used to derive a simple expression for the probability that a molecule rebinds to the surface at a given position and time after release at the origin and time zero. The probability expressions provide fundamental equations that form a basis for subsequent modeling of ligand-receptor interactions in specific geometries.

Fluorescence correlation spectroscopy: diagnostics for sparse molecules

The robust glow of molecular fluorescence renders even sparse molecules detectable and susceptible to analysis for concentration, mobility, chemistry, and photophysics. Correlation spectroscopy, a statistical-physics-based tool, gleans quantitative information from the spontaneously fluctuating fluorescence signals obtained from small molecular ensembles. This analytical power is available for studying molecules present at minuscule concentrations in liquid solutions (less than one nanomolar), or even on the surfaces of living cells at less than one macromolecule per square micrometer. Indeed, routines are becoming common to detect, locate, and examine individual molecules under favorable conditions.

Kinetic investigations by fluorescence correlation spectroscopy: the analytical and diagnostic potential of diffusion studies

This review demonstrates the large analytical and diagnostic potential of fluorescence correlation spectroscopy applied to freely diffusing biomolecules in solution. All applications discussed here in detail are based on changes in the diffusion characteristics of fluorescenctly labeled complementary strands of nucleic acids when they associate. However, the principle of the measurement can be extended to many different reactions with characteristic association times between several minutes up to several hours. If the reaction significantly affects the diffusion constants of at least one partner, single-color auto-correlation analysis is sufficient to extract kinetic parameters. If the observed binding process has only a moderate effect on diffusion coefficients, the detection selectivity and sensitivity can be improved by dual-color cross-correlation analysis. Finally, we show that diffusional analysis on the single-molecule level even opens up diagnostic applications, such as the detection of minute amounts of infectious agents like HIV-1 viruses in blood.

Fluorescence correlation analysis of probe diffusion simplifies quantitative pathogen detection by PCR

A sensitive, labor-saving, and easily automatable nonradioactive procedure named APEX-FCS (amplified probe extension detected by fluorescence correlation spectroscopy) has been established to detect specific in vitro amplification of pathogen genomic sequences. As an example, Mycobacterium tuberculosis genomic DNA was subjected to PCR amplification with the Stoffel fragment of Thermus aquaticus DNA polymerase in the presence of nanomolar concentrations of a rhodamine-labeled probe (third primer), binding to the target in between the micromolar amplification primers. The probe becomes extended only when specific amplification occurs. Its low concentration avoids false-positives due to unspecific hybridization under PCR conditions. With increasing portion of extended probe molecules, the probe's average translational diffusion properties gradually change over the course of the reaction, reflecting amplification kinetics. Following PCR, this change from a stage of high to a stage of low mobility can directly be monitored during a 30-s measurement using a fluorescence correlation spectroscopy device. Quantitation down to 10 target molecules in a background of 2.5 micrograms unspecific DNA without post-PCR probe manipulations could be achieved with different primer/ probe combinations. The assay holds the promise to concurrently perform amplification, probe hybridization, and specific detection without opening the reaction chamber, if sealable foils are used.

Optical evanescent wave methods for the study of biomolecular interactions

Implementation and regulation of the molecular mechanisms underlying biological processes is dependent on direct interactions between biological molecules. These interactions are characterised by specific binding between at least one molecule and another, and for binding to occur the molecules must be able to come close enough to each other to make contact. One of the partners in the interaction is invariably a macromolecule (e.g. protein or DNA) or an assembly of large size, such as a lipid bilayer. The interaction may take place with the partners in solution, or with at least one attached to a biological surface (e.g. a membrane) or a very large structure such as a chromosome. Where the partners are part of a membrane or other large structure then there must be a mechanism, such as lateral diffusion in the plane of the membrane, that permits them to come together close enough for interaction.

Scanning concentration correlation spectroscopy using the confocal laser microscope

Concentration correlation spectroscopy allows the assessment of molecular motions in complex systems. The technique generally monitors concentration fluctuations by means of some method such as the intensity of fluorescent molecules (fluorescence correlation spectroscopy). We describe here the use of scanning confocal laser microscopy to measure correlation functions in both space and time. This methodology offers two major advantages over conventional methods. First, collecting data from different regions of the sample significantly increases the signal-to-noise ratio. Second, molecular motions of colloidal gold can be analyzed by correlation methods with high temporal and spatial resolution. Using a MRC 600 laser scanning system, we collect data from an ensemble of 768 independent subvolumes and determine the space-time correlation function. We demonstrate the technique using two different types of samples, fluorescently labeled DNA molecules in solution and colloidal gold-tagged lipids in a planar bilayer. This approach, which we term "scanning concentration correlation spectroscopy," provides a straightforward means of performing high resolution correlation analysis of molecular motions with available instrumentation.

Total internal reflection fluorescence microscopy: application to substrate-supported planar membranes

The use of total internal reflection illumination in fluorescence microscopy (TIRFM) is reviewed with emphasis on application to fluorescent macromolecules that specifically and reversibly bind to planar model membranes supported on glass or quartz substrates. Several methods for characterizing macromolecular motion and organization are discussed: the measurement of equilibrium binding curves to obtain values for equilibrium binding constants; the measurement of fluorescence photobleaching recovery curves to obtain values of kinetic rate constants and surface diffusion coefficients; and the measurement of fluorescence intensities as a function of the evanescent field polarization to characterize orientational order. Applications to cell-substrate contact regions are summarized and future directions of TIRFM are outlined.

Measurement of mass transport and reaction parameters in bulk solution using photobleaching. Reaction limited binding regime

Fluorescence recovery after photobleaching (FRAP) has been used previously to investigate the kinetics of binding to biological surfaces. The present study adapts and further develops this technique for the quantification of mass transport and reaction parameters in bulk media. The technique's ability to obtain the bulk diffusion coefficient, concentration of binding sites, and equilibrium binding constant for ligand/receptor interactions in the reaction limited binding regime is assessed using the B72.3/TAG-72 monoclonal antibody/tumor associated antigen interaction as a model in vitro system. Measurements were independently verified using fluorometry. The bulk diffusion coefficient, concentration of binding sites and equilibrium binding constant for the system investigated were 6.1 +/- 1.1 x 10(-7) cm2/s, 4.4 +/- 0.6 x 10(-7) M, and 2.5 +/- 1.6 x 10(7) M-1, respectively. Model robustness and the applicability of the technique for in vivo quantification of mass transport and reaction parameters are addressed. With a suitable animal model, it is believed that this technique is capable of quantifying mass transport and reaction parameters in vivo.

Binding of a monoclonal antibody and its Fab fragment to supported phospholipid monolayers measured by total internal reflection fluorescence microscopy

The association of an anti-dinitrophenyl monoclonal antibody and its Fab fragment with supported phospholipid monolayers composed of a mixture of dipalmitoylphosphatidylcholine and dinitrophenyl-conjugated dipalmitoylphosphatidylethanolamine has been characterized with total internal reflection fluorescence microscopy. The surface densities of bound antibodies were measured as a function of the antibody and Fab solution concentrations, and as a function of the solution concentration of dinitrophenylglycine. The apparent association constant of Fab fragments with surface-associated haptens was approximately 10-fold lower than the association constant for haptens in solution, and the apparent surface association constant for intact antibodies was only approximately 10-fold higher than the constant for Fab fragments. Data analysis with simple theoretical models indicated that, at most antibody surface densities, 50-90% of membrane-associated intact antibodies were attached to the surface by two antigen binding sites.

Quantification of transport and binding parameters using fluorescence recovery after photobleaching. Potential for in vivo applications

Fluorescence Recovery After Photobleaching (FRAP) has been used extensively in the study of transport and binding in biological media in vitro. The present study adapts and further develops FRAP so that it may be utilized for the in vivo quantification of binding parameters. The technique is validated in vitro by measuring mass transport and binding parameters for the Concanavalin A/Mannose binding system (a diffusion-limited system). The pseudo-equilibrium constant (the product of the equilibrium constant and the total concentration of binding sites) for this system was determined to be 26 +/- 15 which compares favorably with literature values ranging between 16 and 32. The applicability of this technique to measure parameters for monoclonal antibody/antigen interactions in a thin tissue preparation such as the rabbit ear chamber tissue preparation is also examined. Unlike other methods for measuring binding parameters, this is the only technique which has the potential to measure parameters relevant to antibody delivery in vivo. The proposed technique is noninvasive and does not require a priori knowledge of, independent measurement of, or variation in the concentration of binding sites or total concentration of binding species.

Interaction of antibodies with Fc receptors in substrate-supported planar membranes measured by total internal reflection fluorescence microscopy

A procedure for constructing substrate-supported planar membranes using membrane fragments isolated from the macrophage-related cell line J774A.1 is described. Total internal reflection (TIR) fluorescence microscopy is employed to demonstrate that fluorescently labeled Fab fragments of a monoclonal antibody (2.4G2) with specificity for a murine macrophage cell-surface receptor for IgG (moFc gamma RII) bind to the planar model membranes. These measurements show that the planar membranes contain moFc gamma RII and yield a value for the association constant of 2.4G2 Fab fragments with moFc gamma RII equal to (9.6 +/- 0.4) x 10(8) M-1 and indicate that the surface density of reconstituted moFc gamma RII is approximately 50 molecules/microns 2. In addition, TIR fluorescence microscopy is used to investigate the Fc-mediated competition of unlabeled, polyclonal murine IgG with labeled 2.4G2 Fab fragments for moFc gamma RII in the planar membranes. These measurements indicate that the reconstituted moFc gamma RII recognized by 2.4G2 Fab fragments also retains the ability to bind murine IgG Fc regions and yield a value for the association constant of polyclonal murine IgG with moFc gamma RII equal to (1-5) x 10(5) M-1. This work represents one of the first applications of TIR fluorescence microscopy to specific ligand-receptor interactions.

Immunoassay based on surface plasmon oscillations

An in situ immunoassay technique is described which is sensitive to specific binding to surface immobile antigen or antibody. The phenomena of surface plasmon oscillations are shown to be sensitive to antigen-antibody binding on a substrate. An advantage of the technique is that no molecular labeling is required. The technique allows the detection of the presence of approximately 6 X 10(8) molecules on the approximately 1 mm2 area of detection (approximately 1.5 X 10(-8) g/cm2). An elementary apparatus is described which allows the kinetics of the antigen-antibody binding to be accurately recorded in real time. A detailed example is presented. A second version of the apparatus of similar accuracy with improved temporal resolution is described.

Fluorescence correlation spectroscopy for detecting submicroscopic clusters of fluorescent molecules in membranes

The formation of cell surface receptor clusters has been implicated or confirmed in the mechanism of signal transduction across biological membranes for a variety of processes, including receptor-mediated phagocytosis and endocytosis and cellular response to hormones and neurotransmitters. Fluorescence correlation spectroscopy (FCS) is one technique that may provide insight into the kinetics and extent of receptor aggregation. Recent theoretical and experimental developments in FCS for the investigation of submicroscopic clusters of fluorescent molecules are described and the potential applications of the technique to receptor aggregation are reviewed.

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.

Theory of sample translation in fluorescence correlation spectroscopy

New applications of the technique of fluorescence correlation spectroscopy (FCS) require lateral translation of the sample through a focused laser beam (Peterson, N.O., D.C. Johnson, and M.J. Schlesinger, 1986, Biophys. J., 49:817-820). Here, the effect of sample translation on the shape of the FCS autocorrelation function is examined in general. It is found that if the lateral diffusion coefficients of the fluorescent species obey certain conditions, then the FCS autocorrelation function is a simple product of one function that depends only on transport coefficients and another function that depends only on the rate constants of chemical reactions that occur in the sample. This simple form should allow manageable data analyses in new FCS experiments that involve sample translation.

Direct immunochemical sensing: basic chemical principles and fundamental limitations

Models describing the binding of antigens to surface immobilised antibodies have been developed. These models are applied to the assessment of the likely analytical utility of direct immunochemical sensors employing immobilised antibody layers. Fundamental limitations to the device response arising from the equilibrium and kinetic characteristics of the binding reaction and from mass transport constraints imply that measurement over the micromolar to nanomolar concentration range may be practical.

Total internal reflection fluorescence. Measurement of spatial and orientational distributions of fluorophores near planar dielectric interfaces

The fluorescence collected from a fluorophore which is near a planar interface and is excited by a laser beam that is totally internally reflected at the interface depends on the direction of the absorption and emission transition dipole moments of the fluorophore with respect to the interface, on the distance from the fluorophore to the interface, on the angle of incidence and polarization direction of the exciting beam, and on properties of the collection optics. Expressions are derived for the excitation and subsequent emission and collection of fluorescence from a population of fluorophores near a planar interface. Presented is a general model-independent method of obtaining characteristic parameters of the spatial and orientational distribution of the population of fluorophores, from a measure of the fluorescence collected as a function of the polarization and the incidence angle of the totally internally reflected laser beam. The method is illustrated with several simulation calculations.

Opto-electronic immunosensors: a review of optical immunoassay at continuous surfaces

Optical techniques for monitoring immunological reactions on continuous surfaces are reviewed. Initially Langmuir-Blodgett film techniques and ellipsometry are discussed, followed by internal reflection spectroscopy (IRS) systems. The latter includes attenuated total reflection (ATR) and total internal reflection fluorescence (TIRF). Finally, light scattering and surface plasmon resonance methods are presented. Overall, it was considered that the IRS systems and ellipsometric approaches offered the most promise for the design of a specific immunosensor device. Of these two, the ellipsometric methods are the most sensitive but also the most vulnerable to non-specific signal interference. Although lacking in extreme sensitivity, the IRS approaches reviewed were more specific in signal generation and were considered to have considerable potential for the future.

Effect of planar dielectric interfaces on fluorescence emission and detection. Evanescent excitation with high-aperture collection

We consider the effect of planar dielectric interfaces (e.g., solid/liquid) on the fluorescence emission of nearby probes. First, we derive an integral expression for the electric field radiated by an oscillating electric dipole when it is close to a dielectric interface. The electric field depends on the refractive indices of the interface, the orientation of the dipole, the distance from the dipole to the interface, and the position of observation. We numerically calculate the electric field intensity for a dipole on an interface, as a function of observation position. These results are applicable to fluorescent molecules excited by the evanescent field of a totally internally reflected laser beam and thus very close to a solid/liquid interface. Next, we derive an integral expression for the electric field radiated when a second dielectric interface is also close to the fluorescent molecule. We numerically calculate this intensity as observed through the second interface. These results are useful when the fluorescence is collected by a high-aperture microscope objective. Finally, we define and calculate a "dichroic factor," which describes the efficiency of collection, in the two-interface system, of polarized fluorescence. The limit when the first interface is removed is applicable for any high-aperture collection of polarized or unpolarized fluorescence. The limit when the second interface is removed has application in the collection of fluorescence with any aperture from molecules close to a dielectric interface. The results of this paper are required for the interpretation of order parameter measurements on fluorescent probes in supported phospholipid monolayers (Thompson, N.L., H. M. McConnell, and T. P. Burghardt, 1984, Biophys. J., 46:739-747).

Order in supported phospholipid monolayers detected by the dichroism of fluorescence excited with polarized evanescent illumination

A technique is described and demonstrated for measuring the orientation distribution of fluorescent molecules in a two-dimensional system. A laser beam is totally internally reflected at the interface between a glass slide and an aqueous solution, which creates a thin layer of evanescent illumination that excites fluorescent molecules near the interface. Molecules with absorption dipoles at different tilts from the normal to the interface are preferentially excited when the laser polarization is rotated. Approximately one-half of the emitted fluorescence is collected with an inverted microscope using a high-aperture objective. The fluorescence vs. polarization curve yields the value of an order parameter that is related to the orientation distribution of absorption dipoles. This technique is applied to phospholipid monolayers made at an air/water interface and transferred to hydrophobic glass microscope slides. Dipalmitoylphosphatidylcholine monolayers were doped with 2 mol% phosphatidylethanolamine labeled with the fluorescent moiety nitrobenzoxadiazole, either on an acyl chain or on the head group. The measured value of the order parameter for the head-labeled probe decreases as a function of the surface pressure at which the monolayer is transferred to the slide, as the surface pressure increases from 10 to 40 dyne/cm. The measured value of the order parameter for the chain-labeled probe is high for all coating pressures. These results can be interpreted in terms of probe partitioning into coexistent fluid and solid domains. Dimyristoylphosphatidylcholine monolayers were doped with 2 mol% chain-labeled phosphatidylethanolamine, either free or covalently conjugated to a small peptide. In these monolayers, the measured value of the order parameter is high at all pressures. The technique presented here may also prove useful for measuring the orientation distribution of proteins bound to or embedded in a planar model membrane.