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Modern biochemistry and molecular biology have served to identify hundreds of pairs of cellular proteins that are in vitro capable of interacting with each other. These protein–protein interactions are crucial in both maintaining the stable "resting" state of cells and in driving activation processes that allow cells to respond to external stimuli. Hence it becomes more and more important to be able to detect such interactions in situ inside or on the surface of cells. Fluorescence techniques are widely used to quantify molecular parameters of various biochemical and biological processes in vivo because of their inherent sensitivity, specificity, and temporal resolution. Combination of fluorescence spectroscopy with flow cytometry provided a solid basis of rapid and continuous improvements of these technologies. A major asset in studying molecular level interactions was the application of fluorescence resonance energy transfer (FRET) to cellular systems. Applying fluorescent-labeled antibodies, proteins, lipids, or other biomolecules either using organic dyes or fluorescent fusion proteins, the FRET technique can be used to determine inter- and intramolecular distances of cell surface components in biological membranes, as well as molecular associations inside live or intact cells. Excellent reviews are available on the applicability of FRET to biological systems as well as descriptions and comparison of various approaches. Only a few are quoted here.
FRET is a special phenomenon in fluorescence spectroscopy during which energy is nonradiatively transferred from an excited donor molecule to an acceptor molecule. For the process to occur, a set of conditions have to be fulfilled:
1. The emission spectrum of the donor has to overlap with the excitation spectrum of the acceptor. The larger the overlap, the higher the rate of FRET is.
Figure 1. FRET basics.
2. The emission dipole vector of the donor and the absorption dipole vector of the acceptor need to be close to parallel. The rate of FRET decreases as the angle between the two vectors increases. In biological situations where molecules are free to move (rotate), we generally assume that dynamic averaging takes place, i.e., the donor and the acceptor assume many possible steric positions during the excited-state lifetime of the donor, among them positions that can yield an effective transfer of energy. There are cases when the aforementioned assumption of dynamic averaging is most likely correct (e.g., antibodies labeled by fluorescent dyes bound to the antibody via flexible linkers); however, in some cases, it is certainly incorrect (e.g., fluorescent dyes intercalated into DNA). FRET taking place between proteins tagged by GFP (green fluorescent protein) or its derivatives represents an intermediate case in which the assumption of dynamic averaging is a relatively good approximation.
3. The distance between the donor and acceptor should be between 1 and 10nm.
This latter phenomenon is the basis of the popularity of FRET in biology: The distance over which FRET occurs is small enough to characterize the proximity of possibly interacting molecules; under special circumstances, it even provides quantitative data on exact distances and, additionally, information on the spatial orientation of molecules or their domains. Hence the very apropos term from Stryer, who equaled FRET to a "spectroscopic ruler". The usual term for characterizing the efficiency of FRET is E, which is the ratio of excited-state donor molecules relaxing by FRET to the total number of excited donors. The rate of the energy transfer process is dependent on the negative sixth power of the distance between the donor and the acceptor, resulting in a sharply dropping curve, practically eliminating FRET above a separation of 10 nm for the usual fluorophores. Conversely, as the distance reaches values below 1 nm, strong ground-state interactions or transfer by exchange interactions become dominant at the expense of FRET.
The occurrence of FRET has profound consequences on the fluorescence properties of both the donor and the acceptor. An additional de-excitation process is introduced in the donor, which decreases the fluorescence lifetime and the quantum efficiency of the donor, rendering it less fluorescent. The decrease in donor fluorescence (often termed donor quenching) can be one of the most facilely measured spectroscopic characteristics that indicates the occurrence of FRET. Additionally, since the acceptor is excited as a result of FRET, those acceptors that are fluorescent will emit photons (proportional to their quantum efficiency) also when FRET occurs. This is called sensitized emission and can also be a good measure of FRET.
Flow cytometric FRET (FCET) methods that can be implemented on commercial flow cytometers exploit one or both of these phenomena. The main advantage of the flow cytometric approach is the ability to examine large cell populations in a short time, and still provide FRET efficiency values up to single-cell resolution (albeit averaged over each cell). In a simplified scenario, population averages from the flow cytometer can be used to estimate an overall FRET efficiency for the whole cell population measured. While in theory there are at least 22 different possible approaches to quantifying FRET, some of these have never been tested, and many require a (usually microscope-based) system where cells or their compartments can be revisited once or several times for completing the measurement. Among the eight approaches applicable to flow cytometry, most require extensive modification of the equipment. Most of these methods are based on the measurement of conventional hetero-FRET in which spectroscopically different donor and acceptor molecules interact with each other. However, there is another modality of FRET interactions which takes place between identical fluorophores, i.e., the donor and acceptor molecules are of the same kind. The only manifestation of the phenomenon called homo-FRET is the decreased fluorescence anisotropy of the fluorophore population. Although instruments capable of recording polarized fluorescence intensities do not abound, the measurement of homo FRET makes quantitative analysis of large-scale protein clusters possible, since the fluorescence anisotropy changes inversely with the average number of proteins in a cluster. The approaches discussed in this chapter are based on hetero-FRET; the simple donor quenching-based FCET method and the more complex, but fully quantitative ratiometric, intensity-based FCET have already been extensively and successfully applied to biological systems. Finally, we shall describe a modification of the latter approach that allows a cell-by-cell correction for autofluorescence and thus can reduce the uncertainty of the quantitative determination of FRET when fluorescence signals are low. The necessary mathematical details will be introduced along with the measurement procedure, so that the importance and utility of the various control samples can be fully appreciated.
For simple donor-quenching measurements, median or trimmed mean data exported from the flow cytometry program of choice can be used. To obtain FRET distribution on a cell-by-cell basis, samples can be analyzed with flow cytometric data analysis programs that can derive further parameters from list mode data using equations. Alternatively, these calculations can be done in a spreadsheet program after obtaining some parameters needed for correction factors and exporting the list mode data from any flow cytometry program of choice. Finally, there is a custom-made program that can be used to perform the complete analysis, including the calculation of necessary factors and the cell-by-cell distribution of FRET.
Sample Preparation
1. Measurement of donor quenching caused by FRET is simple, but cannot be used for cell-by-cell data analysis of FRET efficiency. In the classical approach introduced for the cell-by cell measurement of FRET, the donor and acceptor fluorophores are excited separately using the appropriate laser line. In a perfected approach, autofluorescence at the individual cell's level can be taken into correction during calculations, rather than using the autofluorescence histogram means. This improves the dispersion of FRET histograms, but one should always remember that inherent (Poissonian and additive) measurement noise that tends to dominate at low signals (low protein expression levels) cannot be eliminated even with cell-by-cell autofluorescence correction.
2. In general, the following samples are necessary:
(a) Sample 1. Unlabeled cells.
(b) Sample 2. Cells with epitope A labeled with the donor.
(c) Sample 3. Cells with epitope A labeled with the acceptor.
(d) Sample 4. Cells with epitope B labeled with the donor.
(e) Sample 5. Cells with epitope B labeled with the acceptor.
(f) Sample 6. Cells with epitope A labeled with the donor and epitope B labeled with the acceptor.
(g) Sample 7. Cells with epitope B labeled with the donor and epitope A labeled with the acceptor.
Sample 3 or 5 may be omitted: The α factor (see later in Eqs. 4, 25, and 26) can be determined either from samples 2 and 3, or from samples 4 and 5, depending on whether epitope A or B has a higher expression rate. The spillage factors should also be determined from the epitope that gives the better signal. Sample 2 or 4 may be omitted along the same principles (see Note 5).
Samples 6 and 7 are complementary in the sense that they provide FRET efficiencies in "the two opposite directions," i.e., from epitope A to B and from epitope B to A. If one epitope is expressed in great molar excess of the other, labeling that one with the acceptor yields a more efficient FRET, but interpretation can be somewhat intricate. However, if we can also swap the labels, a more complete picture can be obtained.
3. If a positive control with known molecular interactions is known, it is advisable to have another set of samples labeling these molecules on the same cell type along the principles in step 2. Since major histocompatibility complex (MHC) class I molecules comprising the heavy chain and the light chain (ß2 microglobulin) are expressed on many cells, and the two chains of MHC I are in close proximity, antibodies against these proteins with similar fluorophores as those against the proteins of our interest provide a useful positive control. It is best to label the light chain with donor, as not all heavy chains may be complexed with light chains, but there are no free light chains on the cell surface.
4. Additional information needed for the calculations:
(a) The dye/protein molar ratio of all antibodies used.
(b) The molar absorption coefficients of all dyes used.
(c) The quantum efficiencies of the dyes used, if any labeling yields a fluorescence intensity below three to five times the background.
5. Harvesting cells (for adherent cells only). Adherent cells grown in 75-cm2 flasks are detached using trypsin–EDTA solution. After rinsing the flask with trypsin–EDTA twice, leave only a thin layer of it over the cells for the optimized short time. Then add 10 mL of medium with FCS to stop the trypsin and restitute the calcium concentration, and homogenize the suspension by pipetting. Let the cells recover for 20 min in the flask. It has been determined that after gentle trypsinization, most cell surface proteins are either unchanged or totally recovered within 20–30 min (see Note 6).
Labeling Extracellular Epitopes
Labeling Intracellular Epitopes
1. Before measurement, resuspend the cells with gentle shaking and if clumps are detected upon examination in the microscope, run the suspension through a fine sieve.
2. Always examine labeled cells dropped on a microscopic slide using the fluorescence microscope to verify proper cellular position (e.g., membrane) of the label.
3. Start with Sample 1 (Background) as a negative control.
4. Set FSC and SSC in linear mode so as to see your population on the scatter plot (SSC/FSC dot plot).
5. Set fluorescence channels in logarithmic mode if wide-range linear digital acquisition is not available. Use the following fluorescence channels:
(a) Donor excitation – Donor emission (donor channel, I1).
(b) Donor excitation – Acceptor emission (FRET channel, I2).
(c) Acceptor excitation – Acceptor emission (acceptor channel, I3).
(d) Donor excitation – independent emission. The choice of excitation wavelengths and emission filters should be driven, in order of preference, by the optimal sensitivity of detection, including minimization of background, followed by the availability of labels that best exploit the lasers and optics at our disposal.
6. Set I1, I2, I3, and I4 voltages so that mean fluorescence intensities are about 101 for the unlabeled sample 1.
7. Run samples 2 and 4 (donor only) and adjust I1, I2, and I4 voltages so that mean fluorescence intensities are in the acquisition range.
8. Run samples 3 and 5 (acceptor only) and adjust I2 and I3 voltages so that mean fluorescence intensities are in the acquisition range.
9. Save instrument settings.
10. Create the following plots:
(a) FSC/SSC dot plot.
(b) I1, I2, I3, and I4 histograms for monitoring intensities.
(c) I1 /I2, I1 /I3 , and I2 /I3 dot plots for monitoring the correlation of signals.
11. Run sample 1 and create gate 1 on the FSC/SSC dot plot around intact cells.
12. Format plots so that only events in gate 1 are displayed.
13. Define a statistics window to show the mean fluorescence intensities of all histograms from the gated events.
14. Set the cytometer to acquire 20,000 events.
15. Run all samples.

Since I1(2) and I1(6) are measured on distinct samples, only the histogram means from the two populations can be considered here. This is one of the main disadvantages of the method and hence it is only suggested as a quick and rough estimate of whether FRET and thus molecular proximity occur. However, it is a quite useful approach when signals are low compared to background/autofluorescence (see Note 9).

4. On the acceptor-only sample that has the greater signal, determine the spectral correction factors S2 and S4 characterizing the spillover of acceptor fluorescence from the acceptor channel to the FRET and donor channels, respectively, according to the following equations (see Note 10):

5. Determine factor a. Use a donor and an acceptor-labeled sample which are labeled by the same antibodies, but conjugated to the two different fluorophores. Calculate the mean background-corrected I1 fluorescence intensity of the donor only sample, and the mean background-corrected I2 fluorescence intensity of the acceptor-labeled sample. Determine a according to the following equation (see Note 11):

Here, εd and εa are the molar absorption coefficients of the donor and the acceptor, respectively, at the donor excitation wavelength (i.e., the excitation wavelength used for I1 and I2), and Ld and La are the labeling ratios (i.e., number of fluorophores/antibody) of the donor and acceptor-labeled antibodies, respectively. The use of robust estimators of central tendency (trimmed mean, median) instead of the mean is preferable if the distribution is wide or if there are outlier events significantly distorting the mean. If cells transfected with FP variants are used, a different approach has to be used for the determination of a, which is described in detail elsewhere.
6. For the double-labeled samples, the I1, I2, and I3 intensities can be expressed according to the following equations:

Here, E is the FRET efficiency, ID and IA are the unquenched donor and direct acceptor fluorescence intensities, and e denotes the molar absorption coefficient of the donor (D) or acceptor (A) labeled in the upper index, at the donor (λD) or acceptor (λA) excitation wavelengths.
7. From the above system of equations, E can be calculated as follows:

8. In most cases, the above equation can be simplified by neglecting some of the constants. For example, S3, S4, and the absorption ratio are negligible for the Cy3–Cy5 donor–acceptor pair measured on a FACSCalibur. In this case, the equation can be rewritten in the following form:

9. During data analysis, it is advised to follow a general scheme. First, one needs to determine the mean background intensities and the autofluorescence correction factors. Then calculate the alpha factor and spectral overspill parameters (Sfactors) from the acceptor- and donor-labeled samples. With these parameters in hand, now the energy transfer efficiency can be determined on a cell-by-cell basis.
If the fluorescence intensity of the samples is comparable to autofluorescence, subtraction of a constant autofluorescence value can result in serious errors in the calculation. In addition to analysis steps described under Subheading 3.4, perform the following steps:

2. For the donor-labeled sample used for calculating S1 and S3, also determine factor S5 characterizing the spectral spillover of donor fluorescence from the donor channel to the autofluorescence channel:

3. For the acceptor-labeled sample used for assessing S2 and S4, also determine factor S6 characterizing the spectral spillover of acceptor fluorescence from the acceptor channel to the autofluorescence channel:

4. The fluorescence intensities of the double-labeled samples can be expressed by the following set of equations:

where AF denotes the autofluorescence intensity of single cells.
5. The above set can be converted to a system of linear equations by substituting the variable IDXE by X.

6. The solution of this equation system in general can be expressed as

7. From this, the FRET efficiency E can be calculated according to the following equation:

When using the Cy3–Cy5, and AlexaFluor546–AlexaFluor 647 FRET pairs, and assigning the FL1 channel of a FACSCalibur to measure the cellular autofluorescence, the S3, S4, and S6 factors and the absorption ratio become negligible and the equation takes a much simpler form that can be used for calculating E as a new cellular parameter in the list mode file (see Note 13):

In some rare cases, an antibody can increase the binding of another antibody. This enhancement can also lead to misinterpretation of FRET data. For example, if the acceptor-labeled antibody increases the binding of the donor-labeled antibody, the unquenched donor intensity of the donor+acceptor double-labeled sample is larger than that of the donor only sample, so the FRET calculated by comparing the donor intensity of the double-labeled sample and the donor-only sample will be underestimated. In some cases, the acceptor fluorescence may spill over to the donor channel, and the assumption that the background (i.e., non-donor) fluorescence intensity of the double-labeled sample is equal to the fluorescence intensity of the unlabeled sample does not hold. In such a case, a sample labeled by the acceptor-conjugated antibody and the unlabeled antibody against the donor epitope (to correct for the competition between the two antibodies) is to be used for background subtraction. An equation taking acceptor spillover and competition effects into account can be written in the following form:

Here, IBlank_donor+Acceptor and IDonor+Blank_acceptor denote, respectively, the fluorescence intensities (measured in the donor channel) of the sample tagged with the unlabeled antibody against the donor epitope and the acceptor-conjugated antibody, and that of the sample tagged with the donor-conjugated antibody and the unlabeled antibody against the acceptor epitope.
10. Although the spectroscopic spillover factors S1 through S6 are not expected to show any cell-by-cell heterogeneity, their cell-by-cell determination also has certain advantages. Performing mathematical calculations with cells having low fluorescence intensity introduces a large error into the calculations. Omitting these cells from the determination of the S factors greatly increases the reliability of these calculations.
11. Factor α is necessary to relate the actual fluorescence emission by the sensitized acceptor measured in the acceptor channel to the fluorescence one could measure in the donor channel from the donor if the quanta that are transferred in FRET had been emitted by the donor. This proportionality factor relates to the Q quantum efficiencies of the acceptor (index A) and donor (index D), and the detection efficiencies h in the acceptor and donor channels for photons emitted by the acceptor and the donor, respectively:

However, for practical purposes, a is more easily determined by measuring the same number of excited donor and acceptor molecules, respectively, in the donor and acceptor channels and normalizing them to their molar absorption coefficients (see Eq. 4). In Eq. 4 for α, there is a contribution from the sample labeled only with acceptor excited at the donor wavelength. Usually, this fluorescence intensity is rather small, thus giving the main error source in the calculations. To decrease this error, a should be determined using a protein that is abundant in our cells and recalculated for the actual antibodies used in the experiment.
The fluorescence quantum yields of the dyes may depend on the type of antibody they are attached to and even on the labeling ratio L, thereby affecting the value of α. The α factor determined for a given donor–acceptor antibody pair can be used for other antibody pairs labeled with the same dyes, provided its value is corrected for the differences in the quantum yields:

Here, subscript "1" refers to the antibody pair for which a has been determined previously and subscript "2" refers to the new antibody pair. Of course, such a correction requires the determination of quantum yields for the other antibody pair.
12. As already pointed out, autofluorescence values that are high compared to the donor and acceptor intensities can seriously disperse the calculated FRET efficiency distributions. Therefore, it is advisable to decrease the autofluorescence level as much as possible. A straightforward way to achieve this is to use yellow or red fluorescent dyes, since cellular autofluorescence becomes progressively weaker in the red region of the visible spectrum.
13. The simplified Eq. (23) is tested for the particular filter setup.
14. Optimizing the sensitivity of FRET measurements is a formidable challenge. To make the measurable range of molecular interactions as large as possible, donor–acceptor dye pairs should be chosen with the maximal spectral overlap. However, this will increase the cross talk between detection channels. At the same time, the higher the amount of spectral spillover compared to the FRET signal proper, the lower the reliability of the experiment. Therefore, efforts have to be made to minimize spectral spillover. A prudent approach to optimize the choice of fluorophores and filters to reach a balance between these contradictory requirements results in the recognition that the normalized fluorescence of applied dyes is an even more important asset ameliorating the detection of FRET through improved signal-to-noise ratio, and, collectively, AlexaFluor546 with AlexaFluor647 appears to be the most favorable FCET pair in a typical biological system.
Reference
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