Analysis of coupled bimolecular reaction kinetics and diffusion by two-color fluorescence correlation spectroscopy: enhanced resolution of kinetics by resonance energy transfer

In two-color fluorescence correlation spectroscopy (TCFCS), the fluorescence intensities of two fluorescently-labeled species are cross-correlated over time and can be used to identify static and dynamic interactions. Generally, fluorophore labels are chosen that do not undergo F?rster resonance energy transfer (FRET). Here, a general TCFCS theory is presented that accounts for the possibility of FRET between reactants in the reversible bimolecular reaction, [reaction: see text] where k(f) and k(b) are forward and reverse rate constants, respectively (dissociation constant K(d) = k(b)/k(f)). Using this theory, we systematically investigated the influence on the correlation function of FRET, reaction rates, reactant concentrations, diffusion, and component visibility. For reactants of comparable size and an energy-transfer efficiency of approximately 90%, experimentally measurable cross-correlation functions should be sensitive to reaction kinetics for K(d) > 10(-8) M and k(f) >or= approximately 10(7) M(-1)s(-1). Measured auto-correlation functions corresponding to donor and acceptor labels are generally less sensitive to reaction kinetics, although for the acceptor, this sensitivity increases as the visibility of the donor increases relative to the acceptor. In the absence of FRET or a significant hydrodynamic difference between reactant species, there is little effect of reaction kinetics on the shape of auto- and cross-correlation functions. Our results suggest that a subset of biologically relevant association-dissociation kinetics can be measured by TCFCS and that FRET can be advantageous in enhancing these effects.     

Membrane Protein Dimerization in Cell-Derived Lipid Membranes Measured by FRET with MC Simulations

Many membrane proteins are thought to function as dimers or higher oligomers, but measuring membrane protein oligomerization in lipid membranes is particularly challenging. Förster resonance energy transfer (FRET) and fluorescence cross-correlation spectroscopy are noninvasive, optical methods of choice that have been applied to the analysis of dimerization of single-spanning membrane proteins. However, the effects inherent to such two-dimensional systems, such as the excluded volume of polytopic transmembrane proteins, proximity FRET, and rotational diffusion of fluorophore dipoles, complicate interpretation of FRET data and have not been typically accounted for. Here, using FRET and fluorescence cross-correlation spectroscopy, we introduce a method to measure surface protein density and to estimate the apparent Förster radius, and we use Monte Carlo simulations of the FRET data to account for the proximity FRET effect occurring in confined two-dimensional environments. We then use FRET to analyze the dimerization of human rhomboid protease RHBDL2 in giant plasma membrane vesicles. We find no evidence for stable oligomers of RHBDL2 in giant plasma membrane vesicles of human cells even at concentrations that highly exceed endogenous expression levels. This indicates that the rhomboid transmembrane core is intrinsically monomeric. Our findings will find use in the application of FRET and fluorescence correlation spectroscopy for the analysis of oligomerization of transmembrane proteins in cell-derived lipid membranes.     

Studying slow membrane dynamics with continuous wave scanning fluorescence correlation spectroscopy

Here we discuss the application of scanning fluorescence correlation spectroscopy (SFCS) using continuous wave excitation to analyze membrane dynamics. The high count rate per molecule enables the study of very slow diffusion in model and cell membranes, as well as the application of two-foci fluorescence cross-correlation spectroscopy for parameter-free determination of diffusion constants. The combination with dual-color fluorescence cross-correlation spectroscopy with continuous or pulsed interleaved excitation allows binding studies on membranes. Reduction of photobleaching, higher reproducibility, and stability compared to traditional FCS on membranes, and the simple implementation in a commercial microscopy setup make SFCS a valuable addition to the pool of fluorescence fluctuation techniques.     

A dynamic view of cellular processes by in vivo fluorescence auto- and cross-correlation spectroscopy

Fluorescence correlation spectroscopy (FCS) is becoming increasingly popular as a technique that aims at complementing live cell images with biophysical information. This article provides both a short overview over recent intracellular FCS applications and a practical guide for investigators, who are seeking to integrate FCS into live cell imaging to obtain information on particle mobility, local concentrations, and molecular interactions. A brief introduction to the principles of FCS is provided, particularly emphasizing practical aspects such as the choice of appropriate dyes and positioning of the measurement volume in the sample. Possibilities and limitations in extracting parameters from autocorrelation curves are discussed, and attention is drawn to potential artifacts, such as photobleaching and probe aggregation. The principle of dual-color cross-correlation is reviewed along with considerations for proper setup and adjustment. Practical implications of nonideal conditions including incomplete focus overlap and spectral cross-talk are considered. Recent examples of both auto- and cross-correlation applications demonstrate the potential of FCS for cell biology.     

Equilibrium dynamics of spermine-induced plasmid DNA condensation revealed by fluorescence lifetime correlation spectroscopy

The spermine-induced DNA condensation is a first-order phase transition. Here, we apply a novel technique fluorescence lifetime correlation spectroscopy to analyze this transition in a greater detail. We show that the method allows for the observation of the condensed and uncondensed molecules simultaneously based solely on different fluorescence lifetimes of the intercalating fluorophore PicoGreen in the folded und unfolded domains of DNA. The auto- and cross-correlation functions reveal that a small fraction of the DNA molecules is involved in the dynamic intramolecular equilibrium. Careful inspection of the cross-correlation curves suggests that folding occurs gradually within milliseconds.     

Structural changes of yellow Cameleon domains observed by quantitative FRET analysis and polarized fluorescence correlation spectroscopy

Förster resonance energy transfer (FRET) is a widely used method for monitoring interactions between or within biological macromolecules conjugated with suitable donor-acceptor pairs. Donor fluorescence lifetimes in absence and presence of acceptor molecules are often measured for the observation of FRET. However, these lifetimes may originate from interacting and noninteracting molecules, which hampers quantitative interpretation of FRET data. We describe a methodology for the detection of FRET that monitors the rise time of acceptor fluorescence on donor excitation thereby detecting only those molecules undergoing FRET. The large advantage of this method, as compared to donor fluorescence quenching method used more commonly, is that the transfer rate of FRET can be determined accurately even in cases where the FRET efficiencies approach 100% yielding highly quenched donor fluorescence. Subsequently, the relative orientation between donor and acceptor chromophores is obtained from time-dependent fluorescence anisotropy measurements carried out under identical conditions of donor excitation and acceptor detection. The FRET based calcium sensor Yellow Cameleon 3.60 (YC3.60) was used because it changes its conformation on calcium binding, thereby increasing the FRET efficiency. After mapping distances and orientation angles between the FRET moieties in YC3.60, cartoon models of this FRET sensor with and without calcium could be created. Independent support for these representations came from experiments where the hydrodynamic properties of YC3.60 under ensemble and single-molecule conditions on selective excitation of the acceptor were determined. From rotational diffusion times as found by fluorescence correlation spectroscopy and consistently by fluorescence anisotropy decay analysis it could be concluded that the open structure (without calcium) is flexible as opposed to the rather rigid closed conformation. The combination of two independent methods gives consistent results and presents a rapid and specific methodology to analyze structural and dynamical changes in a protein on ligand binding.     

Exploring the Dynamics of Cell Processes through Simulations of Fluorescence Microscopy Experiments

Fluorescence correlation spectroscopy (FCS) methods are powerful tools for unveiling the dynamical organization of cells. For simple cases, such as molecules passively moving in a homogeneous media, FCS analysis yields analytical functions that can be fitted to the experimental data to recover the phenomenological rate parameters. Unfortunately, many dynamical processes in cells do not follow these simple models, and in many instances it is not possible to obtain an analytical function through a theoretical analysis of a more complex model. In such cases, experimental analysis can be combined with Monte Carlo simulations to aid in interpretation of the data. In response to this need, we developed a method called FERNET (Fluorescence Emission Recipes and Numerical routines Toolkit) based on Monte Carlo simulations and the MCell-Blender platform, which was designed to treat the reaction-diffusion problem under realistic scenarios. This method enables us to set complex geometries of the simulation space, distribute molecules among different compartments, and define interspecies reactions with selected kinetic constants, diffusion coefficients, and species brightness. We apply this method to simulate single- and multiple-point FCS, photon-counting histogram analysis, raster image correlation spectroscopy, and two-color fluorescence cross-correlation spectroscopy. We believe that this new program could be very useful for predicting and understanding the output of fluorescence microscopy experiments.     

Recent advances in fluorescence correlation spectroscopy

Fluorescence correlation spectroscopy is a method in which fluctuations in the fluorescence arising from a very small sample volume are correlated to obtain information about the processes giving rise to the fluctuations. Recent progress has been made in methodologies such as two-photon excitation, photon counting histogram analysis, cross-correlation, image correlation and evanescent excitation. Fluorescence correlation spectroscopy techniques have been applied to several biological processes, including fluorescent protein photodynamics, binding equilibria and kinetics, protein oligomerization, nucleic acid interactions, and membrane and intracellular dynamics.     

Practical guidelines for dual-color fluorescence cross-correlation spectroscopy

Dual-color fluorescence cross-correlation spectroscopy (FCCS) allows for the determination of molecular mobility and concentrations and for the quantitative analysis of molecular interactions such as binding or cleavage at very low concentrations. This protocol discusses considerations for preparing a biological system for FCCS experiments and offers practical advice for performing FCCS on a commercially available setup. Although FCCS is closely related to two-color confocal microscopy, critical adjustments and test measurements are necessary to establish successful FCCS measurements, which are described in a step-by-step manner. Moreover, we discuss control experiments for a negative cross-correlation artifact, arising from a lack of detection volume overlap, and a positive artifact, arising from cross-talk. FCCS has been applied to follow molecular interactions in solutions, on membranes and in cells and to analyze dynamic colocalization during intracellular transport. It is a technique that is expected to see new applications in various fields of biochemical and cell biological research.     

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.     

Pulsed interleaved excitation

In this article, we demonstrate the new method of pulsed interleaved excitation (PIE), which can be used to extend the capabilities of multiple-color fluorescence imaging, fluorescence cross-correlation spectroscopy (FCCS), and single-pair fluorescence resonance energy transfer (spFRET) measurements. In PIE, multiple excitation sources are interleaved such that the fluorescence emission generated from one pulse is complete before the next excitation pulse arrives. Hence, the excitation source for each detected photon is known. Typical repetition rates used for PIE are between approximately 1 and 50 MHz. PIE has many applications in various fluorescence methods. Using PIE, dual-color measurements can be performed with a single detector. In fluorescence imaging with multicolor detection, spectral cross talk can be removed, improving the contrast of the image. Using PIE with FCCS, we can eliminate spectral cross talk, making the method sensitive to weaker interactions. FCCS measurements with complexes that undergo FRET can be analyzed quantitatively. Under specific conditions, the FRET efficiency can be determined directly from the amplitude of the measured correlation functions without any calibration factors. We also show the application of PIE to spFRET measurements, where complexes that have low FRET efficiency can be distinguished from those that do not have an active acceptor.     

Single-molecule FRET of protein structure and dynamics - a primer

Single-molecule spectroscopy has developed into a widely used method for probing the structure, dynamics, and mechanisms of biomolecular systems, especially in combination with Förster resonance energy transfer (FRET). In this introductory tutorial, essential concepts and methods will be outlined, from the FRET process and the basic considerations for sample preparation and instrumentation to some key elements of data analysis and photon statistics. Different approaches for obtaining dynamic information over a wide range of timescales will be explained and illustrated with examples, including the quantitative analysis of FRET efficiency histograms, correlation spectroscopy, fluorescence trajectories, and microfluidic mixing.     

Fluorescent proteins for FRET microscopy: monitoring protein interactions in living cells

The discovery and engineering of novel fluorescent proteins (FPs) from diverse organisms is yielding fluorophores with exceptional characteristics for live-cell imaging. In particular, the development of FPs for fluorescence (or F?rster) resonance energy transfer (FRET) microscopy is providing important tools for monitoring dynamic protein interactions inside living cells. The increased interest in FRET microscopy has driven the development of many different methods to measure FRET. However, the interpretation of FRET measurements is complicated by several factors including the high fluorescence background, the potential for photoconversion artifacts and the relatively low dynamic range afforded by this technique. Here, we describe the advantages and disadvantages of four methods commonly used in FRET microscopy. We then discuss the selection of FPs for the different FRET methods, identifying the most useful FP candidates for FRET microscopy. The recent success in expanding the FP color palette offers the opportunity to explore new FRET pairs.     

Correlating calcium binding, Förster resonance energy transfer, and conformational change in the biosensor TN-XXL

Genetically encoded calcium indicators have become instrumental in imaging signaling in complex tissues and neuronal circuits in vivo. Despite their importance, structure-function relationships of these sensors often remain largely uncharacterized due to their artificial and multimodular composition. Here, we describe a combination of protein engineering and kinetic, spectroscopic, and biophysical analysis of the Förster resonance energy transfer (FRET)-based calcium biosensor TN-XXL. Using fluorescence spectroscopy of engineered tyrosines, we show that two of the four calcium binding EF-hands dominate the FRET output of TN-XXL and that local conformational changes of these hands match the kinetics of FRET change. Using small-angle x-ray scattering and NMR spectroscopy, we show that TN-XXL changes from a flexible elongated to a rigid globular shape upon binding calcium, thus resulting in FRET signal output. Furthermore, we compare calcium titrations using fluorescence lifetime spectroscopy with the ratiometric approach and investigate potential non-FRET effects that may affect the fluorophores. Thus, our data characterize the biophysics of TN-XXL in detail and may form a basis for further rational engineering of FRET-based biosensors.     

Fluorescent high-density labeling of DNA: error-free substitution for a normal nucleotide

The enzymatic incorporation of deoxyribonucleoside triphosphates by a thermostable, 3'-->5' exonuclease deficient mutant of the Tgo DNA polymerase was studied for PCR-based high-density labeling of 217-bp "natural" DNA in which fluorescent-dUTP was substituted completely for the normal dTTP. The amplified DNA carried two different sorts of tethered dye molecules. The rhodamine-green was used for internal tagging of the DNA. Since high-density incorporation of rhodamine-green-X-dUTP led to a substantial reduction (quenching) of the rhodamine-green fluorescence, a second "high" quantum yield label, Cy5, was inserted via a 5'-tagged primer in order to identify the two-color product. A theoretical concept of fluorescence auto- and cross-correlation spectroscopy developed here was applied to quantify the DNA sequence formed in terms of both the number of two-color fluorescent molecules and the number of covalently incorporated rhodamine-green-X-dUMP residues. The novel approach allowed to separate optically the specific DNA product. After complete, exonucleolytic degradation of the two-color DNA we determined 82-88 fluorescent U* labels incorporated covalently out of 92 maximum possible U* incorporations. The heavily green-labeled DNA was then isolated by preparative mobility-shift electrophoresis, re-amplified in a subsequent PCR with normal deoxyribonucleoside triphosphates, and re-sequenced. By means of this novel methodology for analyzing base-specific incorporations that was first developed here, we found that all fluorescent nucleotides and the normal nucleotides were incorporated at the correct positions. The determined labeling efficiency of 0.89-0.96 indicated that a fraction of the substrate analog was not bearing the fluorophore. The results were used to guide developments in single-molecule DNA sequencing. The labeling strategy (principal approach) for PCR-based high-density tagging of DNA, which included an appropriate thermostable DNA polymerase and a suitable fluorescent dye-dNTP, was developed here.     

Single molecule detection of DNA looping by NgoMIV restriction endonuclease

Single molecule fluorescence resonance energy transfer (FRET) and fluorescence correlation spectroscopy were used to investigate DNA looping by NgoMIV restriction endonuclease. Using a linear double-stranded DNA (dsDNA) molecule labeled with a fluorescence donor molecule, Cy3, and fluorescence acceptor molecule, Cy5, and by varying the concentration of NgoMIV endonuclease from 0 to 3 x 10(-6) M, it was possible to detect and determine diffusion properties of looped DNA/protein complexes. FRET efficiency distributions revealed a subpopulation of complexes with an energy transfer efficiency of 30%, which appeared upon addition of enzyme in the picomolar to nanomolar concentration range (using 10(-11) M dsDNA). The concentration dependence, fluorescence burst size analysis, and fluorescence correlation analysis were all consistent with this subpopulation arising from a sequence specific interaction between an individual enzyme and a DNA molecule. A 30% FRET efficiency corresponds to a distance of approximately 65 A, which correlates well with the distance between the ends of the dsDNA molecule when bound to NgoMIV according to the crystal structure of this complex. Formation of the looped complexes was also evident in measurements of the diffusion times of freely diffusing DNA molecules with and without NgoMIV. At very high protein concentrations compared to the DNA concentration, FRET and fluorescence correlation spectroscopy results revealed the formation of larger DNA/protein complexes.     

Correlation spectroscopy of minor fluorescent species: signal purification and distribution analysis

We are performing experiments that use fluorescence resonance energy transfer (FRET) and fluorescence correlation spectroscopy (FCS) to monitor the movement of an individual donor-labeled sliding clamp protein molecule along acceptor-labeled DNA. In addition to the FRET signal sought from the sliding clamp-DNA complexes, the detection channel for FRET contains undesirable signal from free sliding clamp and free DNA. When multiple fluorescent species contribute to a correlation signal, it is difficult or impossible to distinguish between contributions from individual species. As a remedy, we introduce "purified FCS", which uses single molecule burst analysis to select a species of interest and extract the correlation signal for further analysis. We show that by expanding the correlation region around a burst, the correlated signal is retained and the functional forms of FCS fitting equations remain valid. We demonstrate the use of purified FCS in experiments with DNA sliding clamps. We also introduce "single-molecule FCS", which obtains diffusion time estimates for each burst using expanded correlation regions. By monitoring the detachment of weakly-bound 30-mer DNA oligomers from a single-stranded DNA plasmid, we show that single-molecule FCS can distinguish between bursts from species that differ by a factor of 5 in diffusion constant.     

Nonequilibrium single molecule protein folding in a coaxial mixer

We have developed a continuous-flow mixing device suitable for monitoring bioconformational reactions at the single-molecule level with a response time of ∼10 ms under single-molecule flow conditions. Its coaxial geometry allows three-dimensional hydrodynamic focusing of sample fluids to diffraction-limited dimensions where diffusional mixing is rapid and efficient. The capillary-based design enables rapid in-lab construction of mixers without the need for expensive lithography-based microfabrication facilities. In-line filtering of sample fluids using granulated silica particles virtually eliminates clogging and extends the lifetime of each device to many months. In this article, to determine both the distance-to-time transfer function and the instrument response function of the device we characterize its fluid flow and mixing properties using both fluorescence cross-correlation spectroscopy velocimetry and finite element fluid dynamics simulations. We then apply the mixer to single molecule FRET protein folding studies of Chymotrypsin Inhibitor protein 2. By transiently populating the unfolded state of Chymotrypsin Inhibitor Protein 2 (CI2) under nonequilibrium in vitro refolding conditions, we spatially and temporally resolve the denaturant-dependent nonspecific collapse of the unfolded state from the barrier-limited folding transition of CI2. Our results are consistent with previous CI2 mixing results that found evidence for a heterogeneous unfolded state consisting of cis- and trans-proline conformers.