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Departments of Biomedical Engineering and Neuroscience, Calcium Signals Laboratory, The Johns Hopkins University School of Medicine, Baltimore, Maryland 21205
Correspondence: Address reprint requests to David T. Yue, Tel.: 410-955-0078; Fax: 410-955-0549; E-mail: dyue{at}bme.jhu.edu.
| ABSTRACT |
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| INTRODUCTION |
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Among the genetically encoded fluorophores, two green fluorescent protein (GFP) color mutantsCFP and YFPhave emerged as the leading donor/acceptor pair for FRET experiments (Miyawaki et al., 1997
). These fluorophores afford reasonable spectral separation and brightness, while not requiring potentially harmful ultraviolet excitation. Nonetheless, the spectral properties of this pair are suboptimal for FRET in two regards, thus limiting the full promise of experiments using GFP color mutants. First, the high degree of overlap between emission spectra for cells expressing CFP and YFP (Fig. 1, top row) entails substantial "cross talk" of CFP emission in the YFP detection channel (Gordon et al., 1998
), thereby complicating quantification of FRET. Second, FRET experiments with these fluorophores require excitation of CFP, a difficult proposition with the repertoire of lasers available on most confocal microscopes: Argon ion (458, 488, and 514 nm; Fig. 1, dashed lines), dual-gas Krypton/Argon (488, 568, and 657 nm), green HeNe (543 nm), and red HeNe (633 nm). Some groups have successfully employed the 458-nm line of the Argon laser to excite CFP while accepting the tradeoff of substantial cross-excitation of YFP (Rizzo et al., 2002
). Nonetheless, the commonly available lasers are generally more suitable for FRET experiments involving archetypical donor/acceptor pairs like fluorescein/rhodamine (Fig. 1, bottom row). Several confocal microscope manufacturers now offer excitation sources capable of efficient CFP excitation, such as Krypton ion lasers (413 nm), violet laser diodes (405 nm), or HeCd lasers (442 nm), but these sources are often lacking on standard instrument configurations, and adding them involves considerable expense.
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0 contribution from either GFP or CFP. Such selective detection of DsRed emission would greatly simplify quantification of FRET. Furthermore, the spectral characteristics of GFP/DsRed (Fig. 1, second row) mimic those of fluorescein/rhodamine, thus permitting efficient excitation of the donor (GFP) by a standard Argon laser (488-nm line).
A major challenge to realizing these benefits is the slow maturation of DsRed (>48 h to reach 90% of maximal fluorescence) (Baird et al., 2000
) and other sea coral chromophores (Labas et al., 2002
). Although targeted mutagenesis has recently provided DsRed variants with accelerated maturation, it is unclear whether this approach will prove widely successful with the larger family of sea coral fluorophores. Moreover, the engineered DsRed constructs generated to date suffer from unfavorable spectral characteristics for FRET application and/or substantial reductions in brightness (Bevis and Glick, 2002
; Campbell et al., 2002
). In the one case tested (Campbell et al., 2002
), the attenuated brightness was severe enough to preclude practical FRET detection. Hence, developing general means to overcome the complications of slow maturation presents as an enormously important goal. Here, we develop several practical strategies, thus improving substantially the prospects of employing DsRed as a FRET partner with GFP or CFP.
| MATERIALS AND METHODS |
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Fluorescence spectra
HEK293 cells were transfected by calcium-phosphate precipitation with cDNA encoding fluorescent protein. Three days posttransfection, the cells were washed twice with PBS, then harvested by gentle trituration in PBS with 0 mM Ca2+ and 2 mM EDTA. Cells were pelleted, resuspended in 0 mM Ca2+ Tyrode's (pH 7.4), and loaded into a 1-cm cuvette for analysis. Fluorescence excitation and emission spectra were obtained using an SPF-500C spectrafluorometer (SLM Instruments, Rochester, NY); excitation bandwidth was 2 nm and emission bandwidth was 10 nm. Raw spectra were corrected for background emission by subtracting similar spectra obtained on the same day from untransfected cell suspensions. Optical density at the excitation peak was <0.10.
FRET measurements
33-FRET measurements were performed as described previously (Erickson et al., 2001
) on a Nikon Eclipse TE300 microscope (Nikon USA, NY). 33-FRET filter cubes for CFP/YFP (excitation, dichroic, emission, company): CFP (D440/20M, 455DCLP, D480/30M, Chroma, Brattleboro, VT); YFP (500DF25, 525DRLP, 530EFLP, Omega Optical, Brattleboro, VT); FRET (440DF20, 455DRLP, 535DF25, Omega Optical). 33-FRET filter cubes for CFP/DsRed: CFP (D440/20M, 455DCLP, D480/30M, Chroma); DsRed (540AF30, 570DRLP, 575ALP, Omega Optical); FRET (440DF20, 455DRLP, 580DF30, Omega Optical). 33-FRET filter cubes for GFP/DsRed: GFP (475AF20, 500DRLP, 510AF23, Omega Optical); DsRed (540AF30, 570DRLP, 575ALP, Omega Optical); FRET (475AF20, 500DRLP, 580DF30, Omega Optical). Experimentally determined RD1, RD2, RA values for CFP/YFP, CFP/DsRed, and GFP/DsRed FRET pairs are shown in Table 1.
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| RESULTS |
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![]() | (1) |
A is the molar extinction coefficient of the acceptor in M-1 cm-1, and J has dimensions of M-1 cm-1nm4. The equation Förster derived for R0 (in Å) in its simplified form is then (Lakowicz, 1999
![]() | (2) |
2 is the orientation factor, QD is the donor quantum yield (QCFP = 0.40; QGFP = 0.60) (Patterson et al., 2001
1.334). For convenience, we assumed that the relative dipole orientations of the donor and acceptor fluorophores rapidly randomize, thus making
2 = 2/3 (Lakowicz, 1999
A(
). Here, there is inexplicable scatter in reported values, with the originally reported maximum extinction coefficient for DsRed being
DsRed = 22,500 M-1 cm-1 (Matz et al., 1999
DsRed = 22,500 M-1 cm-1, we determined R0 values for the pairing of CFP/DsRed and GFP/DsRed to be 41.7 Å and 47.1 Å, respectively. These values closely match those determined previously for spectra obtained from measurements of purified proteins (Patterson et al., 2000
DsRed determination (75,000 M-1 cm-1), we determined R0 values for CFP/DsRed and GFP/DsRed to be 50.9 Å and 57.6 Å, respectively. Both minimum and maximum R0 estimates are comparable to or even larger than the R0 reported for CFP/YFP of 49.2 Å (Patterson et al., 2000
Pulsed expression of DsRed molecules enriches for a mature population of chromophore
A major challenge for using DsRed in FRET experiments is the reportedly slow maturation of the DsRed chromophore. In the course of maturation, the chromophore proceeds through an intermediate state, which exhibits a faint green fluorescence, before achieving a brilliant red-fluorescent form (Baird et al., 2000
; Mizuno et al., 2001
; Wiehler et al., 2001
). In many practical applications, the immature species can be considered nonfluorescent because the magnitude of its fluorescence emission is <1% of that demonstrated by the mature chromophore (Baird et al., 2000
). This slow and heterogeneous maturation process can be demonstrated explicitly by constitutive expression of engineered CFPDsRed concatemers. The CFP fluorophore, which matures rapidly and uniformly in <10 h (Greenbaum et al., 2002
), serves as a reporter for the existence of a concatemer, even when the associated DsRed moiety is in its immature, essentially nonfluorescent form. The CFP emission from such a concatemer would appear green through the 515-nm longpass emission filter used in Fig. 2 A (left). However, when the associated DsRed fluorophore matures, the concatemer would appear red, being dominated by the red fluorescence of DsRed (Fig. 2 A, right). Cells with a mixture of (im)mature DsRed would appear yellow-orange (Fig. 2 A, middle). Inspection of a widefield view (Fig. 2 B, left) confirms ample representation of all the predicted forms. Such heterogeneous DsRed maturation could significantly complicate FRET experiments.
To alleviate such heterogeneity, we tested whether time-gated expression of CFPDsRed would permit full DsRed maturation of a bolus of expressed concatemers. CFPDsRed was subcloned into an ecdysone inducible expression plasmid (pIND; Invitrogen), and transfected into HEK293 cells. On the next day, cells were exposed to ecdysone agonist (1 µM muristerone) to induce expression, and then washed after 24 h. Four to five days after transfection, cells were nearly all red colored (Fig. 2 B, right), indicating that already expressed CFPDsRed had time to fully mature. This scenario contrasts sharply with the marked color heterogeneity present when muristerone was continuously present (Fig. 2 B, left), as described above. Averages from several transfections fully confirmed these trends (Fig. 2 C). Hence, pulsed expression of DsRed-based molecules provides an excellent approach to enrich for mature DsRed, thereby simplifying the task of employing this fluorophore in FRET applications.
33-FRET algorithm proves insensitive to heterogeneous DsRed maturation
In many instances, however, it may be either inconvenient or even unfeasible to employ an inducible promoter, such as with transgenic animals, which often employ constitutive expression of recombinant molecules. In these cases, we suspected that our recently developed three-cube FRET (33-FRET) algorithm (Erickson et al., 2001
) would provide accurate quantification of FRET despite heterogeneous DsRed maturation. This capability is expected because 33-FRET relies on sensitized acceptor emission; thus, the functionally nonfluorescent, immature DsRed (Baird et al., 2000
) would not impact quantification of FRET by this assay (see Discussion). To explore this conjecture experimentally, we describe the algorithm, and then test how it fares in detecting FRET within an engineered concatemer of CFP and DsRed.
33-FRET is a practical single-cell FRET assay based on sensitized acceptor emission (Clegg, 1992
). Three core principles underlie the approach: 1), FRET alters the amplitudes but not the shapes of the individual donor and acceptor emission spectra; 2), measuring the emission spectrum at one wavelength indicates the proper scaling for the entire spectrum at all wavelengths; and 3), careful selection of optical filters permits near spectral selection of donor and acceptor. The goal of this method is to compute the FRET ratio (FR), equal to the fractional increase in acceptor fluorescence emission due to FRET. FR is calculated as the ratio of acceptor emission in the presence of donor (FAD) to acceptor emission in the absence of donor (FA). The procedure for determining FR entails sequential intensity readings from three distinct filter cubes, conveyed as SCUBE(SPECIMEN), where CUBE denotes a particular filter cube and SPECIMEN indicates whether the cell is expressing donor only (D), acceptor only (A), or both (DA). We previously described the 33-FRET method for the CFP/YFP pair (Erickson et al., 2001
); here we explicitly extend this procedure to the CFP/DsRed pair. This illustrative case can be easily adapted for the GFP/DsRed pair.
For concreteness, consider an isolated cell expressing the concatemer shown in Fig. 3 A, where CFP and DsRed are connected by a flexible, 25-residue linker. Fig. 3 B shows the resulting emission spectrum with excitation at 440 nm. The characteristic double-humped shape reflects the superposition of underlying CFP and DsRed spectra. In regard to the DsRed component, SFRET(DA) (number 1) is the sum of two parts: CFP emission (number 4); and DsRed emission (number 2), a portion of which is due to direct excitation. Dissecting these components relies on SCFP(DA) and SDsRed(DA), signals from filter cubes that permit optical isolation of the CFP and DsRed signals for a particular cell expressing both fluorophores. SCFP(DA), which excites CFP and DsRed but measures fluorescence where only CFP emits (number 5), is multiplied by a predetermined constant (RD1) to determine the contribution of CFP emission at 580 nm (number 4). Subtracting this from SFRET(DA) leaves FAD, according to
![]() | (3) |
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![]() | (4) |
In cases where the donor and acceptor excitation spectra are not well separated, a small amount of donor excitation can occur with the acceptor cube. This cross talk can be corrected as described before (Erickson et al., 2001
) using another constant RD2 and the modified equation
![]() | (5) |
Finally, FR is computed as the ratio
![]() | (6) |
The constants RD1, RD2 and RA are determined in separate cells expressing either donor (CFP) or acceptor (DsRed) alone, and forming the appropriate ratios of measurements as given below.
![]() | (7) |
![]() | (8) |
![]() | (9) |
Recommended filter sets for this method, as well as values for RD1, RA, and RD2, are detailed in the Materials and Methods section. Parameters for CFP/DsRed and GFP/DsRed are included therein. Finally, we can compute the effective FRET efficiency (Erickson et al., 2001
), EEFF, by
![]() | (10) |
ex.
To test the sensitivity of 33-FRET to heterogeneous DsRed maturation, we applied 33-FRET to CFPDsRed concatemers, here constitutively expressed under a CMV promoter to produce a heterogeneous population of DsRed. Fig. 2 A (left) illustrates the color heterogeneity encountered in various cells with constitutive expression of concatemer. To gauge approximately the extent of DsRed maturation in a given cell, we used optical measures to approximate fmature, defined as the fraction of concatemers with a mature DsRed moiety. The numerator of such a fraction would be the overall amount of mature DsRed in a cell, which would be proportional to the 580-nm fluorescence emission of DsRed, provided that we could selectively excite DsRed at 540 nm. The desired entity is FA, which can be determined by experimental measures as deduced in Eq. 4 above. The denominator of the sought-after fraction would be the overall amount of concatemer in a cell, which would be proportional to the 580-nm fluorescence emission of CFP due to 440 nm excitation, if we could factor out the partial quenching of CFP fluorescence due to FRET with DsRed. The desired entity would be FD, which is difficult to isolate experimentally. However, we can easily calculate FDA (
), which is the 580-nm fluorescence emission of CFP due to 440 nm excitation, including partial quenching of CFP fluorescence due to FRET with DsRed. Given E
0.3 (shown below in Fig. 4 C), FD will be no more than
30% larger than FDA. Hence, the optical index FA/FDA will be nearly proportional to the fraction of concatemers with mature DsRed in a given cell. Determining FR and FA/FDA in multiple cells with variable coloration then permits direct examination of the robustness of the 33-FRET assay in the face of differing degrees of DsRed maturation.
Fig. 4 A summarizes the results of such an experiment by plotting FR as a function of FA/FDA. As a reference, measurements were first made on cells enriched for a mature population of CFPDsRed concatemers, using the pulsed expression strategy (Fig. 2 B, right). Such cells gave rise to FR values clustering around 3.6 and FA/FDA ratios near 2.75 (Fig. 4 A, closed symbols). These determinations established the genuine FRET level for mature concatemers (Fig. 4 A, red line), and helped to normalize the FA/FDA axis to its maximum value of 3.14 (Fig. 4 A, top axis). Normalizing FA/FDA then yields an experimental determination of fmature (Fig. 4 A, bottom axis), as defined above. With these references in mind, it is readily apparent that, except for fmature < 0.05, FR measurements from heterogeneous populations (Fig. 4 A, open symbols) were nearly indistinguishable from the target FRET level for fully mature concatemers. This remarkable convergent behavior directly demonstrates the ability of 33-FRET to extract the legitimate FRET strength despite wide variation in DsRed maturation. Selection of cells with fmature > 0.05 in all subsequent experiments provided a simple means to ensure adequate red-fluorescent signal for robust determination of FR.
By contrast, such immunity to variable DsRed maturation is not shared by FRET-detection methods that rely upon donor (CFP) characteristics. For example, the most common metric for FRET is the simple ratio of fluorescence at acceptor and donor emission wavelengths resulting from
440 nm excitation, in this case expressed as F580/F480. Plots of F580/F480 versus fractional maturation (fmature) clearly indicate large apparent changes in FRET coupling with increasing maturation (Fig. 4 B). Donor dequenching is another quantitative FRET detection method (Bastiaens and Jovin, 1996
). Here, the enhancement of CFP fluorescence upon total photobleaching of DsRed can be used to specify effective FRET efficiency, EEFF, according to
![]() | (11) |
Overexpression can lead to spurious concentration-dependent FRET
A remaining challenge for engaging DsRed-based FRET experiments, which pertains in general to any FRET experiments where fluorophores are produced from common mammalian expression plasmids, was to exclude the possibility of spurious, concentration-dependent FRET (Lakowicz, 1999
), an artifact that is explicitly characterized in Fig. 5. Panel A shows the results for cells expressing both CFP and YFP as separate molecules. For each cell, both FR and FDA were determined. As detailed above, SCFP(DA) (or FDA) is roughly proportional to the concentration of donor (CFP), under the assumption that cells had a roughly uniform volume. The plot shows the cumulative average FR (FRcum) calculated for all cells with SCFP(DA) less than the value on the x axis. For small SCFP(DA), the average FR is essentially unity, as expected for noninteracting CFP and YFP molecules. However, as SCFP(DA) exceeds
21,000, FRcum increasingly rises above unity, reaching 1.3 at the highest levels of SCFP(DA). This corresponds to average FR values of
1.6 in this high SCFP(DA) regime. This scenario suggests that spurious FRET became appreciable at CFP concentrations corresponding to an SCFP(DA) value of
21,000. Thus, for all 33-FRET determinations used for quantification of FRET coupling, we have taken this SCFP(DA) value as a maximum cutoff for inclusion of cells expressing a CFP moiety. Fig. 5 B demonstrates that a similar inclusion criterion can be applied to exclude spurious FRET in the case of two CFP/DsRed configurations, namely CFP/DsRed concatemers (squares) and CFP and DsRed expressed as separate molecules (triangles). In either case, FRcum averaged from cells to the left of the criterion defined a flat plateau region, as expected. By contrast, FRcum progressively climbed above plateau levels as cells to the right of the criterion were included, indicating a contribution of spurious FRET when CFP concentrations became overly elevated. An analogous inclusion criterion proved successful for excluding spurious FRET between GFP and DsRed (not shown).
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Sensitive and selective detection of FRET with GFP/DsRed and CFP/DsRed pairs
With the strategies and criteria developed above, we used 33-FRET to quantify the actual FRET coupling strength within concatemers of CFPDsRed and GFPDsRed, both constitutively expressed under the control of a CMV promoter (pcDNA3). In particular, two inclusion criteria were applied: 1), To ensure sufficient DsRed signal, only cells with fmature > 0.05 were included (Fig. 4 A). 2), To exclude contributions from spurious FRET, the SCFP(DA) cutoff (Fig. 5) was applied. The GFP/DsRed concatemer demonstrated unmistakable FRET with an FR
3 (Fig. 6 A), and the CFP/DsRed concatemer showed an even larger FR
4 (Fig. 6 B). Expressing the acceptor (DsRed) alone, or in conjunction with unlinked donor (GFP or CFP), gave FR values indistinguishable from unity, showing an appropriate lack of FRET interaction in controls. Clearly, both CFP/DsRed and GFP/DsRed pairs supported robust and well-defined FRET.
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| DISCUSSION |
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Complementary approaches to overcoming the challenges of DsRed FRET
Apart from niche deployment as a fluorescent timer (Terskikh et al., 2002
; Verkhusha et al., 2001
), slowly maturing DsRed complicates most applications, and wreaks havoc on quantitative assessment of FRET. In addition, obligate tetramerization of DsRed, with the potential for larger-scale aggregation (Jakobs et al., 2000
; Lauf et al., 2001
; Mizuno et al., 2001
), adds further potential complexity to the assessment of FRET. Though there are anecdotal reports that fusing DsRed to various biomolecules can alleviate aggregation (Lauf et al., 2001
), we have observed that all DsRed fusions, as well as DsRed alone, show widely variable tendencies in different cells, ranging from no detectable aggregation to widespread punctate concentrations (not shown). Overall, these challenges may be general for a growing family of red-shifted, sea coral fluorophores (Labas et al., 2002
), thus restricting the enormous promise of this entire class of fluorophores for biological application.
One important approach to overcoming these problems is targeted mutagenesis to produce variant fluorophores with accelerated maturation and attenuated oligomerization. Regarding slow maturation, DsRed variants have been engineered with half maturation times less than 12 h, such as the T1, T3, and T4 constructs developed by Bevis and Glick (2002)
. However, compared to DsRed, T1 and T4 are far dimmer, and T3 manifests enhanced green emission that could increase spectral cross talk with potential FRET donors like CFP and GFP. All of these constructs still suffer from obligate tetramerization (Baird et al., 2000
; Mizuno et al., 2001
). Concerning oligomerization, targeted mutagenesis based on the DsRed crystal structure (Yarbrough et al., 2001
) has also provided a monomeric DsRed variant, mRFP1 (Campbell et al., 2002
), which exhibits fast maturation akin to T1 and T4. Unfortunately, mRFP1 also showed attenuated brightness that was severe enough to preclude practical detection of FRET (Campbell et al., 2002
). In short, though targeted mutagenesis may ultimately produce a bright, monomeric, and rapidly maturing DsRed variant, currently engineered constructs appear too dim or have unfavorable spectral characteristics for practical use in FRET assays. More generally, it is unclear whether this approach will be widely successful with the larger family of sea coral fluorophores, for which crystal structures have yet to be obtained.
This state of affairs motivates the alternative approaches developed in this study to engage the challenges of DsRed. Here, we have demonstrated that quantitative FRET can still be determined despite slowly maturing DsRed, using pulsed DsRed expression and/or a sensitized acceptor emission method (e.g., 33-FRET) to quantify FRET. Although these strategies represent significant advances, there still remains the serious issue of DsRed oligomerization, which could complicate quantification of FRET via intricate second-order mechanisms such as homotransfer among adjacent DsRed molecules (Baird et al., 2000
). Moreover, oligomerization could disrupt native targeting or association of molecules tagged with DsRed. In the future, our strategies for engaging slowly maturing DsRed may allow targeted mutagenesis efforts to focus exclusively on producing bright and monomeric DsRed variants, without simultaneously satisfying the call for fast maturation. This relaxation of constraints may hasten the successful engineering of DsRed and other sea-coral fluorophores that permit practical FRET studies with CFP and/or GFP.
In the meantime, our strategies do facilitate certain important applications of CFP/DsRed or GFP/DsRed FRET in live cells. For example, consider an experiment where we pit DsRed-tagged molecules against CFP-tagged molecules, in the context of an in situ screen for binding (Erickson and Yue, 2002
). Although DsRed oligomerization could artifactually inhibit interaction, a positive interaction as quantified by an elevated FR is still very meaningful. Though the precise FRET efficiency may be subject to debate, the presence or absence of bona fide FRET should be robustly specified by the 33-FRET approach.
In fact, FR may prove more than simply a reliable "yes/no" indicator of FRET. Our results in Fig. 4 A point to a remarkable possibilitythat FRET between nearest CFP and DsRed molecules, such as between fluorophores in a fused CFPDsRed concatemer, represents the predominant resonance energy transfer process within the larger CFPDsRed complex, as organized by obligate DsRed tetramerization. This possibility arises upon consideration of the wide range of fmature values seen in Fig. 4 A, suggesting vastly different fractions of (im)mature DsRed moieties in various obligate tetramers (Cotlet et al., 2001
; Garcia-Parajo et al., 2001
). If appreciable hetero- and homotransfer were to occur among multiple types of fluorophore pairs within a complex, we would expect that FR, a metric of aggregate FRET coupling in the complex, would vary considerably as the mixture of (im)mature DsRed within tetramers changes. Instead, we observe a robust convergence of FR to a single value (red line, Fig. 4 A) that holds for essentially all fmature determinations. This convergence thus strongly implicates the predominance of FRET between immediately adjacent CFP and mature DsRed molecules; this would be the only form of coupling that is invariant with differing fmature. If this simple outcome were to hold for a variety of CFP/DsRed fusion constructs, then FR determinations would quantitatively reflect FRET coupling within individual constructs, rather than among separate constructs comprising a tetramer. Predominance of FRET coupling within concatemer constructs may also explain the convergence of FR despite variation in the degree of larger-scale aggregation.
Theory underlying optimal methods for measuring DsRed FRET
An extensive collection of different FRET detection methods is described in the literature (Selvin, 1995
). Selecting the optimal method for a given experiment depends on the specific experimental setup, including which donor/acceptor pair is used. Here, we examine three FRET methodsratiometric, donor dequenching, and 33-FRETrepresenting a general class of methods that entail discrete measurements of emission intensities at specific wavelengths. Methods in this class benefit from being easily adapted for the fluorescence microscope, with minimal need for additional equipment. We experimentally determined that 33-FRET uniquely provides stable CFP/DsRed or GFP/DsRed FRET measurements that are largely independent of the relative amount of fully mature DsRed (fmature) (Fig. 4 A). By contrast, ratiometric and donor dequenching FRET measurements vary with DsRed maturation (Fig. 4, B and C). Rather than simply trying all three methods, it would be most convenient to understand in advance which method would be optimal for the donor/acceptor pair being used. In the Results section, we hinted at the basis for such an understanding. Below, we explicitly develop this theory for selecting among these three FRET detection methods, based on an analysis of how each metric is impacted by variations in the relative amount of mature DsRed.
The ratiometric method incorporates a commonly employed FRET metric, R, which is equal to the simple ratio of acceptor to donor emission intensity, recorded near the respective emission peaks. For CFP/DsRed FRET, this translates to the ratio, R = F580/F480, with excitation near 440 nm. An increase in FRET coupling will enhance the acceptor emission peak at the expense of quenching of the donor emission peak, yielding an increase in R. In general, the ratiometric method assumes a fixed (generally 1:1) acceptor to donor expression ratio. Otherwise, changes in relative expression will lead to changes in R that could be mistaken for FRET. In the case of cells expressing the CFPDsRed concatemer, R will be directly proportional to the ratio of fully mature DsRed to CFP. Thus, any measurement of R will vary in proportion to the relative amount of fully mature DsRed, as indicated by the linear relationship between R and fmature depicted by Fig. 4 B. In sum, the strict dependence of R on the relative amount of mature DsRed renders the ratiometric metric impractical for static FRET measurements on DsRed.
Another method for quantitating FRET is donor dequenching (Bastiaens and Jovin, 1996
), where the donor emission peak is recorded before and after acceptor photobleaching. If FRET is present initially, there will be an enhancement, or dequenching, of the donor emission peak after the near-complete elimination of the acceptor. A number of studies have successfully deployed donor dequenching for the CFP/YFP FRET pair (Miyawaki and Tsien, 2000
; Pentcheva and Edidin, 2001
). However, donor dequenching does not provide a stable measurement of FRET for the CFP/DsRed (Fig. 4 C) or GFP/DsRed pairs (not shown), as predicted by the following reasoning. For steady-state FRET, we are most interested in measuring the true FRET efficiency, E, which conveys the amount of FRET coupling between closely associated donor and acceptor molecules. Donor dequenching instead provides EEFF, which can be related to the true efficiency by (Epe et al., 1983
; Erickson et al., 2001
)
![]() | (12) |
0) will have a Db value near zero. By contrast, a cell with the majority of its DsRed molecules in the fully mature state (fmature
1) will have Db near one. In fact, Eq. 12 can be restated as
![]() | (13) |
30 min of exposure was required to bleach DsRed by 90%; however, pulsed, high-intensity laser illumination may accelerate this process (Mizuno et al., 2001
3 min of continuous illumination. Despite the dual challenges of sensitivity to DsRed maturation and resistance to photobleaching, some have made use of donor dequenching for measuring DsRed FRET (Cornea et al., 2001
In contrast to the previous two cases, FRET assays based on 33-FRET are well suited for measuring CFP/DsRed or GFP/DsRed FRET, as indicated by the stability of FR readings across 95% of the range of fmature values (Fig. 4 A). Like donor dequenching, 33-FRET can be used to calculate an EEFF (Eq. 10). However, the EEFF determined by 33-FRET has a different relationship with E, according to (Epe et al., 1983
; Erickson et al., 2001
)
![]() | (14) |
Fig. 4 A provides resounding experimental confirmation of the expectation that EEFF = E, as determined by the 33-FRET algorithm. Indeed, it is only for cells with very little mature DsRed (small fmature) that 33-FRET fails to provide a stable measure of FRET. The divergent estimates of FR at very low fmature values probably result from signal-to-noise issues arising from a lack of sufficient red-fluorescent DsRed signal in those cells, rather than an inherent inability of 33-FRET to extract the actual FR over the small fmature range. In sum, of the three methods examined here, 33-FRET is optimal for CFP/DsRed or GFP/DsRed FRET. Moreover, 33-FRET would be the optimal method in any situation where the acceptor fluorophore matures more slowly than the donor.
A simple yet effective way to overcome the signal-to-noise limitation of 33-FRET for low fmature values is to establish a minimum fmature cutoff point, beyond which the signal is sufficiently strong to provide a stable reading of E. In the present study, taking fmature > 0.05 effectively excluded cells outside of the usable range for 33-FRET (Fig. 4 A). It must be noted that use of the fmature cutoff is only appropriate when the relative expression of donor and acceptor molecules is fixed, a condition that is assured when employing both fluorophores in a unimolecular construct like the CFPDsRed concatemer. Many of the genetically encoded FRET-based sensors are unimolecular (Miyawaki et al., 1997
; Mochizuki et al., 2001
), thus making them ideal candidates for application of an fmature cutoff strategy. Ensuring a fixed ratio of donor and acceptor molecules may be more difficult for bimolecular FRET experiments, in which CFP and DsRed are fused to different proteins. In practice, it may be possible to achieve fixed relative expression of separate CFP- and DsRed-tagged molecules using a bicistronic vector that incorporates cDNA encoding both fusion products on a single plasmid (Martinez-Salas, 1999
). However, in this case the relative expression of CFP to DsRed may not be 1:1, so an fmature cutoff other than 0.05 would have to be determined experimentally.
There are some notable exceptions when 33-FRET may not be optimal for monitoring FRET with DsRed. For example, FRET detection by the ratiometric method is generally more effective when rapid assessments of dynamic FRET are required. In these cases, the accuracy of FRET determination can be enhanced by preselection of cells with a predominance of fully mature DsRed, using our approximate index for DsRed maturity (fmature). Furthermore, the preference for 33-FRET over donor dequenching is reversed for an experimental system in which the donor, rather than the acceptor, is slow to mature. Here, Ab would vary with fmature, and Db would be independent of fmature, meaning that donor dequenching would provide the most reliable measure of FRET efficiency. For example, if one were to use DsRed as a FRET donor, possibly paired with the HcRed fluorescent protein (Clontech) as acceptor, donor dequenching would be preferred over 33-FRET for establishing a stable measurement of FRET efficiency that does not vary with the relative amount of mature DsRed.
One final point to be gleaned from theoretical comparison of FRET detection methods concerns the determination of the maximal DsRed molar extinction coefficient,
DsRed. As mentioned in the Results, there is substantial variation among literature values for
DsRed, ranging from a minimum of 22,500 M-1 cm-1 (Matz et al., 1999
) to a maximum of 75,000 M-1 cm-1 (Baird et al., 2000
). It could well be that the precise
DsRed value is rather sensitive to experimental conditions; hence,
DsRed should ideally be determined in situ, within the same live cells where actual FRET experiments are being performed. All previous determinations of
DsRed have been undertaken in vitro (Baird et al., 2000
; Bevis and Glick, 2002
; Matz et al., 1999
; Patterson et al., 2001
), but the theoretical comparison of donor dequenching and 33-FRET methods developed here reveals a simple approach to specify
DsRed in situ, as follows. Consider the live-cell, 33-FRET analysis of the CFPDsRed concatemer, summarized in Fig. 4 A. According to Eq. 10, the convergent FR value of 3.6 (Fig. 4 A, red line) should be related to the effective FRET efficiency EEFF by the ratio of acceptor (DsRed) and donor (CFP) molar extinction coefficients at the excitation wavelength of 440 nm (
CFP(440 nm) and
DsRed(440 nm), respectively). In discussing Eq. 14, we deduced that Ab = 1, so that EEFF in Eq. 10 could be set equal to E, the actual FRET efficiency between a mature DsRed and CFP, as fused together in a CFPDsRed concatemer. Because
CFP(440 nm) is well established to be 25,100 M-1 cm-1 in situ (Erickson et al., 2001
), we could then directly solve for the in situ value for
DsRed(440 nm) if we could experimentally determine E. At first glance, this requirement might appear difficult, because donor dequenching data specify EEFF = E · fmature (Eq. 13), rather than E. However, straightforward linear extrapolation of donor dequenching data to fmature = 1 yields an E value of 0.41 (red line, Fig. 4 C). This allows us to solve for an in situ
DsRed(440 nm) value of 3,960 M-1 cm-1. Multiplying this by a factor of 10.9, corresponding to
DsRed(558 nm)/
DsRed(440 nm) as specified by the DsRed excitation spectra (Fig. 1), yields a maximum
DsRed value of 43,200 M-1 cm-1, in reasonable agreement with the 52,000 M-1 cm-1 value reported by Bevis and Glick (2002)
. This approach can be undertaken case-by-case to determine an appropriate maximal
DsRed value for each experimental cell system.
Sources of concentration-dependent FRET
A final challenge is that of concentration-dependent, or spurious FRET (Fig. 5). This challenge is not specific to experiments involving DsRed; rather it is a factor that must be considered whenever strong, constitutive promoters are used to drive expression of fluorescent proteins (Miyawaki and Tsien, 2000
).
What is spurious FRET, as detected in Fig. 5? One possibility is that spurious FRET readings result from high bulk concentration of expressed fluorophores, which would tend to decrease the average separation between donor and acceptor molecules moving freely in the cytosol. The first-order assumption of FRET experiments is to imagine that FRET will only occur when donor and acceptor fluorophores are brought "close together" by a specific interaction, perhaps by direct binding between proteins to which the fluorophores are fused, or by an engineered linker that explicitly tethers donor and acceptor moieties together. However, donor molecules at high enough concentrations could be on average close to an acceptor molecule, even in the absence of a specific interaction or engineered linker. That such a possibility could be realized in practice is made clear by determining just how high the donor concentration would have to be to precipitate such a scenario.
Consider an acceptor molecule at position r = 0. The probability that a donor molecule resides within distance r and r + dr of the acceptor molecule is expressed as
![]() | (15) |
![]() | (16) |
![]() | (17) |
yields
![]() | (18) |
Setting
E
= 0.02 and solving for D provides D0.02, the critical donor concentration that would support a concentration-dependent FRET efficiency of 0.02 (or 2%), according to
![]() | (19) |
50 Å) (Patterson et al., 2000
40 µM. This means that donor concentrations as low as 40 µM would be sufficient to bring donor molecules in close enough proximity to an acceptor molecule to support FRET efficiencies of 0.02. Concentrations in the general range of 40 µM should be achievable for protein expression driven by strong CMV-based expression plasmids (Miyawaki and Tsien, 2000
Spurious FRET could also arise from the known tendency of highly concentrated GFP-based fluorophores to form concatemers, with Kd
100 µM (Phillips, 1998
; Zacharias et al., 2002
). Concatemerization of GFP-based fluorophores, as well as tetramerization of DsRed fluorophores, could act to bring donors and acceptors close together, thus effectively decreasing further the value of D0.02. Recently described efforts to generate monomeric GFP-based fluorophores (Zacharias et al., 2002
) and monomeric DsRed (Campbell et al., 2002
) could help alleviate the problems posed by fluorophore aggregation, but do not solve the overall challenge of concentration-dependent FRET.
Fig. 5 not only confirms the presence of spurious, concentration-dependent FRET, as predicted by Eq. 19, but also provides important clues about how to control for this confounding feature. Steady-state FRET measurements are often depicted by bar charts, which compare measurements of FRET efficiencies among controls and various experimental conditions. However, it would be difficult to interpret differences among FRET measurements obtained with dramatically different fluorophore concentrations. Equation 19 highlights one convenient method of controlling for concentration-dependent FRET. When calculating FRET based on sensitized acceptor emission, such as with 33-FRET, spurious FRET is a function of donor concentration only. Thus, the most appropriate graphical representation for distinguishing genuine from spurious FRET is to plot E (or FR) versus donor emission SCFP(DA), as was done in Fig. 5. If test data cluster in a locus above that for free fluorophores (compare CFPDsRed to CFP/DsRed), then the FRET interaction exceeds that expected for spurious FRET. By contrast, spurious FRET as measured by methods based on donor emission, such as donor dequenching, is a function solely of acceptor concentration. The analogous graphical analysis for this case would be E plotted versus acceptor emission (FA). In either case, it is crucial to make comparisons of control and test data for similar fluorophore concentrations, as illustrated in Fig. 5.
| ACKNOWLEDGEMENTS |
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This work was supported by a Whitaker Graduate Studentship (to MGE.) and research grants from the American Heart Association and National Institutes of Mental Health (to DTY).
| FOOTNOTES |
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Submitted on November 2, 2002; accepted for publication March 20, 2003.
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