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Fluorescence Techniques to Study Lipid Dynamics Erdinc Sezgin and Petra Schwille Biophysics Group, BIOTEC, TU Dresden, 01307 Dresden, Germany Correspondence: [email protected] Biological research has always tremendously benefited from the development of key meth- odology. In fact, it was the advent of microscopy that shaped our understanding of cells as the fundamental units of life. Microscopic techniques are still central to the elucidation of bio- logical units and processes, but equally important are methods that allow access to the dimension of time, to investigate the dynamics of molecular functions and interactions. Here, fluorescence spectroscopy with its sensitivity to access the single-molecule level, and its large temporal resolution, has been opening up fully new perspectives for cell biology. Here we summarize the key fluorescent techniques used to study cellular dynamics, with the focus on lipid and membrane systems. T o elucidate cellular processes in their native dynamic environment has been one of the main issues in cell biology over the past decades. The lack of appropriate techniques has long been the main limiting step for the research on dynamic systems, because it was impossible to acquire real time information with the well-known biochemical techniques. The key challenge in dynamically observing biological systems is to combine the ability to resolve moderate to very low concentrations of mole- cules—because they are simply limited in living cells—on relevant timescales. Relevant time- scales in cell biology can be minutes and hours, on a systemic level of cell metabolism, down to the microsecond and even nanosecond regime in which molecular and intramolecular rearrangements take place. With respect to li- pidic systems, relevant dynamics range from the local movements of lipids by diffusion to the mechanical transformations of whole mem- branes, spanning several orders of magnitude in time to be covered. Like for other cellular pro- cesses, the investigation of lipids and mem- branes also in general benefited greatly from the introduction of fluorescence microscopy and spectroscopy to biology. After the 1960s, great technological inventions based on the phenomenon of fluorescence were made, such as confocal microscopy, fluorescence recovery after photobleaching (FRAP), fluorescence cor- relation spectroscopy (FCS), Fo ¨rster resonance energy transfer (FRET), total internal reflection fluorescence (TIRF), and two-photon micros- copy, that not only revolutionized imaging but also yielded access to dynamics on previ- ously inaccessible timescales. Another very big step was certainly taken after the introduction Editor: Kai Simons Additional Perspectives on The Biologyof Lipids available at www.cshperspectives.org Copyright # 2011 Cold Spring Harbor Laboratory Press; all rights reserved. Advanced Online Article. Cite this article as Cold Spring Harb Perspect Biol doi: 10.1101/cshperspect.a009803 1 on June 29, 2018 - Published by Cold Spring Harbor Laboratory Press http://cshperspectives.cshlp.org/ Downloaded from

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Fluorescence Techniques to StudyLipid Dynamics

Erdinc Sezgin and Petra Schwille

Biophysics Group, BIOTEC, TU Dresden, 01307 Dresden, Germany

Correspondence: [email protected]

Biological research has always tremendously benefited from the development of key meth-odology. In fact, it was the advent of microscopy that shaped our understanding of cells as thefundamental units of life. Microscopic techniques are still central to the elucidation of bio-logical units and processes, but equally important are methods that allow access to thedimension of time, to investigate the dynamics of molecular functions and interactions.Here, fluorescence spectroscopy with its sensitivity to access the single-molecule level,and its large temporal resolution, has been opening up fully new perspectives for cellbiology. Here we summarize the key fluorescent techniques used to study cellular dynamics,with the focus on lipid and membrane systems.

To elucidate cellular processes in their nativedynamic environment has been one of the

main issues in cell biology over the past decades.The lack of appropriate techniques has longbeen the main limiting step for the researchon dynamic systems, because it was impossibleto acquire real time information with thewell-known biochemical techniques. The keychallenge in dynamically observing biologicalsystems is to combine the ability to resolvemoderate to very low concentrations of mole-cules—because they are simply limited in livingcells—on relevant timescales. Relevant time-scales in cell biology can be minutes and hours,on a systemic level of cell metabolism, downto the microsecond and even nanosecondregime in which molecular and intramolecularrearrangements take place. With respect to li-pidic systems, relevant dynamics range from

the local movements of lipids by diffusion tothe mechanical transformations of whole mem-branes, spanning several orders of magnitude intime to be covered. Like for other cellular pro-cesses, the investigation of lipids and mem-branes also in general benefited greatly fromthe introduction of fluorescence microscopyand spectroscopy to biology. After the 1960s,great technological inventions based on thephenomenon of fluorescence were made, suchas confocal microscopy, fluorescence recoveryafter photobleaching (FRAP), fluorescence cor-relation spectroscopy (FCS), Forster resonanceenergy transfer (FRET), total internal reflectionfluorescence (TIRF), and two-photon micros-copy, that not only revolutionized imagingbut also yielded access to dynamics on previ-ously inaccessible timescales. Another very bigstep was certainly taken after the introduction

Editor: Kai Simons

Additional Perspectives on The Biology of Lipids available at www.cshperspectives.org

Copyright # 2011 Cold Spring Harbor Laboratory Press; all rights reserved.

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of fluorescent proteins, which again acceleratedthe use of these techniques in living cells andorganisms. Nowadays, the technical advance-ments of fluorescence-based methods allow usto explore systems as small as single moleculeswith temporal resolution down to the nanosec-onds regime. Lately, even the resolution limit ofoptical microscopy, for a long time being one ofthe fundamental barriers in elucidating cellularprocesses, has been overcome by smart applica-tions of the phenomenon of fluorescence.

This article aims at giving a short overviewon mainly fluorescence-based methods thathave in recent years propelled lipid and mem-brane research to fully new levels. We will givea short introduction to the modern fluores-cence technology in general, referring to thetechniques that allow addressing dynamics. Aparticular focus will be on fluorescence corre-lation spectroscopy, a technique that our labworks primarily on, but other important meth-ods will also be discussed, including their prom-ises, achievements, and caveats.

FLUORESCENCE TO STUDY LIPIDDYNAMICS

The attempt to visualize the “living units” hasprogressed remarkably after Hooke’s Micro-graphia. Starting from a simple light source, amechanical stage, and up to three glass lenses,microscopy nowadays culminated in so-calledsuper-resolution techniques with particle lo-calization accuracies down to the nanometerrange. Certainly, the involvement of the phe-nomenon of fluorescence is one of the biggeststeps in this long journey.

Fluorescence is such a ubiquitous phenom-enon that it is impossible to speculate about itsfirst systematic observation. The first reporteddocumentation of fluorescence is thought to beNicolas Monardes’ observation of wood extract.In 1845, John Herschel observed the fluorescentproperty of quinine sulphate which is believedto be the onset of modern fluorescence spec-troscopy. After many more observations by sev-eral light philosophers in the 19th century, it wasStokes who actually termed this phenomenon“fluorescence” in 1838. The first application in

biology was probably in 1914 Stanislav von Pro-vazek who used fluorescence as a cell stain.August Koehler and Oskar Heimstadt were re-portedly the first scientists who performed fluo-rescence microscopy in early 1900s. Today, acentury later, fluorescence imaging and micros-copy is one of the most powerful tools in thevisualization and dynamic analysis of livingstructures, especially following the discovery offluorescent proteins as cloneable markers, andthe invention and widespread use of confocalmicroscopy. Minsky, its inventor, patented theidea of confocal microscopy already in the1950s, and about 20 years later, the first commer-cial confocal microscopes appeared. Since then,many researchers and optical engineers step bystep improved the technical realization (Bra-kenhoff et al. 1979; Davidovi and Egger 1973;Egger and Petran 1967; Hamilton and Wilson1986; Sheppard and Wilson 1979). The rapiddevelopments in laser and detector technology,along with the onset of fiber optics certainlyhelped in the rapid dissemination of confocalmicroscopy into cell biology laboratories aroundthe world (Amos and White 2003).

When light interacts with matter, many pho-tophysical phenomena may occur. Some mole-cules absorb light at a particular wavelength,whereas others predominantly scatter the light.On absorption, the molecules undergo vibra-tional relaxation on timescales between 10214

and 10212 sec, and then return to ground state,either by emitting a photon at a longer wave-length after 1029 to 1027 nsec, which is calledfluorescence, or nonradiatively. Less probably,the molecules can jump to the quantum-mechanically forbidden triplet state or mole-cules transfer their energy to other molecules,by quenching or resonant energy transfer. Afterthe molecules undergo the triplet state, theyreturn to the ground state either by emittinglight in longer time ranges than fluorescence ornonradiatively.

In the following sections, we will brieflytouch on the task of fluorescently labeling lipidsto be investigated, and then discuss, one by one,the most powerful biophysical techniques tostudy lipids and membranes in real time, alongwith some of their relevant applications.

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Fluorescent Probes to Study Lipid Dynamics

After the invention of green fluorescent protein(GFP) as the first truly genetic fluorescent probe,visualizing proteins in their native environmentbecame much more straightforward. From theperspective of the membrane researcher, thissignificantly improved our understanding ofmembrane proteins and their dynamics, butcould help only marginally in better elucidatingthe functional dynamics of lipids. The firstreport on labeling lipids in living cells usedazide-alkyne to label alkyne containing PA(Schultz et al. 2010). Besides this direct labeling,coupling the synthetic fluorescence molecules tolipids in vitro, and then reconstitute them to thecell membrane is getting more common in lipidfield, enforcing the use of fluorescence also inlipid biology. Synthetic dye coupling has manyadvantages compared to fluorescent proteins,which nowadays represent the main strategy inprotein labeling. First of all, one has theoreticallya large choice of organic dyes in terms of theiroptical characteristics. It is possible, for instance,to use a far red dye; however, there is not yet awell-established monomeric far red protein.Second, the quantum efficiency and brightnessof most of the organic dyes are higher thanfor fluorescent proteins. Cholesterol (Boldyrevet al. 2007; Holtta-Vuori et al. 2008; Markset al. 2008; Oreopoulos and Yip 2009), Sphingo-myelin (Marks et al. 2008; Eggeling et al. 2009;Tyteca et al. 2010), GM1 (Coban et al. 2007; Egg-eling et al. 2009; Mikhalyov et al. 2009), PC,and PE (Baumgart et al. 2007; Juhasz et al.2010) are some of the lipids that are often conju-gated to organic dyes. Additionally, fluorescentlylabeled membrane-binders, like choleratoxin,are used to label, for example, the GMs on thecell surface (Middlebrook and Dorland 1984).However, taking into account that organic fluo-rophores are in comparison much larger handi-caps to small lipid molecules than they are toproteins, and that the relatively tight packingof lipids in a membrane might be more easilydisturbed by labeled lipids than in the case ofsoluble proteins, a careful control of the possibleinfluence of labels on the functionality of lipidsis of utmost importance.

Besides fluorescent lipid conjugates, thereare some lipophilic fluorescent molecules fre-quently used to yield information on a specificlipid environment. They efficiently and selec-tively penetrate into lipid membranes, and tosome extent even reflect on their physical prop-erties, like viscosity, order, pH, or water content.DiO, DiD, DiI, Laurdan, and NAP are the lipo-philic dyes most commonly used to visualizethe lipid environment (Baumgart et al. 2007).Although the Di family of dyes is phase-prefer-ring probes preferring either liquid-ordered(Lo) phase or liquid-disordered (Ld) phase in aspecific setting, Laurdan has a different property.It partitions equally in both phases, but its emis-sion spectrum changes according to the polarityof the membrane environment. Providing thatLd phase is more aqueous than Lo phase, on exci-tation the dye consumes some of its energy toreorient the water molecules in Ld phase, whichshifts the emission to the red spectral region(emission maximum of 490 nm), whereas it ismore blue shifted in Lo region (emission maxi-mum of 440 nm). According to the ratio offluorescence intensity in the blue-shifted (Lo

phase) and the red-shifted region (Ld phase),one can calculate an order indicative value calledgeneralized polarization (GP) calculated as

GP ¼ I440 � I490

I440 þ I490, (1)

where Ix denotes the intensity at wavelength of x.In addition to generalized polarization,

fluorescence anisotropy is another importantphenomenon that can be exploited to monitorrotational diffusion of the molecules by usingthe polarization of light. Because rotational dif-fusion is very sensitive to the size of molecules,binding constants can be efficiently derivedfrom fluorescence anisotropy measurements.There have been comparative studies on the fea-sibility of several dyes for fluorescence anisot-ropy. Alexa and Oregon dyes conjugates withbiological molecules (e.g., lipids), for instance,were found to be suitable for this method (Rusi-nova et al. 2002). Additionally, NBD and DHPlipid conjugates were used for fluorescence ani-sotropy to detect rafts in living cells (Gidwaniet al. 2001). Laurdan generalized polarization

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and fluorescence anisotropy were comparedelsewhere (Engelke et al. 2001).

Besides lipid probes for the plasma mem-brane, there are also some tools to probe otherlipidic environments in the cell, such as lipiddroplets (Thiele and Spandl 2008). New fluores-cent lipids were developed to visualize the intra-cellular and membrane lipids in their nativeenvironment without any external fluorescentlabels (Kuerschner et al. 2005; Spandl et al. 2009).

Confocal Microscopy

Confocal microscopy may easily be the mostwidely applied imaging technique in cell andmolecular biology field because it allows livecell imaging with high spatial and temporal res-olution, as well as optical sectioning and 3Dreconstruction of images. To start with the tech-niques for cell dynamics, confocal microscopyshould therefore be briefly mentioned becauseit forms the basis (and often the gold standard)for most of the other techniques.

The confocal concept evolved as an alter-native to wide-field microscopy. For wide-fieldmicroscopy, the so-called Koehler illuminationguarantees a homogeneous illumination of thewhole sample, which is then detected by areadetectors. In contrast to this, confocal illumina-tion occurs only at a resolution-limited point,which can then be sequentially scanned in threedimensions throughout the sample. As a tech-nical difference, coherent light sources (lasers)are usually employed in confocal microscopy,whereas incoherent lamps are still mostly usedin wide-field microscopy. However, the basicdifference between wide-field and confocal mi-croscopies is a so-called pinhole aperture whicheliminates the out-of-focus light in the imageplane, being the main source of background inwide field. The minimal size of the confocal illu-mination volume, and therefore the resolutionthat can be reached in confocal microscopy isusually determined by the so-called Rayleigh cri-terion. Here, resolution of the wide field isdefined as the shortest distance d between twooptically separable points:

d ¼ 0:61� l

NA, (2)

where l is the wavelength and NA is the numer-ical aperture of the objective. When the advan-tage of selective detection (pinhole) andselective illumination (diffraction limited spotby coherent light source) are applied, the resolu-tion reaches a better point:

d ¼ 0:4� l

NA, (3)

Taking above equation into consideration, thetheoretical resolution of a confocal system withan NA of 1.4, at a wavelength of 500 nm shouldbe �160 nm. However, all theoretical calcula-tions consider a perfect optical system and a pin-hole of a laser spot size (i.e., Airy disc size). Yet,there are many aberrations caused by imperfectoptics such as spherical aberrations, chromaticaberrations, astigmatism, comma etc. Moreover,pinhole size can never be as small as laser spotsize. The biggest problem in confocal micros-copy is, however, the large discrepancy betweenlateral (x–y) and axial resolution, resulting inimage stacks that are usually quite blurred inthe z dimension.

Axial resolution is given by

dz ¼1:4� l� n

NA2 , (4)

where n is the refractive index of the medium.The axial resolution is usually three to five timesworse than lateral resolution.

The limitation in axial resolution is a minorproblem for pure membrane systems with littleto no contribution of fluorescence light comingfrom the solution above and below the mem-brane. Thus, confocal microscopy has been par-ticularly useful on supported membranes orgiant unilamellar vesicles (GUVs) (Korlachet al. 1999). On the other hand, for the studyof cellular membranes with their rather highbackground from cellular autofluorescenceand labeled molecules that cannot easily beretained at the cell surface (e.g., because ofendocytosis), limited z resolution can be a sig-nificant technical problem in studying lipiddynamics. For this reason, other illuminationstrategies established for fluorescence micros-copy, such as total internal reflection (TIR), are

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becoming increasingly popular for lipid andmembrane research.

Total Internal Reflection Fluorescence(TIRF) Microscopy

Total internal reflection is a well-known phe-nomenon in everyday life. When a light beampasses from a medium with a refractive indexn1 to the other medium with a refractive indexn2, the relationship between the angle of inci-dence a1 and the angle of refraction a2 is deter-mined by Snell’s law:

n1 sina1 ¼ n2 sina2: (5)

When n1 . n2 (e.g., when light is propagat-ing from water or glass into air), there exists acriticala1 angle that would render the refractionangle to be 908 (i.e., parallel to the interface). Atincidence angles equal to or greater than thiscritical angle, light cannot cross the boundary,and is internally reflected. This phenomenonis called total internal reflection (TIR). The crit-ical angle (ac) is determined by the refractiveindices of the media:

ac ¼ sin�1 (n2=n1): (6)

Although the light ray is totally reflected, itselectrical field creates an evanescent wave whoseintensity decreases exponentially in the axialdirection (Fig. 1):

I(z) ¼ I(0)e�z=d, (7)

where d is defined as

d ¼ l

4p

� �n2

1 sin2 a1 � n22

� ��1=2, (8)

and l is the wavelength. The principle is sche-matically depicted in Figure 1.

The most remarkable feature of TIR illumi-nation for membrane research is that the evan-escent wave illuminates only a limited distance(�100 nm) along the z-axis, which reducesbackground coming from molecules above thesurface substantially, thereby increasing theaxial resolution and the signal-to-noise levels.The detailed physics behind TIR can be accessedfrom references Axelrod (2008) and Axelrodet al. (1983).

There are currently two methods to realizethis illumination mode for fluorescence mi-croscopy. The first, simpler, method is to use ahigh-NA TIRF objective. The light beam enter-ing the objective is focused at the back focalplane of the objective with a displacementfrom the optical axis, such that it reaches thesurface above the critical angle. Surface fluores-cence is collected by the same objective and canbe detected in the usual way.

The necessity for using a high-NA objectivecan be understood by considering that

NA ¼ n sin u: (9)

Then, Equation 8 can be rewritten as

d ¼ (l=4p)(NA2 � n22)�1=2: (10)

Penetration depth

Membrane

Glass

Evanescentfieldintensity

Incident beam

α > αc

Reflected beam

nglass = 1.518

nmemb = 1.33 – 1.38

Fie

ld in

tens

ity

Figure 1. Evanescent wave and TIRF.

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When NA , n2, d is imaginary, which meanslight is refracted and TIR is lost. That is whythe NA of TIRF objectives should be higherthan the refractive index of the sample medium.A living cell has a refractive index of 1.33–1.38.Many current TIRF objectives thus have a NA of1.45, which creates a penetration depth of theevanescent field of 82 nm at 488 nm excitationjust above the critical angle.

The second way to create an evanescentwave is to use a prism. In this case, the sampleis located between the prism and objective.The illumination is performed through theprism, while the objective collects the emissionand transfers the signal to the camera. Thisdecoupling of illumination and detection canbe quite useful to create large illuminationareas, but is less comfortable than objective-based TIR, which can be easily realized in anyfluorescence microscope.

Further advantages of prism-based TIR arelower background and a better control on angleand polarization. It is also easy to set up for twocolors. On the other hand, the free access to oneside of the sample, safety of lasers, ease to usewith cell culture plates can be counted as theadvantages of objective-based system.

TIRF can be coupled to other techniquesas a specific illumination mode when good zresolution is crucial. It has been combinedwith FCS, FRET, FRAP, AFM, fluorescentlifetime imaging, two-photon excitation, opti-cal traps, and interference reflection. Somecombinations of these techniques will be dis-cussed later.

Polarized TIRF

The fluorophores can be excited only if theirdipole is parallel to the excitation light dipole,which is called photoselection. A variationof TIRF called polarized TIRF uses polarizedlight perpendicular to the incidence plane(p-polarized) and parallel to the incidenceplane (s-polarized) to overcome this limit. Ifthe dipole of a fluorophore is always parallelto the membrane surface, p-polarized lightcan help to excite only the regions where themembrane is not parallel to the surface. The

investigation of membrane curvature can bean important application field for polarizedTIRF (Axelrod 2008).

TIRF Applications on Membrane Dynamics

There have been many studies to elucidatemembrane dynamics using TIRF. Recently, ithas been shown that TIRF has the capacity toshow the adsorption of proteins and peptidesto lipids in SLBs (Fox et al. 2009; Jorgensenet al. 2009). TIRF was combined with single-particle tracking to show the enrichment ofGPI-anchored proteins in sphingolipid richregions, as proposed by lipid raft theory(Pinaud et al. 2009). A new method has alsobeen applied to detect lipid rafts, called LG-TIRF (Sohn et al. 2010). Other applicationswere to elucidate the role of ceramide in mem-brane restructuring (Ira et al. 2009), the organ-ization of bacterial light harvesting complex 2(Dewa et al. 2006), the role of cholesterol inantibody binding (Yu et al. 2009), EGFR activa-tion by EGF (Sako et al. 2000; Cannon et al.2005; Teramura et al. 2006), and the phasepreference of peptides (Choucair et al. 2007).Membrane curvature, exocytosis, and endocy-tosis are some other topics in which TIRF issuccessfully applied (Merrifield et al. 2002,2005; Byrne et al. 2008; Nagamatsu andOhara-Imaizumi 2008; Joselevitch and Zenisek2009; Ohara-Imaizume et al. 2009; Aoki et al.2010; Gorg et al. 2010; Lam et al. 2010).

Two-Photon Microscopy

The theoretical basis of two-photon excitationwas laid in a study of the early 1930s (Goppert1929), although the experimental realizationtook almost three decades (Kaiser and Garrett1961). It was first used in LSM in the 1970s(Hellwarth and Christensen 1975) but a con-vincing two-photon excitation fluorescencemicroscopy was only demonstrated in 1990(Denk et al. 1990).

Two-photon microscopy, as the name im-plies, uses simultaneous absorption of twolonger wavelength photons (at l1 and l2) toexcite a fluorophore, which would be usually

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excited by a single photon at a shorter wave-length (l3). The relationship between the wave-lengths is

l3 ¼1

l�11 þ l�1

2

: (11)

Because the two photons have to be absorbedsimultaneously to excite the fluorophore,the excitation is dependent on the square ofthe light intensity. This could be thought as anequivalent of the double selection in confocalimaging, achieved by a selective illuminationby the light source and selective detection bya pinhole. Therefore, in the two-photon illumi-nation mode, a pinhole is no longer necessary.Moreover, it minimizes the out-of-focus photo-bleaching because the excitation only occurs inthe vicinity of the focal plane (Fig. 2). Scatteringis greatly reduced with two-photon excitation,and penetration depths for the long wavelengthexcitation are increased.

Because the emission does not have to passthrough a pinhole, area detectors can be usedand no descanning of the beam is necessary,making detection quite simple.

Another advantage of two-photon micros-copy is its ability to excite fluorophores absorb-ing in the UV by two photons in visible range,which surpasses usual UV transmission prob-lems with glass lenses. In combination withthe reduced out-of-focus fluorescence, it alsoprovides a suitable tool for UV uncaging invivo without significant photo damage.

The photon density in two-photon excita-tion should be about one million times higherthan is required for single-photon excitation,because of the square dependence of theabsorption on intensity. Therefore, pulsed lasersshould be used with sufficient photon fluxin the pulses while having fairly low averagepower. Titanium-sapphire lasers are extensivelyused for two-photon microscopes because theyprovide a wide range of excitation wavelengthsbetween 700 and 1100 nm. Because of differentphotophysical selection rules, two-photon ab-sorption spectra are not identical with twicethe spectra for one-photon excitation, and havetherefore to be independently determined. Inthe same way as for TIR illumination, two-photon excitation can be combined with othersingle-molecule techniques.

Applications

Two-photon microscopy is very suitable toexcite photosensitive, easily bleachable lipidprobes in the blue to near-UV spectral range,such as Laurdan or C-Laurdan. These probeswere used to detect the membrane domains inmodel membranes, as well as in living cells, bytwo-photon microscopy (Parasassi et al. 1997;Bagatolli and Gratton 1999, 2000a,b; Dietrichet al. 2001; Bagatolli 2003; Bagatolli et al.2003; Kim et al. 2007; Kaiser et al. 2009). Theorder of different membrane systems was inves-tigated (Gasecka et al. 2009), and new probes

Figure 2. (A) Two-photon illumination and (B) single-photon illumination.

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to visualize the membrane order were tested bytwo-photon microscopy (Jin et al. 2006; Kimet al. 2008; Klymchenko et al. 2009).

Fluorescence Recovery afterPhotobleaching (FRAP)

FRAP or, under its previous name, fluorescencephotobleaching recovery (FPR) was first de-scribed in the late 1970s (Axelrod et al. 1976;Koppel et al. 1976) and got very popular inthe 1990s because of the improvements in opticsand the discovery of fluorescent proteins.

FRAP is a technique that exploits the pho-tobleaching property of fluorophores. A regionof interest (ROI) is bleached with a high laserpower. Then, the ROI is observed for fluores-cence recovery, caused by diffusion, interactionsor reactions of the surrounding fluorophores,which yields a recovery curve. This curve typi-cally looks like the one shown in Figure 3. Itsmost remarkable features are the bleachingstep, an exponential-like recovery with charac-teristic half-time, and a recovery level usuallylower than the initial level, whose offset is theso-called “immobile fraction.”

According to the steepness of the recovery,diffusion coefficients, binding rates or turnoverrates can be determined. The steeper the recov-ery is, the faster the molecules are, with diffusion

coefficients (D) determined by the Stokes–Ein-stein relationship for spherical molecules:

D ¼ kBT

6phr, (12)

where kB is the Boltzman constant, T is the abso-lute temperature, h is the viscosity, and r is thehydrodynamic radius of the spherical particles.

Because photobleaching is an irreversibleprocess, immobile molecules will not recoverat all. Therefore, one can obtain the im-mobile fraction of molecules as an additionalinformation from FRAP curves. To get accuratequantitative information, the intensity profilesof bleached ROI, as well as an unbleached pos-itive reference ROI on the same membrane, anempty ROI outside of the membrane, and thewhole cell or membrane have to be derived.Then, the recovery should be normalizedaccording to these values (Kenworthy 2007).

Normalized FRAP curves should be fittedto the appropriate models, to get the halftime which is the time required for half ofthe recovery. The simplest fitting is by a singleexponential:

f (t) ¼ A(1� e�tt): (13)

The diffusion coefficient can then be deter-mined as

D ¼ r20g

4t1=2, (14)

where r0 is 1/e2 radius of the Gaussian laserbeam, g is the parameter that depends on thephotobleaching extend varying from 1.0 to 1.2depending on ROI shape, and t1/2 is the half-time. In case of a uniform circular spot ROI,

D ¼ 0:224r2=td: (15)

Many fitting models for diffusion, interactionand reaction have been developed recently,some of which are listed in Table 1.

TIR-FRAP

To measure the diffusion of molecules in amembrane, TIR illumination can be a betteroption than confocal microscopy for the same

Time

Inte

nsity

t1/2t0t < 0

A /2 A

1 – A

Figure 3. FRAP parameters. 0 , t is the time beforethe bleaching, t0 is the time at which bleachingoccurs, t1/2 is the half-life (i.e., the time at A/2), Ais the mobile fraction, and 1 – A is the immobilefraction.

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reasons as listed above. With TIR-FCS, complexbinding-unbinding measurements are possi-ble with high accuracy because of well-definedand background free illumination.

Challenges and Artifacts in FRAP

FRAP is usually implemented in laser scanningconfocal microscopes (LSCMs), thus its abilityis limited by the features of the respective mi-croscope. In FRAP experiments, it is usuallyassumed that all the molecules are bleached atthe same time, and no diffusion happens dur-ing photobleaching. But both assumptions maybe wrong at nonideal settings in an LSCM. Toguarantee proper photobleaching, more thanone scan at high laser power may be needed.However, as the number of scanning cyclesincreases, diffusion into the ROI is nonnegli-gible, especially for fast diffusing molecules.This leads to a wrong initial starting point ofrecovery, and yields a wider and shallowerbleaching profile. In other words, the requiredtime for molecules to recover the bleachedarea appears to be higher. To get rid of this arti-fact, the initial point needs to be calibrated care-fully (Snapp et al. 2003; Weiss 2004).

ROI Size. The shape and the area of theFRAP ROI are crucial for the extraction of diffu-sion coefficients. The ROI size should be muchsmaller than the total size of the sample, to keepthe overall fraction of photobleached moleculesfairly low, not to influence the fluorescenceintensity profile of the sample. Moreover, ROIradius should not exceed 1 mm for Gaussianapproximation to be valid.

Photobleaching Artifacts. During photo-bleaching, many chemical reactions can happenbecause of the high laser power, induced byradical (often reactive oxygen) formation, suchas protein cross linking. This may affect the con-centrations but also the diffusion coefficientnotably. Another effect of high laser power, par-ticularly in the red spectral range, can be a slightlocal temperature rise during photobleaching.Although it has been shown that the tem-perature increase is minor (Axelrod 1977) insolution, it may be important on membranes,specifically at critical temperature points (Hon-ekamp-Smith et al. 2008).

Besides experimental parameters mentionedabove, a proper fitting should be carefully ap-plied (Sprague and McNally 2005).

Applications

The diffusion in native cell membranes has beenaddressed using the FRAP technique since long(Lippincott-Schwartz et al. 2001, 2003). Thefirst studies were performed to see whethermembrane heterogeneity affects the diffusionof proteins in the membrane (Edidin 1992;Jacobson et al. 1995; Feder et al. 1996; Lommerseet al. 2004; Kenworthy 2005; Lagerholm et al.2005), which resulted in anomalous diffusionconcept. In the context of lipid rafts, a continu-ous effort has been made to distinguish betweenthe diffusion of raft and nonraft markers, as wellas to characterize the factors that can influencethe membrane organization, like cholesterol(Niv et al. 1999, 2002; Hao et al. 2001; Kenwor-thy et al. 2004; Rotblat et al. 2004; Goodwin et al.2005; Roy et al. 2005; Meder et al. 2006; Nicolau

Table 1. FRAP fitting models

Type of model Function Reference

Diffusion f (t) ¼ ff 1� w2

w2þ4pDt

� �1=2� �

Ellenberg et al. 1997

Diffusion f (t) ¼ e�tD2t I0

tD

2t

� �þ I1

tD

2t

� �� Soumpasis 1983

Chemical interactiondominant

f (t) ¼ y0 þ Aet1t Phair et al. 2004

Reaction dominant f (t) ¼ 1�Ceqe�koff t Sprague et al. 2004

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et al. 2006; Shvartsman et al. 2006). TIR-FRAPwas applied to calculate the rates of bindingand unbinding of hormones to and from thecell surface (Hellen and Axelrod 1991; Fulbrightand Axelrod 1993).

Fluorescence Correlation Spectroscopy (FCS)

FCS is a method that has been extensively usedand further developed by our group, beingintroduced and established as a very suitableapproach to characterize model and cellularmembranes (Schwille et al. 1999a; Bacia et al.2004). It is, in a way, a single-molecule method,but provides sufficient statistical significanceto also use it for general characterization ofmembranes, mainly through the diffusion prop-erties of their constituents. It is thus relatedto FRAP, but provides several advantages, themost crucial of which is the dramatically im-proved sensitivity, allowing to work at signif-icantly reduced fluorescence labeling densities.FCS has long been used to characterize domain-forming membranes (Korlach et al. 1999), andrecently, by combination with super resolutionillumination (Eggeling et al. 2009), was able toresolve nanometer-sized entrapment sites oflabeled raft-markers. Because of our intensiveefforts on FCS applied to membranes, this tech-nique will be discussed in more detail in thefollowing.

FCS measures small fluorescence intensityfluctuations in a defined volume. It providesaccurate information about diffusion coeffi-cients, concentrations, molecular brightness,intramolecular dynamics, and molecular inter-actions. It has been extensively used for a varietyof biological applications, because of its greatsensitivity. FCS has been combined with manydifferent imaging methods, such as laser scan-ning confocal microscopy, two-photon mi-croscopy, total internal reflection fluorescencemicroscopy, stimulated emission depletionnanoscopy, and others, making it particularlyfeasible for cell biology.

FCS was first established in the 1970s(Magde et al. 1972, 1974, 1978; Elson andMagde 1974) and technically greatly improvedin the following years (Rigler et al. 1993; Eigen

and Rigler 1994). Fluorescence intensity fluc-tuations, primarily addressed by FCS, can becaused by diffusion of the molecules throughthe observation volume, or by reversible bright-ness changes of the molecules because of somechemical or photophysical reactions (Petrovand Schwille 2007). FCS performs the statisticalanalysis of these fluctuations. In other words, itcorrelates a signal at a certain time t with thesame signal after a lag time t þ t, and takesthe temporal average. This correlation can bedescribed as self-similarity of the signal intime, which is represented by the autocorrela-tion function, a temporal decay function ofaverage fluctuations. The basic formula for thefluctuation autocorrelation function is

G tð Þ ¼ kdF tð Þ � dF t þ tð ÞlkF tð Þl2 , (16)

where dF(t) ¼ F(t) 2 kF(t)l is the fluctuationaround the average intensity and k l denotesthe temporal average; t is the lag time. Thedenominator is for normalization.

The basic steps of FCS experiments are asfollows. First, the sample is illuminated by theappropriate illumination technique. Generally,in the simplest representation of FCS, confocalillumination without beam-scanning is used.The fluorescence signal is collected by the objec-tive and detected by sensitive photodetectors,often by avalanche photodiodes (APDs). Afterdetecting the fluorescence intensity for a certaintime, a hardware correlator usually correlatesthe signal from subsequent time points ac-cording to the correlation function mentionedabove, and forms the experimental FCS curve.This correlation step can also be performed ret-rospectively, if data is recorded in small enough(,msec) time bins. Then, the correlation curveas in Equation 16 is fitted by an appropriatefitting model (some listed below) to get thenumerical values of diffusion times, concentra-tions and molecular brightness, or other pa-rameters governing fluctuation decay.

As seen in Figure 4, the amplitude of thecurve is reciprocal to the concentration. Thereason behind this is that for lag time zero,

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G(t) is determined as

G(0) ¼ k dFð Þ2lkFl2 : (17)

For random processes that are governed by Pois-son statistics, the variance is

Var(N) ¼ k dNð Þ2l ¼ N: (18)

Because the fluorescence intensity is directlyproportional to the number of molecules,

kFl ¼ qkNl, (19)

when the intensity is normalized, we get

k dFð Þ2lkFl2 ¼ k dNð Þ2l

kNl2 ¼ kNlkNl2 ¼

1

kNl: (20)

As stated above, the diffusion time and othervariables are obtained from fitting the experi-mental data to the proper model function.From the diffusion time tD, the diffusion coef-ficient can be determined if the diameter ofthe focal volume is known:

tD ¼v2

o

4D: (21)

Here, vo is the beam waist of focal volume (i.e.,the radial distance of the optical axis), and D isthe diffusion coefficient.

Besides the concentration and the diffusiontime, the brightness of the molecule, h, can becalculated. This parameter is quite important

for a good statistical accuracy, and can be usedto assess the quality of FCS measurements ingeneral. However, it can also reflect on the for-mation of higher molecular complexes andaggregates.h is directly proportional to the totalphoton count and to the amplitude of the cor-relation function:

h ¼ kF tð ÞlN¼ kF tð Þl � G(0): (22)

In practice, FCS is quite a complicated and del-icate technique to apply, with many parametersthat have to be taken into account and carefullycontrolled.

† If the concentration of the fluorophores istoo high (.100 nM) the contribution of cor-related photons to the total intensity (or, thestrength of the fluctuations) is only marginal,and precludes their analysis. If the concentra-tion is too low (,1 pM) it gets difficult toregister a molecule in the focal volume dur-ing a sensible measurement time. Back-ground noise dominates the signal. In bothcases, it is difficult to record decent FCScurves.

† Autofluorescence and (scattering) back-ground may always affect the total fluo-rescence intensity, and there should beelaborate corrections for them. Besides, thesample should be kept in a nonautofluo-rescent medium.

APD

Laser

1

0

Pinhole

Diffusingmolecules

Focal volume

t t + τ

τD τ

G (τ) =

G (τ)

N

⟨F (t )⟩2

⟨δF (t ) · δF (t + τ)⟩

Figure 4. Principle of FCS. (Image courtesy of Jonas Ries.)

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† Low laser power should always be used toavoid photobleaching.

† The acquisition time should be long enoughto collect enough photons to correlate, butnot too long to avoid photobleaching.

† Fluorophore selection should be made care-fully; more than other techniques FCS re-quires a high photostability.

The basic steps and tricks to do FCS on liv-ing cells are well described (Kim et al. 2007).

More problems, precautions, and correc-tions will be discussed later.

Fluorescence Cross-CorrelationSpectroscopy (FCCS)

To quantitatively characterize molecular inter-actions is of prime importance for cell andmolecular biologists. Biochemical assays thatare usually employed for this purpose are par-ticularly problematic for molecules embeddedin or attached to cell membranes, because thephysiological environment cannot be closelypreserved in vitro. Video microscopy on fluo-rescently labeled molecules in life cells hashelped to some extent, but often producesambiguous results, because it largely relies onsimple colocalization that does not really probeinteraction, but rather spatial proximity. As thediffraction limit is much larger than a proteinsize, when two proteins are closer than the res-olution of the microscope, it cannot be deter-mined whether they are truly interacting. Amuch better approach is FRET, relying on theradiation-less transfer of excited state energybetween two or more molecules that carry fluo-rescent labels with large spectral overlap. Here,the proximity needs to be in nanometer range,making it much more specific to probe truebinding. FRET will be discussed in detail later.However, the key challenge with FRET is toattach the labels close enough to the bindingsite to yield high transfer efficiency, but farenough apart not to interfere with the binding.Here, a variant of FCS, called fluorescence cross-correlation spectroscopy (FCCS) often providesa valuable alternative.

FCS itself provides detailed information onthe diffusion properties of labeled molecules.To probe binding or interaction of small mole-cules to large ones, or to immobile structuressuch as the cell membrane, the reduction in dif-fusional mobility may provide valuable infor-mation on the binding process. This has in thepast been used to characterize binding eventsby standard one-color FCS (Icenogle and Elson1983a,b). However, this approach breaks downwhen the interaction between molecules of ap-proximately the same size are to be analyzed.Simulations show that for the minimum detect-able difference in diffusion time of a moleculeof at least 1.6-fold, an approximately sixfoldchange in mass is required, as implicitly seenin Equation 12, where the diffusion time is in-versely proportional to the third root of mass(Meseth et al. 1999).

The principle of FCCS is to observe codif-fusion of molecules, rather than colocalization.It can thus be employed to probe any phenom-enon leading to or terminating such a comove-ment (Schwille et al. 1997). Direct interaction,complex formation, but also the clustering ofmolecules in microdomains or nanodomainscan lead to such a codiffusion of two moleculesof separate species. In contrast to standard FCS,the mathematical routine for FCCS is to corre-late the fluorescence fluctuations from the firstchannel at time t with the fluorescence fluctua-tions in the second channel at time t þ t over acertain measurement interval (Fig. 5). Thecross-correlation function Gcc(t) for FCCS isgiven by

Gcc tð Þ ¼ kdF1 tð Þ � dF2 t þ tð ÞlkF1 tð ÞlkF2 tð Þl , (23)

where dF1(t) and dF2(t) are the fluctuations inthe two fluorescence signals, and kF1(t)l andkF2(t)l are the mean intensities.

Scanning FCS (sFCS)

Although FCS is still mostly performed with asteady measurement volume (i.e., a confocalspot parked at a fixed position in solution orin a cell), many modern instruments, par-ticularly combined FCS-LSM modules, feature

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the combination of correlation analysis witha scan beam. Here, the focal volume may bemoving on a line (Petersen 1986; Petersenet al. 1986), a circle in lateral axis (Petrasekand Schwille 2008; Petrasek et al. 2010) or alongz-axis (Benda et al. 2003). The basic principle ofscanning FCS perpendicular to the membraneis shown in Figure 6.

In the line-scan mode, the laser focus movesperpendicularly to an axially aligned membrane(e.g., the side membrane of a giant vesicle).

Because of the scan path being much largerthan the actual intersection with the membrane,the focal spot will only be illuminating (mem-brane-bound) molecules for a small fractionof time. Thus, the recorded time-intensity tracecannot be directly fed into the hardware corre-lator but has to be processed by software toalign the actual membrane intersections, be-fore actually correlating the processed pseudo-real time signal and fitting the data (Ries andSchwille 2006). This procedure, although more

CorrelateSumAlign

Tim

e

Position

CELL

G(τ)

τ

GUV

Figure 6. Principle of sFCS. (Image courtesy of Jonas Ries.)

APD2

AP

D1

Lasers

Dichroic1

Dichroic2

Diffusingmolecules

Scanningunit

Focal volume

t t + τ

Gcc(τ) =⟨F1(t )⟩ ⟨F2(t )⟩

⟨δF1(t ) · δF2(t + τ)⟩

Figure 5. Principle of FCCS. (Image courtesy of Jonas Ries.)

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elaborate than standard FCS, has the enormousadvantage that sample drift or large-scale signaldisturbance by autofluorescent particles can beefficiently suppressed. Although line-scan FCShas many advantages for membrane systems,which are going to be discussed later, it maycause out of focus bleaching, and its time reso-lution is limited by the software processing, ren-dering it unattractive to detect fast diffusingcomponents in solution.

Besides a line scan in the lateral direction,there is an axial scanning approach in whichthe focal volume moves in the z direction,so that it can measure above the membrane,at the membrane and below the membranesequentially (Humpolickova et al. 2006). Be-cause of the laser divergence, the size of theilluminated area above and below the focalplane are larger, rendering the number of mole-cules and the diffusion time higher when mov-ing the focal spot away from the focal plane.Also, the movement is usually performed bystage scanning, with much lower scan speedthan available for lateral scanning, Conse-quently, this z scan is usually performed forother purposes: for example, to calibrate thefocal volume in the z direction or to vary thesize of the illuminated area on the membranewith minimal efforts.

Two-Focus FCS

Another modification of FCS that bears thecharacteristics of cross-correlation is two-focusFCS (or dual focus FCS). It can be implementedwith two fixed confocal volume elements dis-placed with respect to each other at a spatialdistance. This setup simplifies calibration—lessmeasurements of diffusion coefficients (Der-tinger et al. 2007). Spatial cross-correlationwith two focal elements can, however, be con-veniently combined with line scanning, inwhich two identical lines at a known distanced are scanned by two foci simultaneously, oralternately with very high frequency. When thedistance is well known, one can extract auto-correlation curves as well as the spatial crosscorrelation curve between two foci. This modeis quite insensitive to artifacts that originate

from the variations of the focal volume (e.g.,because of different refractive indices withinthe sample [Dertinger et al. 2007; Loman et al.2008]), and therefore particularly suited for cel-lular FCS. This will be discussed later.

TIR-FCS

As mentioned before, TIR illumination pro-vides a great axial resolution, which makes it avery appropriate tool for membrane research.It can also be conveniently combined withFCS on membranes or surfaces in general. Ifthere is a strong background from labeled mol-ecules in the cytosol, or above and below thesurface of interest, selective data processing inscanning FCS or two-focus FCS can only partlyovercome this problem, which usually leads to adecrease in amplitude in the correlation curve.As a much more elegant strategy to eliminatethe background caused by any other moleculesaway from the surface, objective-type TIRF illu-mination combined with standard confocaldetection can be applied (Schwille 2003; Rieset al. 2008).

Two-Photon FCS

To combine FCS with two-photon excitationprovides a number of interesting features andadvantages. First of all, like for standard imaging,it limits cumulative photobleaching in out-of-focus areas, making it preferable for FCS meas-urements on samples with limited dye resourcessuch as small cells and organelles (Schwille andHeinze 2001; Schwille et al. 2009). Two-photonexcitation is, further, the method of choice forsamples of high turbidity or high scattering crosssections, like multicellular systems or cells withthick cell walls. Additional advantages may beprovided by the photophysical properties ofthe dyes, allowing to coexcite and correlate upto three spectrally distinct fluorophores withone two-photon excitation beam (Heinze et al.2000, 2002). Caution has to be applied withregard to the photostability of dyes and the avail-able count rate per molecule, as both seem to besignificantly reduced under two-photon excita-tion (Schwille et al. 1999b).

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Difficulties and Artifacts in FCS Applications

Background. Background can be caused byscattering, autofluorescence, or unwanted fluo-rophores in the sample because of nonspecificlabeling. If the background is truly randomand noncorrelated, a signal can be easilybackground-corrected after the measurementas follows (Petrasek et al. 2010):

gc tð Þ ¼ kFlkFl� B

� �2

g tð Þ, (24)

where gc(t) is corrected nonnormalized correla-tion, g(t) is measured nonnormalized correla-tion, B is background fluorescence measuredon the sample without fluorescent molecules,and kFl is the average intensity.

In case of correlating background, it has tobe added to the fitting functions as a fixed sec-ond component in a two-component modelafter being carefully calibrated.

Membrane Heterogeneities, Blinking, Trip-let, and Photobleaching. FCS usually assumesan equilibrated steady state in the focal volumearound which fluctuations occur randomly.This means that the average count rate shouldnot change over time when recording an FCScurve. In reality, this assumption is very rarelytrue. Many events, above all cumulative photo-bleaching, cause a continuous drop or otherlarge scale drift in the average count rate,

rendering the error-free recording of FCS curvesquite complicated.

In measurements on live cell membranes,membrane undulations constitute the mainproblem. As the membrane may always be mov-ing on a micron scale, the fraction of membraneoccupying the detection volume can changedrastically. This causes an increase or decreasein count rate, and results in major distortionsof the curve, leading to erroneous values forautocorrelation amplitude and diffusion time.

Another cause of severe, although bettercontrollable, distortion of FCS curves is thephotophysical phenomenon of triplet statepopulation, in which the molecules are trappedin a dark state for a few microseconds. Triplet-induced photophysical dynamics may lead towrong fitting of diffusion times, particularly ifthe triplet fraction is high and the diffusiontimes are short (Davis and Shen 2006). Yet,this phenomenon can usually be corrected forin the fitting function, as seen in Table 2. Usu-ally, triple dynamics can be easily distinguishedfrom diffusion because it is independent ofvolume size, but dependent on illuminationpower. It can be easily evidenced as an addi-tional shoulder in the FCS curve on shorttimescales.

Blinking on short timescales does not haveto be of photophysical origin. Several fluoro-phores, particularly fluorescent proteins such asGFP, exhibit excitation independent dark state-bright state transitions which may, however,

Table 2. FCS fitting models

Diffusion type Fitting function

3D diffusion G(t) ¼ 1N 1þ t

tD

� ��11ffiffiffiffiffiffiffiffiffiffiffi

1þw20

ttD

p2D diffusion G(t) ¼ 1

N 1þ ttD

� ��1

2D diffusion for elliptical Gaussian profile G(t) ¼ 1N 1þ t

tD

� ��1=21ffiffiffiffiffiffiffiffiffiffi

1þ t

S2tD

p2D diffusion with triplet GTr(t) ¼ G(t) 1þ T 1� Tð Þ�1exp �t

tTr

� �h i

2D diffusion with blinking GB(t) ¼ G(t) 1þ Cdark

Cbrighte�kblt

� �

2D diffusion with two-component G2C(t) ¼ 1

Ntot

q21Y1G1(t)þ q2

2Y2G2(t)

q1Y1 þ q2Y2

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be dependent on pH or ionic strength of thesolution (Haupts et al. 1998). After carefulcalibration, this can be incorporated into thefitting function in the same way as the tripletdynamics (Table 2).

A more severe problem for FCS is dye pho-tobleaching, as it not only leads to signal loss,but also compromises the determination ofconcentrations and diffusion coefficients, thekey parameters in FCS applications. At toohigh illumination intensities, molecules willnot stay fluorescent during their full diffusionpath through the detection volume, but willbe destroyed before leaving it again, leading toerroneously low diffusion times, and an overes-timation of diffusion coefficients. In living cells,there is an additional problem with immobilefluorophores being unavoidably bleached dur-ing the measurements and leading to a drift inthe overall count rate. To prevent this effectfrom destroying the correlation curve duringreal-time recordings, a prebleaching is usuallyperformed. Although photobleaching can beusually diagnosed by decay in count rate, itseffect is not necessarily visible on first sight,because an equilibrium state may be reachedbetween bleaching and continuous supply ofnew fluorophores. To rule out photobleaching-induced artifacts in general, a laser power seriesof FCS measurements from minimum to amoderate power should be recorded. Only forpower levels that do not show a change in thecurve parameters, compared to very low powermeasurements, the intensity can be assumedsafe (Dittrich and Schwille 2001; Delon et al.2004). This “safe intensity” is, however, dramat-ically dependent on the diffusion characteristicsof the labeled molecules (lower intensitiesrequired for slower molecules), and cannot justbe inferred from pure dye measurements.

For measurements on extremely slow par-ticles, scanning FCS as explained above representsan efficient solution to avoid photobleaching-induced artifacts, because the laser is not con-tinuously exciting the same spot, reducing theinteraction time with a specific region.

Detector Dead Time and Saturation. When aphoton hits the APD detector, it creates an

avalanche of electrons to amplify the signal.Before the next photon can be registered, thereis a short interval of �100 nsec, called thedead time of the detector. Events occurring onshorter scales than the dead time cannot beresolved. Sometimes, the detection of a singlephoton triggers the APD chip to create a secondcascade during the dead time, the so-called“afterpulsing,” which is an artifactual event,but highly correlated with the first one. As aresult, a peak in the correlation curve is ob-served at very short timescales. The simplestsolution for this (usually hardware-induced)problem is to split the light into two detectionchannels and record the cross-correlation be-tween them. Cross-correlation does not includethis after-pulsing peak because it is a hardware-induced phenomenon in only one of thedetectors.

There is a photon count limit for the detec-tor that it can process at a time. Above this value,electronic saturation occurs, which has a similareffect as optical saturation in the sample. Opti-cal saturation happens when most of the mole-cules in the focal volume are not in the groundstate, instead in excited state or triplet state. Thiseffect usually leads to an enlarged focal volumeand results in a slower decay of the correlationfunction (Gregor et al. 2005; Humpolickovaet al. 2009). It should be ruled out in the sameway as for photobleaching, by recording a laserpower series and staying well below the intensityat which the curves change their shape.

Focal Volume Geometry and Positioning.The probe volume (composed of illuminationby the laser and detection via the pinhole) isusually approximated as a 3D Gaussian profile.In one photon excitation, slightly underfillingthe back aperture of the objective is a goodway to satisfy this approximation. Overfillingthe aperture to yield better excitation efficien-cies, on the other hand, will for one-photonexcitation result in diffraction fringes of theback aperture itself. This non-Gaussian volumeis prone to produce artifacts in diffusion time,which may be misunderstood and taken as asecond species or kinetics (Hess and Webb2002).

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There are several additional factors, likeoptical aberrations, that distort the geometry(shape or size) of the focal volume from theGaussian profile.

Refractive index mismatch could be acommon problem when dealing with cells, inwhich refractive indices vary from 1.33 to1.38. When there is a mismatch between theimmersion liquid, glass, and the sample, aber-rations occur which cause a larger detectionvolume than assumed by the fitting model.This results in larger diffusion times and lowerdiffusion coefficients than the real values. Sim-ilar to this, displacement of the pinhole alongthe optical axis leads to larger detection vol-umes and larger diffusion times. Coverslipthickness also affects the focal volume. Objec-tives are usually designed for a certain range ofcoverslip thickness that has to be adjustedexactly. Deviations from the correct value againresult in a larger detection area and underesti-mated diffusion coefficients (Enderlein et al.2004, 2005).

Artifacts caused by refractive index mis-match, pinhole misalignment, or coverslipthickness affect the control experiments in thesame way as the measurements, such that theratio of control over sample is still correct.If absolute values are to be obtained and theoptical system cannot be easily corrected, two-focus FCS provides a good solution to avoidproblems with detection volume deformations.Two-focus FCS is insensitive to refractive indexmismatch, cover-slide thickness variation, andoptical saturation. Therefore, it happens to bea focal volume-calibration free technique foraccurate dynamics measurements (Dertingeret al. 2007; Loman et al. 2008).

Correct axial positioning of the detectionvolume is crucial for membrane analysis. Ifthe center of the focal volume is not exactly onthe membrane, the divergent laser beam illumi-nates a bigger area of the membrane, mimickinga higher concentration (through the reducedcount rate and higher occupation number) anda smaller diffusion coefficient. To minimizethis artifact, the count rate should be maxi-mized when adjusting the z position. For amore decisive solution, positioning-calibration

free FCS variants like scanning FCS or z-scanFCS should be used.

Specific Artifacts in FCCS. One of the mostcrucial tasks for dual-color cross-correlation isthe careful determination of measurement vol-umes. Because of the different wavelengths, theAiry disc sizes for the two detection channelsvary in proportion to their wavelength. Conse-quently, in most FCCS instruments, the focalvolumes do usually not completely overlap,even after eliminating all aberrations (Weide-mann et al. 2002). For quantitative FCCS, thisrequires intensive calibration measurements(Schwille et al. 1997) (e.g., by using a “gold stan-dard” of up to 100% cross-correlation [like astrong receptor-ligand or dsDNA] and compar-ing the experimental results with this reference).

One of the biggest problems in most opticalsystems featuring multicolor applications isspectral cross talk. FCCS is particularly proneto producing false positive results because ofthe cross talk induced by the leakage of the greendyes’s emission into the red dyes’ detection chan-nel. In that case, the autocorrelation between thered and green spectral parts of the green dyeresults in false positive cross correlation.

As for other artifacts, cross talk can be takencare of by careful calibration. The cross talkcoefficient of any fluorophore kx can be easilycalculated by measuring the fluorescence simul-taneously in both channels. This coefficient isspecific for a particular set of optics (dichroics,filters, etc.):

kx ¼ Fr=Fg, (25)

where Fr is the fluorescence intensity in the redchannel, and Fg is the fluorescence intensity ofthe same fluorophore in the green channel.

Cross-correlation can be corrected accord-ing to this coefficient in measurements withtwo fluorophores:

GCC tð Þ ¼FgFrGrg tð Þ � kxF2

g Gg tð ÞFg Fr � kxFg

� � : (26)

In cases where cross talk constitutes a sub-stantial portion of the fluorescence signal inthe red channel, as is the case for most

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combinations using fluorescent proteins (be-cause of the limited availability of far red-emitting FPs), it may be more appropriate toeliminate cross talk already in the measure-ments, rather than correcting for it retrospec-tively. Here, alternating excitation schemeshave proven to be very powerful. The bestknown scheme for FCS is pulsed interleavedexcitation (Mueller et al. 2005; Sohn et al.2010), and alternating excitation may also easilybe combined with scanning FCS (Ries et al.2009a).

FCS Applications on Membrane Dynamics

Over the last decade, FCS has been establishedas an extremely attractive tool for in vivo (Mutzeet al. 2009) studies and on model membranesystems (Kahya and Schwille 2006a). Thus, lipidbiology has widely exploited this technique.FCS experiments have been designed andappropriate models have been developed todistinguish free diffusion from diffusion inmicrodomains and meshwork structures innative membranes (Wawrezinieck et al. 2005;Lenne et al. 2006; Wenger et al. 2007). Therehave been many studies on phase separatedmodel membranes, supported or free-standing,to determine the diffusion characteristics of lip-ids in different phases (Chiantia et al. 2008,2009; Lingwood et al. 2008; Garcıa-Saez andSchwille 2010; Garcıa-Saez et al. 2010). It hasbeen shown that the diffusion coefficient isinfluenced by environmental conditions suchas ionic strength or sugar content of themedium (Bockmann et al. 2003; Sum et al.2003; Doeven et al. 2005; van den Bogaartet al. 2007; Guo et al. 2008; Vacha et al. 2009).The role of cholesterol in membrane organiza-tion, a big issue in lipid biology, has been inten-sively addressed by FCS (Scherfeld et al. 2003;Bacia et al. 2004, 2005; Kahya and Schwile2006b). Markers for more ordered lipid envi-ronments, such as sphingomyelin and ceram-ide, were other important molecules to bestudied (Chiantia et al. 2007, 2008; Eggelinget al. 2009). Other membrane-dependent proc-esses were also successfully investigated by FCS.For instance, the interaction of morphogen Fgf8

with its receptors on the cell surface in livingembryos has been quantitatively determinedby using scanning FCCS (Ries et al. 2009a; SRYu e al. 2009). Another derivative of scanningFCS–line-scan FCS–was developed to addressthe questions related to membrane dynamics(Ries et al. 2009b). Moreover, reconstituted pro-tein–protein interactions on GUV membraneswere monitored by using FCCS. For example,active tBID and BCLXLDCt proteins were foundto interact, and it was shown that membranepromotes their interaction (Fig. 7) (Garcıa-Saezet al. 2009). In another example, helix–helixinteraction was shown for trans-membrane do-mains using giant plasma membrane spheres byscanning FCCS (Worch et al. 2010).

The applications of FCS in lipid cell biologyhave been elaborately reviewed elsewhere (Mac-han and Hof 2010).

A Comparison between FRAP and FCSfor Lateral Diffusion

As seen above, FRAP and FCS are alternativemethods to measure lateral diffusion of mole-cules. Although their specific strengths andshortcomings have been briefly mentioned, adirect comparison may still be helpful forchoosing the right technique for a particularexperiment.

First, FRAP usually requires higher con-centrations than does FCS. Numerically,approximately 100 labeled molecules shouldbe on 1 mm2 to obtain a reliable FRAP curve(Wolf 1989), and with increasing concentra-tions, the signal-noise ratio can be improved.In contrast, the FCS curve deteriorates withincreasing concentration. One labeled moleculein the detection volume of 0.5 fL (which isalmost 20 times less than probed by FRAP) isusually sufficient to record a decent FCS curve.FCS has a much better temporal resolutiondown to submicroseconds, thus can resolvevery fast diffusions (Gordon et al. 1995).On the other hand, FCS is not well suited toanalyze slow diffusion, which is quite vulner-able to photobleaching. The high temporal res-olution makes FCS also much more susceptibleto sample-induced noise, such as membrane

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undulations, or autofluorescent objects floatingaround. However, FCS derivatives like scanningFCS can overcome these problems to someextent, still preserving the high sensitivity andprecision of the method. The main issue aboutFRAP seems to be the high laser power whichmay easily destroy the living sample and changethe dynamics of the molecular system. Finally,FRAP gives information about immobile frac-tions whereas FCS cannot.

Forster Resonance Energy Transfer (FRET)

FRET is not really a technique, but rather a well-established photophysical phenomenon used tomonitor molecular dynamics and interactionsdown to the single-molecule level. The ideabehind FRET was first proposed by Theodor

Forster in 1948 (Forster 1948). The mechanismis based on the energy transfer of an excited flu-orescent donor molecule to an acceptor mole-cule in a nonradiative fashion when they are inclose proximity (10–100 A).

The energy transfer not only depends on thedistance between donor and acceptor, but alsoon the spectral properties of the dyes and therelative orientation of their transition dipolemoments. The rate (kt) and the efficiency (E)of the energy transfer in FRET are given by

kt ¼1

tD(R0=r)6, (27)

E ¼ 1

1þ r=R0ð Þ6, (28)

1E-3 10.1 100.01

τ (msec)

0.0

0.1

0.2

0.3

0.4

0.5

0.6

G(τ

)

tBID/BCLXLBCLXL

tBID

SolutionA B

C D

10 1,000 10,000100

τ (msec)

0.00

0.01

0.02

0.03

0.04

G(τ

)

Membrane

tBID/BCLXL

BCLXL

tBID

tBID/BCLX

tBID

100

80

60

40

20

0

CC

(%

)

10 100

[tBIDred] (molec μm–2)

Membrane

1 10

[tBIDred] (molec μm–3)

30

25

20

15

10

5

0

CC

(%

)

Solution

Figure 7. Stimulation of tBID and BCLXLDCt intereaction by membrane. Cross-correlation in solution isaffected by concentration (A, C), whereas it is not changing and always higher in membrane (B, D). (Image cour-tesy of Ana Garcıa-Saez.)

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where tD is the donor lifetime in the absence ofacceptor, r is the spatial distance between donorand acceptor, and R0 is the Forster distance ofthe donor/acceptor pair, which is the distanceat which the energy transfer efficiency is 50%.As seen, FRETefficiency highly depends on R0,which is given by

R0 ¼9000QD ln 10ð Þk2J(l)

128p5n4NA

� �1=6

, (29)

where QD is the quantum yield of the donor inthe absence of the acceptor, k2 is the dipoleorientation factor, n is the refractive index ofthe medium, NA is Avogadro’s number, and Jis the spectral overlap between the emissionspectrum of the donor and the absorption spec-trum of the acceptor (Fig. 8). J is calculated as

J(l) ¼ð

fD lð Þ1A lð Þl4dl, (30)

where fD is the normalized donor emissionspectrum, and 1A is the acceptor molar extinc-tion coefficient.

The dipole orientation factor k2 is oftenassumed to be 2/3, which is valid when theacceptor and donor molecules are freely rotat-ing, and considered to be isotropically orientedduring the excited state lifetime. If the donorand acceptor molecules are not free to rotate,then this assumption is not valid anymore. Inmost cases, however, even modest reorientation

of donor and acceptor molecules results inenough orientational averaging that k2 ¼ 2/3does not result in a large error in the estimatedenergy transfer distance, because of the sixth-root dependence of R0 on k2. Even when k2 isquite different from 2/3 the error can be associ-ated with a shift in R0, and thus, determinationsof changes in relative distance for a particularsystem are still valid. Fluorescent proteins, forexample, do not reorient on a timescale that isfaster than their fluorescence lifetime. In thiscase, 0 � k2 � 4 is a valid approximation.

There are several ways to detect FRET.Acceptor emission can be detected on donorexcitation (Gordon et al. 1998). Because theenergy is transferred to the acceptor from thedonor, the emission intensity of acceptor isexpected to increase on donor excitation. Al-ternatively, the emission of the donor can beobserved while photobleaching the acceptormolecule (Jovin and Arndtjovin 1989; Kenwor-thy and Edidin 1998; Wouters et al. 1998).When the acceptor is optically saturated, theexcitation energy of the donor molecule is nolonger used by the acceptor molecule, suchthat the emission intensity of donor moleculeincreases on acceptor photobleaching, directlyproportional to the FRET rate.

Besides the fluorescence intensity measure-ments mentioned above, the fluorescence lifetime of the donor can be also measured. FLIM-FRET is a technique to detect the decrease in the

J(λ)

A B

S1

GS

kt

GS: Ground stateS1: First singlet statekt: Energy transfer rate

A: Donor emissionB: Acceptor absorptionJ(λ): Spectral overlap

Donor excitationVibrational relaxationNonradiative relaxationDonor emissionAcceptor excitationAcceptor emission

Figure 8. Principle of FRET.

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donor’s fluorescence lifetime on energy transfer(Gadella and Jovin 1995; Bastiaens and Squire1999). This method is quite insensitive tomany artifacts which are going to be discussedlater, but its main disadvantage is the moreinvolved instrumental setup required to detecton nanosecond timescales. FLIM-FRETappearsto be more vulnerable to some artifacts causedby pH, temperature, and ionic strength of themedium, as these factors modify fluorescencelifetimes. However, with the proper controls,this method seems to be the most reliable oneamong others.

Fluorescence lifetime analysis can be per-formed in two ways, in time domain and infrequency domain. In the time domainapproach, very short (picoseconds to femtosec-onds) excitation pulses are used to excite thesample, and the lifetime is measured by collect-ing the resulting photons over time between thepulses, one by one. On the other hand, sinusoi-dally modulated light is used to excite the fluo-rophores in frequency domain. The emission isalso sinusoidally modulated at the same fre-quency as the excitation, but there is a phaseshift and reduction in the modulation depth,from which the fluorescence lifetime can bederived.

FRET can also be detected by fluorescenceanisotropy (Runnels and Scarlata 1995; Gautieret al. 2001; Clayton et al. 2002; Lidke et al. 2003)which uses linearly polarized light to detect theorientation of the molecules. When there is noenergy transfer, the orientation of excited mol-ecule is highly correlated with the orientation ofthe emitting molecule. However, when there isFRET, the emitting molecules are not only theexcited donors but also the acceptors, suchthat the correlation between the orientationsof these two components will decrease remark-ably. This method has a unique property to alsodetermine FRET between identical molecules(so-called homo-FRET) which is very crucialin dimerization or oligomerization studies(Bader et al. 2009).

The FRET pair selection is an importantissue. Theoretically, pairs are selected based onthe spectral overlap criterion discussed above.The closer the spatial distance at closest

proximity is expected to be, the larger the spec-tra may vary. Clearly, detection efficiency ismaximized and cross talk minimized for spec-trally more distinct probes. The most popularFRET pairs at present are GFP-RFP, CFP-YFP,BFP-GFP, GFP-mCherry for genetically modi-fied proteins. There are also several classicalFRET pairs based on chemical dyes, such asCy3-Cy5 and Alexa488-Cy3. More FRET pairsand their properties can be found elsewhere(Sahoo et al. 2007).

Difficulties and Delicacy

In spite of its attractiveness of being a very intui-tive technique with in principle rather straight-forward experimental design and readout,FRET in praxis has many caveats to be consid-ered carefully, some which are mentioned below.

To get reliable FRET results, spectral crosstalk needs to be minimized. When the acceptorfluorescence intensity is used to assess FRETefficiency, spectral contamination always hasto be corrected to some extent. Two major sour-ces of this spectral contamination are the directexcitation of the acceptor, and the leakage ofdonor emission into the acceptor detectionchannel. As mentioned above, there is always atrade-off between minimal cross talk and agood spectral overlap factor J. The simplestway to correct for spectral contamination is totest the FRET signal in combinations of onlyacceptor, only donor and donor/acceptor com-bination, both with acceptor excitation anddonor excitation.

Photoconversion is another problem oftenencountered with fluorescent proteins. Undercertain conditions, emission spectra may changewith time (e.g., on high laser power excitation)or sometimes spontaneously as a result of pro-tein maturation. This is critical in FRET meas-urements, particularly when photobleaching isused as readout. It has been shown that on pho-tobleaching of acceptor YFP, CFP-like emissionis created without any FRET (Kirber et al. 2007).

Fluorescence lifetime-based FRET detec-tion is insensitive to many of these problemsas the life time is usually independent of ex-citation intensity. On the other hand, the big

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practical advantage of FRETas a straightforwardand intuitive method to complement imaging isalso lost, and the instrumentation gets muchmore involved.

The interactions of donor or acceptor mol-ecules with other components in the mediumshould be carefully tested. If there is an un-wanted binding of one or both to other mole-cules, this can produce positive and falsenegative results. Other problems may arisefrom too complicated stoichiometry (van denBogaart et al. 2007) and the impossibility toattach fluorescent tags close enough to theinteraction region (Miyawaki and Tsien 2000).

As for other fluorescence techniques, pho-tobleaching should be avoided, as it usuallychanges the molecular ratio of donor and ac-ceptor, resulting in artifacts of FRET efficiency.The donor should be particularly photostablelong enough to transfer its energy. It shouldalso exhibit low polarization anisotropy to elim-inate the k2 deviations.

The brightness of donor and acceptorshould ideally be comparable, otherwise result-ing in saturation in one channel, or enhancednoise in the other channel due (Piston andKremers 2007).

Applications of FRET in Lipid Biology

Being such a powerful tool to detect dynamicmolecular interaction, FRET has had a strongimpact on membrane and lipid research. Partic-ularly, lipid/protein clusters in membranes areinteresting topics of study, and there are manyapplications of FRET in this context. It hasbeen shown that GPI-anchored proteins areenriched in cholesterol-dependent clusters,whereas some putative nonraft proteins arenot. Cross-linking of GPI-anchored proteinsaffects the protein distribution on the mem-brane and their endocytosis, which highlightsthe role of immobile, actin-driven nanoclustersin the membrane (Varma and Mayor 1998;Sharma et al. 2004; Goswami et al. 2008). How-ever, there are also some contradicting reportson similar systems, proposing that there areno functional clusters in the cell membrane(Kenworthy and Edidin 1999; Kenworthy et al.

2000; Glebov and Nichols 2004). FLIM-FRETwas used to detect the effect of cholesteroldepletion on lipid order (Grant et al. 2007) aswell as dynamic protein–lipid interactions inlive cells (Larijani et al. 2003). TIR-FRET wasused to visualize protein–protein interactionson cell membranes and insulin secreting cells(Lam et al. 2010; Sohn et al. 2010). Two-photonFRET was applied to visualize protein–proteincolocalization (Mills et al. 2003) and free versusclustered receptor–ligand complexes in themembrane (Wallrabe et al. 2003).

Single-Particle Tracking (SPT)

As discussed above, information on the diffu-sion of molecules in a membrane can usuallybe obtained by either FRAP or FCS. However,there are certain disadvantages to both tech-niques. The lateral resolution of both tech-niques is limited by the diffraction barrier.Additionally, both techniques have to averageover many molecular events to obtain a reliablediffusion time. This averaging, however, maskspotential heterogeneities in the diffusion char-acteristics, induced by, for example, molecularinteractions or a heterogeneous membraneenvironment. Therefore, a technique providingaccess to the randomly distributed tracks ofindividual particles is greatly desirable. Withthe possibility of resolving single molecules,the spatial precision at which lateral detectioncan be performed is only determined by thenumber of photons it takes to compute a spot-like image, which can then be fitted with apoint-spread function to determine its geomet-rical center (Toprak et al. 2007).

This approach, which has in past yearsgained tremendous impact because of the avail-ability of extremely sensitive charge-coupleddevice (CCD) cameras, is known under thename of single-particle tracking (SPT). Theunderlying idea is that single particles or evenmolecules are followed by computer-enhancedvideo microscopy with a spatial resolution oftens of nanometers and a temporal resolutionof tens of milliseconds. Thus, it is a suitabletechnique to investigate the diffusion character-istics of lipid or membrane-attached proteins,

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as well as factors influencing lipid dynamics andmembrane order.

The first SPT experiment was performed in1982 by Barak and Webb to follow the lipopro-tein receptor (Barak and Webb 1982). Then,nanovid microscopy was developed, in whichmolecules are labeled with gold nanoparticleswhich can be more easily tracked by wide-fieldmicroscopy (Debrabander et al. 1985, 1991).The technique was further improved in termsof resolution in later years (Schnapp et al.1988; Sheetz and Kuo 1993). A large body ofwork on imaging and tracking of single lipidmolecules on artificial and cell membraneswas further catalyzed by the work by Schutzet al. (1997). Later on, the technique was furtherdeveloped by to track the particles 3D with dif-ferent strategies (Digman and Gratton 2009;Katayama et al. 2009; Ragan et al. 2006).

The idea behind the technique is to followthe single-molecule movement over time, recordit as trajectories and analyze these trajectoriesaccording to the diffusion theory. The main wayto analyze the trajectories is to calculate themean square displacement (MSD) defined as

MSD(t)¼ k x tð Þ�x tþ tð Þð Þ2þ y tð Þ�y tþ tð Þð Þ2

þ z tð Þ�z tþ tð Þð Þ2l, (31)

where x, y, and z are the coordinates of the par-ticles, t is the lag time, and k l represents the tem-poral averaging.

The MSD represents the average distancethat the molecule travels during the lag timeand is thus directly related to the local mobilityof the molecule. Once the trajectories arerecorded and the MSD is obtained experimen-tally, it can be compared with theoretical mod-els as listed in Table 3.

Of particular importance in membranes areusually the cases of subdiffusion or confineddiffusion, which can be induced by corrallingof the diffusing molecules in domains, or anyother interactions slowing them down locally.To resolve the dynamics of small local con-straints, one trajectory can be divided into dif-ferent parts, to display the changes in mobilityover time.

Instrumentally, SPT can be performed by reg-ular wide-field microscopy, as well as confocal,two-photon, and TIRF. The selection of the illu-mination method depends on the application.

Different labels can be used in SPT, accordingto the nature of the experiment and the temporaland spatial scales to be observed. Usually, the spa-tial precision scales with the signal-to-noise ratiothat can be reached, but bright probes such asnanoparticles and beads have to be used withcare, as they might also influence the mobilityof molecules. The most commonly used labelsare gold nanoparticles, quantum dots, and fluo-rescent microspheres. The most convenient wayof labeling is to conjugate the probes with anti-bodies or adaptor proteins which specifically tar-get the molecule of interest.

After the particle location is accuratelydetermined in x–y or x–y–z (Levi and Gratton2007), different algorithms can be applied toacquire the full trajectories. The basic algo-rithms are cross-correlating subsequent images(Gelles et al. 1988; Kusumi et al. 1993), calculat-ing the center-of-mass of the labeled object(Lee et al. 1991; Ghosh and Webb 1994), ordirectly fitting the image to a Gaussian distribu-tion (Anderson et al. 1992; Schutz et al. 1997).The correlation method compares the imagewith the Kernel of the successive image. Thismethod gives the best performance at lowsignal-to-noise ratios. The centroid (center-of-mass) algorithm compares the center of massof two subsequent images to determine thedistance the molecule has travelled in between.A Gaussian fit algorithm directly fits the imageof the object to a 2D Gaussian distribution

Table 3. SPT fitting models

Type of diffusion Model

3D free diffusion 6Dt3D anomalous subdiffusion 6Dta

3D diffusion with directedmotion

6Dt þ (Vt)2

2D free diffusion 4Dt2D anomalous subdiffusion 4Dta

2D diffusion with directedmotion

4Dt þ (Vt)2

2D corralled motion r (12A1e(4A2Dt/r))

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(as an approximation of the PSF):

G(x, y) ¼ A exp � x � x0ð Þ2þ y � y0ð Þ2

B

" #:

(32)

This algorithm shows the greatest performancewhen the object is of subwavelength size.A detailed comparison of these algorithms,their potential problems, and performancescan be found in Cheezum et al. (2001). Thereare also algorithms available which combinethe correlation and Gaussian fit algorithms(Levi et al. 2006a,b).

Difficulties and Delicacy

There are many aspects to be taken into accountto perform meaningful SPT analysis.

First, when using fluorescent probes ratherthan nanoparticles or beads, photodamageshould be minimized. SPT requires a long timeto record the trajectories. Therefore, photo-bleaching can be an important issue. The photo-stability of quantum dots or fluorescent beads isusually quite high, but when fluorescent lipidanalogs or fluorescent proteins are used, theintensity has to be much reduced, limiting thespatial resolution. A very important strategy isto illuminate only while recording the photons,and shutting the laser during camera readout(i.e., frame transfer to the data storage).

A big argument in the SPT field is the effectof large labels on molecular motion. When abead or nanoparticle is attached to small mole-cules such as lipids, the diffusion characteristicsmay change dramatically. Moreover, linkers toattach the label to the molecule can also be prob-lematic. Generally, short linkers and small labelsare desirable. Detailed work on this issue can befound in the literature (Dahan et al. 2003).

The determination of particle location is themost crucial aspect in SPT, and much work hasbeen devoted to maximize the spatial precision.The accuracy of the spatial coordinates was inthe last years improved drastically, down to1.5 nm in recent studies (Yildiz et al. 2003,2004a,b).

The tracking software must be sensitiveto the particle brightness changes, because of

changes in the particle location with respect tothe focal plane. This effect can also be used torecord z coordinates with moderate precision(Levi et al. 2005; Ragan et al. 2006). Needlessto say, cameras should be fast and sensitiveenough to catch the single-molecule signal.

The trajectory algorithm should be carefullychosen, taking all the advantages and disadvan-tages into consideration. The Gaussian fit algo-rithm, for instance, seems easy and robust toapply, but it just uses the brightest point as thecenter and does not take the topographicalstructure into account. Therefore, it may resultin wrong results depending on the moleculetopology (Cheezum et al. 2001).

The lag time t used to record the MSD isalso an important variable. It is supposed tobe lower than one-fourth of the total trajectorytime (Saxton and Jacobson 1997).

Scattering or autofluorescence backgroundis usually quite low, but it decreases the localiza-tion accuracy of SPT. It is more dominant whenthe centroid algorithm is used, because center-of-mass is biased notably by the background(Cheezum et al. 2001; Levi and Gratton 2007).

Applications

SPT hfas been applied successfully to investigatedifferent diffusion mechanisms and establishthe models for active transport, free diffusion,anomalous diffusion, and confined diffusion,as seen in Figure 9 and Table 3 (Saxton 1994a,b,

MS

D

a

b

c

d

τ

Figure 9. SPT models. (a) Active transport, (b) freediffusion, (c) anomalous diffusion, and (d) confineddiffusion.

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1995, 1996a,b, 1997; Saxton and Jacobson1997). Lipid diffusion is found to be highlyrestricted in native plasma membranes, unlikein liposomes, highlighting the role of cytoskele-ton in membrane dynamics (Kusumi et al.2005). Another diffusion type was describedaccording to these observations, called hopdiffusion. It is claimed that both lipids andtrans-membrane proteins diffuse in small com-partments whose boundaries were mostly deter-mined by cytoskeleton of the cell until theychange the compartment by hop diffusion(Tomishige et al. 1998). Although there aremany studies claiming that saturated lipidsand GPI-anchored proteins show confined dif-fusion on cell membrane on islands of 80 nmand 700 nm in size (Schutz et al. 2000; Lenneet al. 2006; Wenger et al. 2007), some otherSPT studies has recently claimed that thediffusion of saturated and unsaturated lipidsis not different in cell membrane, which canbe because of very small size (,16 nm) orvery fast association/dissociation of the rafts.Recently, two-color SPT (Dunne et al. 2009)and micropatterning (Schwarzenbacher et al.2008) was established to visualize the colocaliza-tion on a single-molecule level. A concise sum-mary on many applications can be foundelsewhere (Saxton and Jacaobson 1997; Leviand Gratton 2007).

ACKNOWLEDGMENTS

We would like to thank Senthil Arumugan,Fabian Heinemann, Grzegorz Chwastek, andHarekrushna Sahoo for their careful readingof and valuable comments on the manuscript.

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published online June 13, 2011Cold Spring Harb Perspect Biol  Erdinc Sezgin and Petra Schwille Fluorescence Techniques to Study Lipid Dynamics

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