Lateral diffusion coefficients in membranes measured by resonance energy transfer and a new algorithm for diffusion in two dimensions

We describe measurements of lateral diffusion in membranes using resonance energy transfer. The donor was a rhenium (Re) metal-ligand complex lipid, which displays a donor decay time near 3 micros. The long donor lifetime resulted in an ability to measure lateral diffusion coefficient below 10(-8) cm(2)/s. The donor decay data were analyzed using a new numerical algorithm for calculation of resonance energy transfer for donors and acceptors randomly distributed in two dimensions. An analytical solution to the diffusion equation in two dimensions is not known, so the equation was solved by the relaxation method in Laplace space. This algorithm allows the donor decay in the absence of energy transfer to be multiexponential. The simulations show that mutual lateral diffusion coefficients of the donor and acceptor on the order of 10(-8) cm(2)/s are readily recovered from the frequency-domain data with donor decay times on the microsecond timescale. Importantly, the lateral diffusion coefficients and acceptor concentrations can be recovered independently despite correlation between these parameters. This algorithm was tested and verified using the donor decays of a long lifetime rhenium lipid donor and a Texas red-lipid acceptor. Lateral diffusion coefficients ranged from 4.4 x 10(-9) cm(2)/s in 1,2-dimyristoyl-sn-glycero-3-[phospho-rac-(1-glycerol)] (DMPG) at 10 degrees C to 1.7 x 10(-7) cm(2)/s in 1,2-dioleoyl-sn-glycero-3-phosphocholine (DOPC) at 35 degrees C. These results demonstrated the possibility of direct measurements of lateral diffusion coefficients using microsecond decay time luminophores.     

Luminescence energy transfer with lanthanide chelates: interpretation of sensitized acceptor decay amplitudes

Lanthanide chelates used as donors offer several advantages over classical fluorescence probes in resonance energy transfer distance measurements. One of these advantages is that energy transfer can be conveniently measured using sensitized acceptor decay measurements. In these measurements a long microsecond lifetime of the lanthanide donor and a short nanosecond lifetime of the acceptor allow elimination of a signal from the unquenched donor. Therefore, the decay of sensitized acceptor emission reflects decay properties of the donor engaged in energy transfer. The purpose of this work is to point out the importance of the fact that the amplitude of the sensitized acceptor signal is dependent on the resonance energy transfer rate constant. Thus, in the case where there are two or more populations of donors with different energy transfer rate constants, the relative amplitudes of corresponding decay components observed in sensitized acceptor emission do not represent the relative populations of the donors. We use simulations to show that these effects can be very significant. A minor population of donors with a high rate of energy transfer can produce sensitized acceptor decay which is dominated by a decay component corresponding to this minor donor population. Using a simple experimental system of rapid diffusion limit energy transfer between a europium chelate and Cy5 acceptor we show that the predicted dependency of sensitized acceptor decay amplitude on the energy transfer rate is indeed observed. We suggest that the relative importance of decay components observed in sensitized acceptor emission should be evaluated after an appropriate correction of their values such that they properly reflect possible different populations of donors. We describe a method to perform such correction.     

Kinetics of the association of potential-sensitive dyes with model and energy-transducing membranes: Implications for fast probe response times

Summary The second-order rate constants characterizing the association of potential-sensing dyes of the cyanine, merocyanine, and oxonol classes with glycerylmonooleate suspensions, azolectin vesicles, or submitochondrial particles have been measured and the implications for redistribution type mechanisms proposed to explain the potential-dependent optical signals of these probes considered. The second-order rate constants obtained for the cyanines and oxonols are compatible with microsecond probe response times only on the assumption that a high local dye concentration exists in the aqueous phase immediately adjacent to the membrane surface. Calculations based on a surface charge density induced by a bias potential suggest that the necessary local concentration cannot be attained by a diffusion polarization mechanism. A model based on the rapid recombination of ejected dye with the membrane bilayer seems capable of explaining microsecond probe response times in systems where the potential is rapidly changing polarity; calculations suggest that an ejected dye molecule would not diffuse out of an unstirred layer of 100 microns thickness on a millisecond time scale. Microsecond probe responses are also compatible with a first-order potential-dependent dye ejection from the membrane with no rapid recombination when the potential is not changing polarity. The apparent first-order rate constants describing the interaction of merocanine M-540 with a glycerylmonooleate suspension are independent of dye concentration; the reaction may be diffusion limited. The high local dye concentration need not be met in this case for a mechanism based on the transfer of dye onto the membrane from the aqueous phase to describe the microsecond signals of this dye, but other mechanisms have been proposed to explain such signals. The mechanism leading to potentialdependent signals from optical probes appear to differ substantially between suspensions of energy-transducing biological membranes and those involving excitable membranes such as the squid giant axon or model black lipid membranes.     

Anomalous diffusion in a gel-fluid lipid environment: a combined solid-state NMR and obstructed random-walk perspective

Lateral diffusion is an essential process for the functioning of biological membranes. Solid-state nuclear magnetic resonance (NMR) is, a priori, a well-suited technique to study lateral diffusion within a heterogeneous environment such as the cell membrane. Moreover, restriction of lateral motions by lateral heterogeneities can be used as a means to characterize their geometry. The goal of this work is to understand the advantages and limitations of solid-state NMR exchange experiments in the study of obstructed lateral diffusion in model membranes. For this purpose, simulations of lateral diffusion on a sphere with varying numbers and sizes of immobile obstacles and different percolation properties were performed. From the results of these simulations, two-dimensional 31P NMR exchange maps and time-dependent autocorrelation functions were calculated. The results indicate that the technique is highly sensitive to percolation properties, total obstacle area, and, within certain limits, obstacle size. A practical example is shown, namely the study of the well-characterized DMPC-DSPC binary mixture. The comparison of experimental and simulated results yielded obstacle sizes in the range of hundreds of nanometers, therefore bridging the gap between previously published NMR and fluorescence recovery after photobleaching results. The method could also be applied to the study of membrane protein lateral diffusion in model membranes.     

Multiscale simulations of heterogeneous model membranes

This review will focus on computer modeling aimed at providing insights into the existence, structure, size, and thermodynamic stability of localized domains in membranes of heterogeneous composition. Modeling the lateral organization within a membrane is problematic due to the relatively slow lateral diffusion rate for lipid molecules so that microsecond or longer time scales are needed to fully model the formation and stability of a raft in a membrane. Although atomistic simulations currently are not able to reach this scale, they can provide data on the intermolecular forces and correlations that are involved in lateral organization. These data can be used to define coarse grained models that are capable of predictions of lateral organization in membranes. In this paper, we review modeling efforts that use interaction data from MD simulations to construct coarse grained models for heterogeneous bilayers. In this review we will discuss MD simulations done with the aim of gaining the information needed to build accurate coarse-grained models. We will then review some of the coarse-graining work, emphasizing modeling that has resulted from or has a basis in atomistic simulations.     

Multiscale simulations of heterogeneous model membranes

This review will focus on computer modeling aimed at providing insights into the existence, structure, size, and thermodynamic stability of localized domains in membranes of heterogeneous composition. Modeling the lateral organization within a membrane is problematic due to the relatively slow lateral diffusion rate for lipid molecules so that microsecond or longer time scales are needed to fully model the formation and stability of a raft in a membrane. Although atomistic simulations currently are not able to reach this scale, they can provide data on the intermolecular forces and correlations that are involved in lateral organization. These data can be used to define coarse grained models that are capable of predictions of lateral organization in membranes. In this paper, we review modeling efforts that use interaction data from MD simulations to construct coarse grained models for heterogeneous bilayers. In this review we will discuss MD simulations done with the aim of gaining the information needed to build accurate coarse-grained models. We will then review some of the coarse-graining work, emphasizing modeling that has resulted from or has a basis in atomistic simulations.     

Single-molecule anisotropy imaging

A novel method, single-molecule anisotropy imaging, has been employed to simultaneously study lateral and rotational diffusion of fluorescence-labeled lipids on supported phospholipid membranes. In a fluid membrane composed of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine, in which the rotational diffusion time is on the order of the excited-state lifetime of the fluorophore rhodamine, a rotational diffusion constant, D(rot) = 7 x 10(7) rad(2)/s, was determined. The lateral diffusion constant, measured by direct analysis of single-molecule trajectories, was D(lat) = 3.5 x 10(-8) cm(2)/s. As predicted from the free-volume model for diffusion, the results exhibit a significantly enhanced mobility on the nanosecond time scale. For membranes of DPPC lipids in the L(beta) gel phase, the slow rotational mobility permitted the direct observation of the rotation of individual molecules characterized by D(rot) = 1.2 rad(2)/s. The latter data were evaluated by a mean square angular displacement analysis. The technique developed here should prove itself profitable for imaging of conformational motions of individual proteins on the time scale of milliseconds to seconds.     

Dynamic patches of membrane proteins

We test here a previously proposed hypothesis about lateral heterogeneity of cell membranes, a model predicting that heterogeneity is maintained by a combination of delivery and intake of molecules with barriers to lateral free diffusion. To test the validity of the model, we observed green fluorescent protein tagged major histocompatibility complex class I patches on the plasma membrane of mouse fibroblasts, using total internal reflection fluorescence microscopy in real time. The dynamic characterization revealed the life course of these patches comprises delivery of molecules at a short instant, followed by a slow, exponential decay, corresponding to diffusion of the molecules over dynamic barriers to free lateral diffusion. The characteristic lifetime of the patches, extracted from the measurements, is approximately 30 s, in excellent agreement with the predictions of the model.     

Respiratory chain of bacterial membrane: assembly-mobile carriers equilibrium

The target size of NADH-oxidase activity of M. lysodeikticus isolated membranes for electron radiation is nearly equal to that obtained for NADH-dehydrogenase (about 50 kD). The complete cross-linking of membrane proteins by glutaraldehyde causes an increase of NADH-oxidase target size to 3-3.5 times its original value. Electrons are transported by cross-linked respiratory chain from NADH to O2 with 60-50% effectiveness of that in untreated membranes. It is proposed that electrons are transported through a multi-enzymic complex of individual carriers having limited lifetime with exchange of carriers between different respiratory complexes via lateral diffusion in membrane.     

Erythrosin B phosphorescence monitors molecular mobility and dynamic site heterogeneity in amorphous sucrose

Molecular mobility modulates the chemical and physical stability of amorphous biomaterials. This study used steady-state and time-resolved phosphorescence of erythrosin B to monitor mobility in thin films of amorphous solid sucrose as a function of temperature. The phosphorescence intensity (lifetime), emission energy, and red-edge excitation effect were all sensitive to localized molecular mobility on the microsecond timescale in the glass and to more global modes of mobility activated at the glass transition. Blue shifts in the emission spectrum with time after excitation and systematic variations in the phosphorescence lifetime with wavelength indicated that emission originates from multiple sites ranging from short lifetime species with red-shifted emission spectrum to long lifetime species with blue-shifted emission spectrum; the activation energy for nonradiative decay of the triplet state was considerably larger for the blue-emitting species in both the glass and the melt. This study illustrates that phosphorescence from erythrosin B is sensitive both to local dipolar relaxations in the glass as well as more global relaxations in the sucrose melt and provides evidence of the value of phosphorescence as a probe of dynamic site heterogeneity as well as overall molecular mobility in amorphous biomaterials.     

Synthesis, location, and lateral mobility of fluorescently labeled ubiquinone 10 in mitochondrial and artificial membranes

To explore the influence of the long isoprene chain of ubiquinone 10 (UQ) on the mobility of the molecule in a phospholipid bilayer, we have synthesized a fluorescent derivative of the head-group moiety of UQ and measured its lateral diffusion in inner membranes of giant mitochondria and in large unilamellar vesicles. The diffusion coefficients, determined by the technique of fluorescence redistribution after photobleaching, were 3.1 X 10(-9) cm2 s-1 in mitochondria and 1.1 X 10(-8) cm2 s-1 in vesicles. Similar diffusion rates were observed for fluorescently labeled phosphatidylethanolamine (PE) with the same moiety attached to its head group (4-nitro-2,1,3-benzooxadiazole: NBD). Fluorescence emission studies carried out in organic solvents of different dielectric constants, and in vesicles and mitochondrial membranes, indicate that NBDUQ is located in a more hydrophobic environment than NBDPE or the starting material IANBD (4-[N-[(iodoacetoxy)ethyl]-N-methylamino]-7-nitro-2,1,3- benzoxadiazole). Fluorescence quenching studies carried out with CuSO4, a water-soluble quenching agent, also indicate that NBDUQ is located deeper in the membrane than NBDPE. These results suggest that ubiquinone and PE are oriented differently in a membrane, even though their diffusion rates are similar. Conclusions regarding whether or not diffusion of UQ is a rate-limiting step in electron transfer must await a more detailed knowledge of the structural organization and properties of the electron transfer components.     

Lateral diffusion of ubiquinone during electron transfer in phospholipid- and ubiquinone-enriched mitochondrial membranes

After fusion of small unilamellar phospholipid liposomes with mitochondrial inner membranes, the rate of electron transfer between membrane dehydrogenases and cytochrome c decreases as the average distance between integral membrane proteins increases, suggesting that electron transfer is mediated through a diffusional process in the membrane plane (Schneider, H., Lemasters, J. J., H?chli, M., and Hackenbrock, C. R. (1980)., J. Biol. Chem. 255, 3748-3756). The role of ubiquinone in this process was evaluated by fusing liposomes containing ubiquinone-10 or ubiquinone-6, with inner membranes. In control membranes enriched with phospholipid only, ubiquinol-cytochrome c reductase and NADH- and succinate-cytochrome c reductase activities decreased proportionally to the increase in bilayer lipid. These decreases were restored substantially in phospholipid plus ubiquinone-supplemented membranes. The degree to which restoration occurred was dependent upon the length of the isoprenoid side chain of the ubiquinone with the shorter chain length ubiquinone-6, always giving greater restoration than ubiquinone-10. It is concluded that electron transfer between flavin-linked dehydrogenases (Complexes I and II) and cytochrome bc1 (Complex III) occurs by independent, lateral diffusion of ubiquinone as well as independent, lateral diffusion of ubiquinone as well as the protein complexes within the plane of the membrane.     

Lifetime of major histocompatibility complex class-I membrane clusters is controlled by the actin cytoskeleton

Lateral heterogeneity of cell membranes has been demonstrated in numerous studies showing anomalous diffusion of membrane proteins; it has been explained by models and experiments suggesting dynamic barriers to free diffusion, that temporarily confine membrane proteins into microscopic patches. This picture, however, comes short of explaining a steady-state patchy distribution of proteins, in face of the transient opening of the barriers. In our previous work we directly imaged persistent clusters of MHC-I, a type I transmembrane protein, and proposed a model of a dynamic equilibrium between proteins newly delivered to the cell surface by vesicle traffic, temporary confinement by dynamic barriers to lateral diffusion, and dispersion of the clusters by diffusion over the dynamic barriers. Our model predicted that the clusters are dynamic, appearing when an exocytic vesicle fuses with the plasma membrane and dispersing with a typical lifetime that depends on lateral diffusion and the dynamics of barriers. In a subsequent work, we showed this to be the case. Here we test another prediction of the model, and show that changing the stability of actin barriers to lateral diffusion changes cluster lifetimes. We also develop a model for the distribution of cluster lifetimes, consistent with the function of barriers to lateral diffusion in maintaining MHC-I clusters.     

Characteristics of self-quenching of the fluorescence of lipid-conjugated rhodamine in membranes

Self- or concentration quenching of octadecylrhodamine B (C18-Rh) fluorescence increases linearly in egg phosphatidylcholine (PC) vesicles but exponentially in vesicles composed of egg PC:cholesterol, 1:1, as the probe concentration is raised to 10 mol%. Cholesterol-dependent enhancement of self-quenching also occurs when N-(lissamine-rhodamine-B-sulfonyl)dioleoylphosphatidylethanolamine is substituted for C18-Rh and resembles that in dipalmitoylphosphatidylcholine vesicles below, as opposed to above, the phase transition. These effects are not due to changes in dimer:monomer absorbance. Stern-Volmer plots indicate a dependence of quenching on nonfluorescent dimers both in the presence and absence of cholesterol. Decreases in fluorescence lifetimes with increasing probe concentration parallel decreases in residual fluorescence of C18-Rh with increasing probe concentration in PC and PC + cholesterol membranes, respectively. Decreases in the steady-state polarization of C18-Rh fluorescence as its concentration is raised to 10 mol% indicate energy transfer with emission between probe molecules in PC and to a lesser extent in PC + cholesterol membranes. The calculated R0 for 50% efficiency of energy transfer from excited state probe to monomer was 55-58 A and to dimer was 27 A. Since lateral diffusion of C18-Rh is probably too slow to permit collisional quenching during the lifetime of the probe, even if C18-Rh were concentrated in a separate phase, C18-Rh self-quenching appears to be due mainly to energy transfer without emission to nonfluorescent dimers.     

Photocurrent measurements of the purple membrane oriented in a polyacrylamide gel.

When illuminated, oriented purple membranes isolated from Halobacterium halobium give a photoelectric effect. The frequency response of a photocurrent measuring system for purple membranes oriented and immobilized in a polyacrylamide gel is analyzed from DC to 100 MHz. The waveform of the photocurrent can depend on both the sample conditions (including bathing solution) and the measuring system (electrode and ammeter) at both the low and high frequency ends. In the DC-1 kHz range (millisecond signals), the apparent lifetime of the photocurrent component is distorted if the electrode is not platinized and if the conductivity of the bathing solution is not low. In the 1 kHz to 1 MHz range (microsecond signals), the frequency response is flat under most conditions. In the MHz range (nanosecond signals), the apparent lifetime of the photocurrent component will be distorted if the conductivity of the bathing solution is not high and if the input impedance of the ammeter is not low and constant throughout the frequency range. With our optimized apparatus, we could measure the photocurrent components from oriented purple membrane with lifetimes from 70 ms to 32 ns without distortion by the measuring system.     

Fluorescence Lifetime Imaging of Membrane Lipid Order with a Ratiometric Fluorescent Probe

To monitor the lateral segregation of lipids into liquid-ordered (Lo) and -disordered (Ld) phases in lipid membranes, environment-sensitive dyes that partition in both phases but stain them differently have been developed. Of particular interest is the dual-color F2N12S probe, which can discriminate the two phases through the ratio of its two emission bands. These bands are associated with the normal (N^∗) and tautomer (T^∗) excited-state species that result from an excited-state intramolecular proton transfer. In this work, we investigated the potency of the time-resolved fluorescence parameters of F2N12S to discriminate lipid phases in model and cell membranes. Both the long and mean lifetime values of the T^∗ form of F2N12S were found to differ by twofold between Ld and Lo phases as a result of the restriction in the relative motions of the two aromatic moieties of F2N12S imposed by the highly packed Lo phase. This differed from the changes in the ratio of the two emission bands between the two phases, which mainly resulted from the decreased hydration of the N^∗ form in the Lo phase. Importantly, the strong difference in lifetimes between the two phases was preserved when cholesterol was added to the Ld phase. The two phases could be imaged with high contrast by fluorescence lifetime imaging microscopy (FLIM) on giant unilamellar vesicles. FLIM images of F2N12S-labeled live HeLa cells confirmed that the plasma membrane was mainly in the Lo-like phase. Furthermore, the two phases were found to be homogeneously distributed all over the plasma membrane, indicating that they are highly mixed at the spatiotemporal resolution of the FLIM setup. Finally, FLIM could also be used to sensitively monitor the change in lipid phase upon cholesterol depletion and apoptosis.     

The rate of lateral diffusion of phospholipids in erythrocyte microvesicles

31P-NMR spectra of phospholipids in membranes of erythrocyte microvesicles isolated from outdated blood units were recorded in the temperature range 5 to 55 degrees C. Within that range the lineshape is strongly influenced by an increasing rate of lateral diffusion of phospholipids. At 36 degrees C a diffusion constant, D, of (2 +/- 1) X 10(-12) m2/s was obtained. The diffusion rate is by a factor of 3 to 10 greater than in erythrocyte membranes measured by the photobleaching technique and is comparable with values obtained for several lipid model membranes. The differences in lateral diffusion rates are probably connected with the depletion of microvesicle membranes in membrane proteins.     

Obstructed diffusion in phase-separated supported lipid bilayers: a combined atomic force microscopy and fluorescence recovery after photobleaching approach

Proteins and other macromolecules are believed to hinder molecular lateral diffusion in cellular membranes. We have constructed a well-characterized model system to better understand how obstacles in lipid bilayers obstruct diffusion. Fluorescence recovery after photobleaching was used to measure the lateral diffusion coefficient in single supported bilayers composed of mixtures of 1,2-dilauroylphosphotidylcholine (DLPC) and 1,2-distearoylphosphotidylcholine (DSPC). Because these lipids are immiscible and phase separate at room temperature, a novel quenching technique allowed us to construct fluid DLPC bilayers containing small disk-shaped gel-phase DSPC domains that acted as obstacles to lateral diffusion. Our experimental setup enabled us to analyze the same samples with atomic force microscopy and exactly characterize the size, shape, and number of gel-phase domains before measuring the obstacle-dependent diffusion coefficient. Lateral obstructed diffusion was found to be dependent on obstacle area fraction, size, and geometry. Analysis of our results using a free area diffusion model shows the possibility of unexpected long-range ordering of fluid-phase lipids around the gel-phase obstacles. This lipid ordering has implications for lipid-mediated protein interactions in cellular membranes.     

Cerulean, Venus, and VenusY67C FRET reference standards

F?rster's resonance energy transfer (FRET) can be used to study protein-protein interactions in living cells. Numerous methods to measure FRET have been devised and implemented; however, the accuracy of these methods is unknown, which makes interpretation of FRET efficiency values difficult if not impossible. This problem exists due to the lack of standards with known FRET efficiencies that can be used to validate FRET measurements. The advent of spectral variants of green fluorescent protein and easy access to cell transfection technology suggests a simple solution to this problem: the development of genetic constructs with known FRET efficiencies that can be replicated with high fidelity and freely distributed. In this study, fluorescent protein constructs with progressively larger separation distances between donors and acceptors were generated and FRET efficiencies were measured using fluorescence lifetime spectroscopy, sensitized acceptor emission, and spectral imaging. Since the results from each method were in good agreement, the FRET efficiency value of each construct could be determined with high accuracy and precision, thereby justifying their use as standards.