Anomalous protein diffusion in living cells as seen by fluorescence correlation spectroscopy

We investigate the challenges and limitations that are encountered when studying membrane protein dynamics in vivo by means of fluorescence correlation spectroscopy (FCS). Based on theoretical arguments and computer simulations, we show that, in general, the fluctuating fluorescence has a fractal dimension D(0) >or= 1.5, which is determined by the anomality alpha of the diffusional motion of the labeled particles, i.e., by the growth of their mean square displacement as (Deltax)(2) approximately t(alpha). The fractality enforces an initial power-law behavior of the autocorrelation function and related quantities for small times. Using this information, we show by FCS that Golgi resident membrane proteins move subdiffusively in the endoplasmic reticulum and the Golgi apparatus in vivo. Based on Monte Carlo simulations for FCS on curved surfaces, we can rule out that the observed anomalous diffusion is a result of the complex topology of the membrane. The apparent mobility of particles as determined by FCS, however, is shown to depend crucially on the shape of the membrane and its motion in time. Due to this fact, the hydrodynamic radius of the tracked particles can be easily overestimated by an order of magnitude.     

Probing diffusion laws within cellular membranes by Z-scan fluorescence correlation spectroscopy

The plasma membrane of various mammalian cell types is heterogeneous in structure and may contain microdomains, which can impose constraints on the lateral diffusion of its constituents. Fluorescence correlation spectroscopy (FCS) can be used to investigate the dynamic properties of the plasma membrane of living cells. Very recently, Wawrezinieck et al. (Wawrezinieck, L., H. Rigneault, D. Marguet, and P. F. Lenne. 2005. Biophys. J. 89:4029-4042) described a method to probe the nature of the lateral microheterogeneities of the membrane by varying the beam size in the FCS instrument. The dependence of the width of the autocorrelation function at half-maximum, i.e., the diffusion time, on the transverse area of the confocal volume gives information on the nature of the imposed confinement. We describe an alternative approach that yields essentially the same information, and can readily be applied on commercial FCS instruments by measuring the diffusion time and the particle number at various relative positions of the cell membrane with respect to the waist of the laser beam, i.e., by performing a Z-scan.     

Measurement of diffusion in articular cartilage using fluorescence correlation spectroscopy

Background  

Fluorescence correlation spectroscopy (FCS) provides information about translational diffusion of fluorescent molecules in tiny detection volumes at the single-molecule level. In normal states, cartilage tissue lacks vascularity, so chondrocyte metabolism depends on diffusion for molecular exchanges. The abundant extracellular matrix (ECM) of cartilage is maintained by a limited number of chondrocytes. ECM plays an important role in the regulation of chondrocyte functions. In this study, FCS was used to measure diffusion behaviors of albumin, the major protein of the intra-articular space, using normal and degenerated cartilage. Preliminary investigation of fluorescence dyes including Alexa 488, Rhodamine 6G and Rhodamine 123 was conducted to evaluate their properties in cartilage.     

Precise measurement of diffusion coefficients using scanning fluorescence correlation spectroscopy

We have implemented scanning fluorescence correlation spectroscopy (sFCS) for precise determination of diffusion coefficients of fluorescent molecules in solution. The measurement volume where the molecules are excited, and from which the fluorescence is detected, was scanned in a circle with radius comparable to its size at frequencies 0.5-2 kHz. The scan radius R, determined with high accuracy by careful calibration, provides the spatial measure required for the determination of the diffusion coefficient D, without the need to know the exact size of the measurement volume. The difficulties in the determination of the measurement volume size have limited the application of standard FCS with fixed measurement volume to relative measurements, where the diffusion coefficient is determined by comparison with a standard. We demonstrate, on examples of several common fluorescent dyes, that sFCS can be used to measure D with high precision without a need for a standard. The correct value of D can be determined in the presence of weak photobleaching, and when the measurement volume size is modified, indicating the robustness of the method. The applicability of the presented implementation of sFCS to biological systems in demonstrated on the measurement of the diffusion coefficient of eGFP in the cytoplasm of HeLa cells. With the help of simulations, we find the optimal value of the scan radius R for the experiment.     

Pleckstrin homology domain diffusion in Dictyostelium cytoplasm studied using fluorescence correlation spectroscopy

The translocation of pleckstrin homology (PH) domain-containing proteins from the cytoplasm to the plasma membrane plays an important role in the chemotaxis mechanism of Dictyostelium cells. The diffusion of three PH domain-green fluorescent protein (GFP) fusions (PH2-GFP, PH10-GFP, and PH-CRAC (cytosolic regulator of adenylyl cyclase)-GFP) in the cytoplasm of vegetative and chemotaxing Dictyostelium cells has been studied using fluorescence correlation spectroscopy to gain a better understanding of the functioning of the domains and to assess the effect of initiation of chemotaxis on these domains in the cell. PH2-GFP was homogeneously distributed in vegetative as well as chemotaxing cells, whereas PH10-GFP and PH-CRAC-GFP showed translocation to the leading edge of the chemotaxing cell. The diffusion characteristics of PH2-GFP and PH-CRAC-GFP were very similar; however, PH10-GFP exhibited slower diffusion. Photon counting histogram statistics show that this slow diffusion was not due to aggregation. Diffusion of the three PH domains was affected to similar extents by intracellular heterogeneities in vegetative as well as chemotaxing cells. From the diffusion of free cytoplasmic GFP, it was calculated that the viscosity in chemotaxing cells was 1.7 times lower than in vegetative cells. In chemotaxing cells, PH2-GFP showed increased mobility, whereas the mobilities of PH10-GFP and PH-CRAC-GFP remained unchanged.     

Fluorescence correlation spectroscopy in living cells

Fluorescence correlation spectroscopy (FCS) is an ideal analytical tool for studying concentrations, propagation, interactions and internal dynamics of molecules at nanomolar concentrations in living cells. FCS analyzes minute fluorescence-intensity fluctuations about the equilibrium of a small ensemble (<10(3)) of molecules. These fluctuations act like a 'fingerprint' of a molecular species detected when entering and leaving a femtoliter-sized optically defined observation volume created by a focused laser beam. In FCS the fluorescence fluctuations are recorded as a function of time and then statistically analyzed by autocorrelation analysis. The resulting autocorrelation curve yields a measure of self-similarity of the system after a certain time delay, and its amplitude describes the normalized variance of the fluorescence fluctuations. By fitting the curves to an appropriate physical model, this method provides precise information about a multitude of measurement parameters, including diffusion coefficients, local concentration, states of aggregation and molecular interactions. FCS operates in real time with diffraction-limited spatial and sub-microsecond temporal resolution. Assessing diverse molecular dynamics within the living cell is a challenge well met by FCS because of its single-molecule sensitivity and high dynamic resolution. For these same reasons, however, intracellular FCS measurements also harbor the large risk of collecting artifacts and thus producing erroneous data. Here we provide a step-by-step guide to the application of FCS to cellular systems, including methods for minimizing artifacts, optimizing measurement conditions and obtaining parameter values in the face of diverse and complex conditions of the living cell. A discussion of advantages and disadvantages of one-photon versus two-photon excitation for FCS is available in Supplementary Methods online.     

Anomalous diffusion of fluorescent probes inside living cell nuclei investigated by spatially-resolved fluorescence correlation spectroscopy

We have investigated spatial variations of the diffusion behavior of the green fluorescent protein mutant EGFP (F64L/S65T) and of the EGFP-beta-galactosidase fusion protein in living cells with fluorescence correlation spectroscopy. Our fluorescence correlation spectroscopy device, in connection with a precision x-y translation stage, provides submicron spatial resolution and a detection volume smaller than a femtoliter. The fluorescence fluctuations in cell lines expressing EGFP are caused by molecular diffusion as well as a possible internal and a pH-dependent external protonation process of the EGFP chromophore. The latter processes result in two apparent nonfluorescent states that have to be taken into account when evaluating the fluorescence correlation spectroscopy data. The diffusional contribution deviates from ideal behavior and depends on the position in the cell. The fluorescence correlation spectroscopy data can either be evaluated as a two component model with one fraction of the molecules undergoing free Brownian motion with a diffusion coefficient approximately five times smaller than in aqueous solution, and another fraction diffusing one or two orders of magnitude slower. This latter component is especially noticeable in the nuclei. Alternatively, we can fit the data to an anomalous diffusion model where the time dependence of the diffusion serves as a measure for the degree of obstruction, which is large especially in nuclei. Possible mechanisms for this long tail behavior include corralling, immobile obstacles, and binding with a broad distribution of binding affinities. The results are consistent with recent numerical models of the chromosome territory structure in the cell nucleus.     

Measuring diffusion in cell membranes by fluorescence correlation spectroscopy

Fluorescence Correlation Spectroscopy (FCS) can measure diffusion on the cell surface with unparalleled sensitivity. In appropriate situations, this can be the most sensitive and accurate method for measuring receptor interaction and oligomerization. Here we attempt to describe FCS in sufficient detail so that the reader is able to judge when there is a compelling reason to choose this technique, understand the basic theory behind it, construct a FCS spectrometer in the laboratory, and analyze the data to obtain a meaningful estimate of the physical parameters.     

Detection of ligand-induced CNTF receptor dimers in living cells by fluorescence cross correlation spectroscopy

Ciliary neurotrophic factor (CNTF) signals via a receptor complex consisting of the specific CNTF receptor (CNTFR) and two promiscuous signal transducers, gp130 and leukemia inhibitory factor receptor (LIFR). Whereas earlier studies suggested that the signaling complex is a hexamer, more recent analyses strongly support a tetrameric structure. However, all studies so far analyzed the stoichiometry of the CNTF receptor complex in vitro and not in the context of living cells. We generated and expressed in mammalian cells acyl carrier protein-tagged versions of both CNTF and CNTFR. After labeling CNTF and CNTFR with different dyes we analyzed their diffusion behavior at the cell surface. Fluorescence (cross) correlation spectroscopy (FCS/FCCS) measurements reveal that CNTFR diffuses with a diffusion constant of about 2 × 10^− 9 cm² s^− 1 independent of whether CNTF is bound or not. FCS and FCCS measurements detect the formation of receptor complexes containing at least two CNTFs and CNTFRs. In addition, we measured Förster-type fluorescence resonance energy transfer between two differently labeled CNTFs within a receptor complex indicating a distance of 5-7 nm between the two. These findings are not consistent with a tetrameric structure of the CNTFR complex suggesting that either hexamers and or even higher-order structures (e.g. an octamer containing two tetramers) are formed.     

Hindered diffusion in polymeric solutions studied by fluorescence correlation spectroscopy

Diffusion of molecules in the crowded and charged interior of the cell has long been of interest for understanding cellular processes. Here, we introduce a model system of hindered diffusion that includes both crowding and binding. In particular, we obtained the diffusivity of the positively charged protein, ribonuclease A (RNase), in solutions of dextrans of various charges (binding) and concentrations (crowding), as well as combinations of both, in a buffer of physiological ionic strength. Using fluorescence correlation spectroscopy, we observed that the diffusivity of RNase was unaffected by the presence of positively charged or neutral dextrans in the dilute regime but was affected by crowding at higher polymer concentrations. Conversely, protein diffusivity was significantly reduced by negatively charged dextrans, even at 0.4 μM (0.02% w/v) dextran. The diffusivity of RNase decreased with increasing concentrations of negative dextran, and the amount of bound RNase increased until it reached a plateau of ∼80% bound RNase. High salt concentrations were used to establish the electrostatic nature of the binding. Binding of RNase to the negatively charged dextrans was further confirmed by ultrafiltration.     

Lipid diffusion in planar membranes investigated by fluorescence correlation spectroscopy

Investigation of lipid lateral mobility in biological membranes and their artificial models provides information on membrane dynamics and structure; methods based on optical microscopy are very convenient for such investigations. We focus on fluorescence correlation spectroscopy (FCS), explain its principles and review its state of the art versions such as 2-focus, Z-scan or scanning FCS, which overcome most artefacts of standard FCS (especially those resulting from the need for an external calibration) making it a reliable and versatile method. FCS is also compared to single particle tracking and fluorescence photobleaching recovery and the applicability and the limitations of the methods are briefly reviewed. We discuss several key questions of lateral mobility investigation in planar lipid membranes, namely the influence which membrane and aqueous phase composition (ionic strength and sugar content), choice of a fluorescent tracer molecule, frictional coupling between the two membrane leaflets and between membrane and solid support (in the case of supported membranes) or presence of membrane inhomogeneities has on the lateral mobility of lipids. The recent FCS studies addressing those questions are reviewed and possible explanations of eventual discrepancies are mentioned.     

Microfluidity mapping using fluorescence correlation spectroscopy: a new way to investigate plasma membrane microorganization of living cells

Diffusion time distribution analysis has been employed to highlight the microfluidity fingerprint of plasma membrane of living cells. Diffusion time measurements were obtained through fluorescence correlation spectroscopy performed at the single cell level, over various eukaryotic cell lines (MCF7, LR73, KB3.1, MESSA and MDCKII). The nonsymmetric profile of the diffusion time distributions established experimentally, is discussed according to Monte Carlo simulations, which reproduce the diffusion of the fluorescent probe in heterogeneous membrane.     

Probing single-stranded DNA conformational flexibility using fluorescence spectroscopy

Single-stranded DNA (ssDNA) is an essential intermediate in various DNA metabolic processes and interacts with a large number of proteins. Due to its flexibility, the conformations of ssDNA in solution can only be described using statistical approaches, such as flexibly jointed or worm-like chain models. However, there is limited data available to assess such models quantitatively, especially for describing the flexibility of short ssDNA and RNA. To address this issue, we performed FRET studies of a series of oligodeoxythymidylates, (dT)N, over a wide range of salt concentrations and chain lengths (10 < or = N < or = 70 nucleotides), which provide systematic constraints for testing theoretical models. Unlike in mechanical studies where available ssDNA conformations are averaged out during the time it takes to perform measurements, fluorescence lifetimes may act here as an internal clock that influences fluorescence signals depending on how fast the ssDNA conformations fluctuate. A reasonably good agreement could be obtained between our data and the worm-like chain model provided that limited relaxations of the ssDNA conformations occur within the fluorescence lifetime of the donor. The persistence length thus estimated ranges from 1.5 nm in 2 M NaCl to 3 nm in 25 mM NaCl.     

Counting nucleosomes in living cells with a combination of fluorescence correlation spectroscopy and confocal imaging

Although methods for light microscopy of chromatin are well established, there are no quantitative data for nucleosome concentrations in vivo. To establish such a method we used a HeLa clone expressing the core histone H2B fused to the enhanced yellow fluorescent protein (H2B-EYFP). Quantitative gel electrophoresis and fluorescence correlation spectroscopy (FCS) of isolated oligonucleosomes show that 5% of the total H2Bs carry the fluorescent tag and an increased nucleosome repeat length of 204 bp for the fluorescent cells. In vivo, the mobility and distribution of H2B-EYFP were studied with a combination of FCS and confocal imaging. With FCS, concentration and brightness of nascent molecules were measured in the cytoplasm, while in the nucleoplasm a background of mobile fluorescent histones was determined by continuous photobleaching. Combining these results allows converting confocal fluorescence images of nuclei into calibrated nucleosome density maps. Absolute nucleosome concentrations in interphase amount up to 250 microM locally, with mean values of 140(+/-28)microM, suggesting that a condensation-controlled regulation of site accessibility takes place at length scales well below 200 nm.     

Characterizing diffusion dynamics of a membrane protein associated with nanolipoproteins using fluorescence correlation spectroscopy

Nanolipoprotein particles (NLPs) represent a unique nanometer-sized scaffold for supporting membrane proteins (MP). Characterization of their dynamic shape and association with MP in solution remains a challenge. Here, we present a rapid method of analysis by fluorescence correlation spectroscopy (FCS) to characterize bacteriorhodopsin (bR), a membrane protein capable of forming a NLP complex. By selectively labeling individual components of NLPs during cell-free synthesis, FCS enabled us to measure specific NLP diffusion times and infer size information for different NLP species. The resulting bR-loaded NLPs were shown to be dynamically discoidal in solution with a mean diameter of 7.8 nm. The insertion rate of bR in the complex was ～55% based on a fit model incorporating two separate diffusion properties to best approximate the FCS data. More importantly, based on these data, we infer that membrane protein associated NLPs are thermodynamically constrained as discs in solution, while empty NLPs appear to be less constrained and dynamically spherical.     

Probing receptor-translocator interactions in the oligopeptide ABC transporter by fluorescence correlation spectroscopy

The oligopeptide transporter Opp is a five-component ABC uptake system. The extracytoplasmic lipid-anchored substrate-binding protein (or receptor) OppA delivers peptides to an integral membrane complex OppBCDF (or translocator), where, on ATP binding and hydrolysis, translocation across the membrane takes place. OppA and OppBCDF were labeled with fluorescent probes, reconstituted into giant unilamellar vesicles, and the receptor-translocator interactions were investigated by fluorescence correlation spectroscopy. Lateral mobility of OppA was reduced on incorporation of OppBCDF into giant unilamellar vesicles, and decreased even further on the addition of peptide. Fluorescence cross-correlation measurements revealed that OppBCDF distinguished liganded from unliganded OppA, binding only the former. Addition of ATP or its nonhydrolyzable analog AMP-PNP resulted in release of OppA from OppBCDF. In vanadate-trapped “transition state” conditions, OppA also was not bound by OppBCDF. A model is presented in which ATP-binding to OppDF results in donation of peptide to OppBC and simultaneous release of OppA. ATP-hydrolysis would complete the peptide translocation and reset the transporter for another catalytic cycle. Implications in terms of a general transport mechanism for ABC importers and exporters are discussed.     

Probing lipid mobility of raft-exhibiting model membranes by fluorescence correlation spectroscopy

Confocal fluorescence microscopy and fluorescence correlation spectroscopy (FCS) have been employed to investigate the lipid spatial and dynamic organization in giant unilamellar vesicles (GUVs) prepared from ternary mixtures of dioleoyl-phosphatidylcholine/sphingomyelin/cholesterol. For a certain range of cholesterol concentration, formation of domains with raft-like properties was observed. Strikingly, the lipophilic probe 1,1'-dioctadecyl-3,3,3',3'-tetramethylindocarbocyanine perchlorate (DiI-C18) was excluded from sphingomyelin-enriched regions, where the raft marker ganglioside GM1 was localized. Cholesterol was shown to promote lipid segregation in dioleoyl-phosphatidylcholine-enriched, liquid-disordered, and sphingomyelin-enriched, liquid-ordered phases. Most importantly, the lipid mobility in sphingomyelin-enriched regions significantly increased by increasing the cholesterol concentration. These results pinpoint the key role, played by cholesterol in tuning lipid dynamics in membranes. At cholesterol concentrations >50 mol%, domains vanished and the lipid diffusion slowed down upon further addition of cholesterol. By taking the molecular diffusion coefficients as a fingerprint of membrane phase compositions, FCS is proven to evaluate domain lipid compositions. Moreover, FCS data from ternary and binary mixtures have been used to build a ternary phase diagram, which shows areas of phase coexistence, transition points, and, importantly, how lipid dynamics varies between and within phase regions.     

Anisotropic diffusion in mitral cell dendrites revealed by fluorescence correlation spectroscopy

Fluorescence correlation spectroscopy (FCS) can be used to measure kinetic properties of single molecules in drops of solution or in cells. Here we report on FCS measurements of tetramethylrhodamine (TMR)-dextran (10 kDa) in dendrites of cultured mitral cells of Xenopus laevis tadpoles. To interpret such measurements correctly, the plasma membrane as a boundary of diffusion has to be taken into account. We show that the fluorescence data recorded from dendrites are best described by a model of anisotropic diffusion. As compared to diffusion in water, diffusion of the 10-kDa TMR-dextran along the dendrite is slowed down by a factor 1.1-2.1, whereas diffusion in lateral direction is 10-100 times slower. The dense intradendritic network of microtubules oriented parallel to the dendrite is discussed as a possible basis for the observed anisotropy. In somata, diffusion was found to be isotropic in three dimensions and 1.2-2.6 times slower than in water.     

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.     

Molecular dynamics in living cells observed by fluorescence correlation spectroscopy with one- and two-photon excitation.

Multiphoton excitation (MPE) of fluorescent probes has become an attractive alternative in biological applications of laser scanning microscopy because many problems encountered in spectroscopic measurements of living tissue such as light scattering, autofluorescence, and photodamage can be reduced. The present study investigates the characteristics of two-photon excitation (2PE) in comparison with confocal one-photon excitation (1PE) for intracellular applications of fluorescence correlation spectroscopy (FCS). FCS is an attractive method of measuring molecular concentrations, mobility parameters, chemical kinetics, and fluorescence photophysics. Several FCS applications in mammalian and plant cells are outlined, to illustrate the capabilities of both 1PE and 2PE. Photophysical properties of fluorophores required for quantitative FCS in tissues are analyzed. Measurements in live cells and on cell membranes are feasible with reasonable signal-to-noise ratios, even with fluorophore concentrations as low as the single-molecule level in the sampling volume. Molecular mobilities can be measured over a wide range of characteristic time constants from approximately 10(-3) to 10(3) ms. While both excitation alternatives work well for intracellular FCS in thin preparations, 2PE can substantially improve signal quality in turbid preparations like plant cells and deep cell layers in tissue. At comparable signal levels, 2PE minimizes photobleaching in spatially restrictive cellular compartments, thereby preserving long-term signal acquisition.