Thomas S Blacker1, WeiYue Chen2, Edward Avezov3, Richard J Marsh4, Michael R Duchen4, Clemens F Kaminski2, Angus J Bain5. 1. Department of Physics & Astronomy, Centre for Mathematics and Physics in the Life Sciences and Experimental Biology, and Department of Cell & Developmental Biology, University College London, Gower Street, London WC1E 6BT, United Kingdom; Department of Physics & Astronomy, Centre for Mathematics and Physics in the Life Sciences and Experimental Biology, and Department of Cell & Developmental Biology, University College London, Gower Street, London WC1E 6BT, United Kingdom; Department of Physics & Astronomy, Centre for Mathematics and Physics in the Life Sciences and Experimental Biology, and Department of Cell & Developmental Biology, University College London, Gower Street, London WC1E 6BT, United Kingdom. 2. Department of Chemical Engineering and Biotechnology, University of Cambridge , Pembroke Street, Cambridge CB2 3RA, United Kingdom. 3. Cambridge Institute for Medical Research, University of Cambridge , Cambridge CB2 0XY, United Kingdom. 4. Department of Physics & Astronomy, Centre for Mathematics and Physics in the Life Sciences and Experimental Biology, and Department of Cell & Developmental Biology, University College London , Gower Street, London WC1E 6BT, United Kingdom. 5. Department of Physics & Astronomy, Centre for Mathematics and Physics in the Life Sciences and Experimental Biology, and Department of Cell & Developmental Biology, University College London, Gower Street, London WC1E 6BT, United Kingdom; Department of Physics & Astronomy, Centre for Mathematics and Physics in the Life Sciences and Experimental Biology, and Department of Cell & Developmental Biology, University College London, Gower Street, London WC1E 6BT, United Kingdom.
Abstract
Most fluorescent proteins exhibit multiexponential fluorescence decays, indicating a heterogeneous excited state population. FRET between fluorescent proteins should therefore involve multiple energy transfer pathways. We recently demonstrated the FRET pathways between EGFP and mCherry (mC), upon the dimerization of 3-phosphoinositide dependent protein kinase 1 (PDK1), to be highly restricted. A mechanism for FRET restriction based on a highly unfavorable κ2 orientation factor arising from differences in donor-acceptor transition dipole moment angles in a far from coplanar and near static interaction geometry was proposed. Here this is tested via FRET to mC arising from the association of glutathione (GSH) and glutathione S-transferase (GST) with an intrinsically homogeneous and more mobile donor Oregon Green 488 (OG). A new analysis of the acceptor window intensity, based on the turnover point of the sensitized fluorescence, is combined with donor window intensity and anisotropy measurements which show that unrestricted FRET to mC takes place. However, a long-lived anisotropy decay component in the donor window reveals a GST-GSH population in which FRET does not occur, explaining previous discrepancies between quantitative FRET measurements of GST-GSH association and their accepted values. This reinforces the importance of the local donor-acceptor environment in mediating energy transfer and the need to perform spectrally resolved intensity and anisotropy decay measurements in the accurate quantification of fluorescent protein FRET.
Most fluorescent proteins exhibit multiexponential fluorescence decays, indicating a heterogeneous excited state population. FRET between fluorescent proteins should therefore involve multiple energy transfer pathways. We recently demonstrated the FRET pathways between EGFP and mCherry (mC), upon the dimerization of 3-phosphoinositide dependent protein kinase 1 (PDK1), to be highly restricted. A mechanism for FRET restriction based on a highly unfavorable κ2 orientation factor arising from differences in donor-acceptor transition dipole moment angles in a far from coplanar and near static interaction geometry was proposed. Here this is tested via FRET to mC arising from the association of glutathione (GSH) and glutathione S-transferase (GST) with an intrinsically homogeneous and more mobile donor Oregon Green 488 (OG). A new analysis of the acceptor window intensity, based on the turnover point of the sensitized fluorescence, is combined with donor window intensity and anisotropy measurements which show that unrestricted FRET to mC takes place. However, a long-lived anisotropy decay component in the donor window reveals a GST-GSH population in which FRET does not occur, explaining previous discrepancies between quantitative FRET measurements of GST-GSH association and their accepted values. This reinforces the importance of the local donor-acceptor environment in mediating energy transfer and the need to perform spectrally resolved intensity and anisotropy decay measurements in the accurate quantification of fluorescent protein FRET.
Förster Resonance
Energy Transfer (FRET) describes the nonradiative
transmission of electronic energy from a donor molecule to a nearby
acceptor due to dipole–dipole coupling.[1,2] FRET
measurements have found widespread application in the study of nanoscale
processes in the biosciences, such as changes in conformation and
intermolecular interactions.[3,4] FRET is well understood
for homogeneous populations of donors and acceptors,[2,5] but in recent years, the use of genetically encodable fluorescent
protein FRET pairs has become widespread.[6] Many fluorescent proteins exhibit multiexponential fluorescence
decay kinetics,[7−9] indicating the existence of multiple emitting states,
molecular conformations, or local environments. Noninteracting populations
in fluorescent protein FRET have previously been recognized.[10−12] However, it remains an open question as to whether these arise as
an intrinsic property of the dipole–dipole interaction, environmental
heterogeneity such as variations in the FRET interaction geometry,
or misfolding leading to the production of subpopulations of chromophores
incapable of participating in FRET.[10,13]Accurate
quantitative application of fluorescent protein FRET is
crucially dependent on the correct understanding of the underlying
photophysics. This point is strongly evidenced by our recent work
on the homodimerization of 3-phosphoinositide dependent kinase-1 (PDK1)
using the standard FRET pair of enhanced green fluorescent protein
(EGFP) and mCherry (mC).[14] Both proteins
exhibit intrinsic biexponential fluorescence decays.[15] Combining time-resolved fluorescence intensity and anisotropy
measurements of the donor and acceptor, we found that FRET was highly
restricted, involving transfer from only one emitting state of EGFP
to the minority decay component of mC. In contrast, when emulating
unrestricted FRET by the optical excitation of mC across the donor–acceptor
spectral overlap, no such constraint was observed.[15] It was calculated that conventional intensity based FRET
techniques,[16−21] which would not report this restriction, would lead to an underestimation
of the true PDK1 interacting fraction by over an order of magnitude.[14]We proposed two mechanisms for the FRET
restrictions between EGFP
and mC.[15] First, that the intrinsic energy
transfer rates for the two donor (EGFP) populations were widely dissimilar.
Given close fluorescence lifetimes for the two populations (2.4 ns
and 3.1 ns[15]) this hypothesis would imply
a low radiative rate coupled with a “compensating” fast
nonradiative decay channel for the FRET inactive donors. However,
precision measurements of the stimulated emission depletion (STED)
dynamics in recombinant EGFP in our group indicate that both emitting
populations have strong transition dipole moments.[22] This mitigates against a significant difference in the
radiative decay rates of the two populations. The second mechanism
recognized that, in a far from coplanar FRET interaction geometry,
small differences in the relative donor–acceptor transition
dipole moment angles for the two populations would give rise to a
large disparity in the κ2 orientation parameters[23] and the corresponding FRET rates.Here
we test the second hypothesis by probing FRET to mC in a system
where EGFP is replaced by the synthetic fluorophore Oregon Green 488[24] (OG). OG is spectrally similar to EGFP but is
characterized by a monoexponential fluorescence lifetime of ∼4
ns.[25] Moreover, given its considerably
smaller hydrodynamic volume and molecular weight compared to EGFP
(880 Å3 and 0.5 kDa vs 58000 Å3 and
29 kDa[25−27]), OG displays a significantly higher degree of orientational
mobility. FRET with OG as opposed to EGFP should therefore, in principle,
be characterized by less complex population dynamics and should sample
a greater range of donor–acceptor orientations.
Fluorescence
Dynamics in FRET between Oregon Green and mCherry
The FRET
system studied here consists of mC fused to the enzyme
glutathione S-transferase (GST) and its substrate, glutathione (GSH),
attached to OG. FRET between OG and mC can occur when GSH attaches
to its binding site on GST. The affinity of GSH for GST is sufficiently
high (KD ≈ 20 μM[28]) that their binding is routinely exploited in
the purification of recombinant proteins,[29,30] ensuring a significant population of donor–acceptor complexes
for FRET measurements. An overview of the fluorescence and FRET dynamics
in the OG-GSH/GST-mC system is illustrated in Figure . Fluorescence following two-photon excitation
of OG at 880 nm is detected in two spectral windows: 515–540
nm (the donor window ΔλD) and 630–650
nm (the acceptor window ΔλA). The contribution
of mC fluorescence in the donor window is negligible (see Supporting Information Appendix S1); however,
there is unavoidable “bleed through” of OG emission
superimposed on the sensitized mC emission arising from FRET (see Figure ). Characterization
of the intrinsic fluorescence and anisotropy properties of OG-GSH
(donor) and GST-mC (acceptor) is thus an essential first step in the
analysis of the energy transfer dynamics of these molecules.
Figure 1
Illustration
of the fluorescence dynamics between OG and mC arising
from the association of GSH and GST. Free and bound OG-GSH is excited
by two-photon excitation at 880 nm. This causes intrinsic OG and sensitized
(FRET excited) mC fluorescence which collectively span 490–750
nm. Time-resolved fluorescence intensity and anisotropy measurements
are made in two spectral windows illustrated by the gray areas (filter
transmission curves) superimposed on the OG (solid line) and mC (dotted
line) emission spectra. Donor window measurements report solely OG
fluorescence dynamics (spontaneous emission from free OG-GSH and spontaneous
emission plus nonradiative FRET transfer from OG-GSH-GST-mC). The
contribution from OG (donor) bleed through in the acceptor window
leads to more complex intensity and anisotropy dynamics, necessitating
the new approaches applied in this work.
Illustration
of the fluorescence dynamics between OG and mC arising
from the association of GSH and GST. Free and bound OG-GSH is excited
by two-photon excitation at 880 nm. This causes intrinsic OG and sensitized
(FRET excited) mC fluorescence which collectively span 490–750
nm. Time-resolved fluorescence intensity and anisotropy measurements
are made in two spectral windows illustrated by the gray areas (filter
transmission curves) superimposed on the OG (solid line) and mC (dotted
line) emission spectra. Donor window measurements report solely OG
fluorescence dynamics (spontaneous emission from free OG-GSH and spontaneous
emission plus nonradiative FRET transfer from OG-GSH-GST-mC). The
contribution from OG (donor) bleed through in the acceptor window
leads to more complex intensity and anisotropy dynamics, necessitating
the new approaches applied in this work.
Materials and Methods
Fluorescent Probes
Production of
OG-GSH and recombinant
GST-mC has been detailed elsewhere.[24] In
this work, FRET was studied in mixtures of approximately 60 μM
OG-GSH and 30 μM GST-mC in phosphate buffered saline at pH 7.4.
Given a KD of 20 μM for the GSH-GST
interaction, this implied that approximately a quarter of the total
OG-GSH would be part of a complex with GST-mC.[28] Photophysical characterization of the isolated donor and
acceptor molecules was performed on solutions of approximately 10
μM OG-GSH and 4 μM GST-mC, respectively. For two-photon
characterization (see Supporting Information Appendix S2), unconjugated OG was obtained from Life Technologies
(Paisley, UK).
Fluorescence Intensity and Anisotropy Measurements
Time-resolved fluorescence measurements were performed using time-correlated
single photon counting (TCSPC)[31] using
an apparatus described previously.[15,32] Experimental
procedures are detailed in Supporting Information Appendix S3. Fluorescence intensity and anisotropy analysis followed
established protocols[15,32] (see Supporting Information Appendix S4).
Results and Discussion
OG-GST
and GST-mC: Intrinsic Fluorescence and Anisotropy Dynamics
Measurements of the fundamental population and rotational dynamics
of the isolated donor and acceptor molecules are detailed in Supporting Information Appendix S5. Akin to OG
in solution,[25] OG-GSH fluorescence decayed
with a single lifetime of 4.26(±0.06) ns and yielded rotational
correlation times of 0.251(±0.008) ns and 0.279(±0.003)
ns with single-photon and two-photon excitation, respectively. Measurements
emulating unrestricted FRET to GST-mC used single photon excitation
at wavelengths spanning the donor–acceptor spectral overlap
with fluorescence detection in the acceptor window (Figure ). Across this range, GST-mC
exhibited a biexponential fluorescence decay with a constant mean
lifetime of 1.564(±0.002) ns, in line with previous measurements
of recombinant mC.[15] Attachment to GST
leads to a less marked disparity in the short and long lifetimes,
referred hereafter as states 1 and 2, respectively, with overlap-weighted
average values of 1.315(±0.002) ns and 1.897(±0.003) ns,
with 57.2(±0.2)% of GST-mC in the short lifetime state, lower
than for mC alone.[15] Weighted by the spectral
overlap, the fluorescence anisotropy of GST-mC decayed with a minority
amplitude fast decay component of 1.1(±0.1) ns and a majority
component with a longer rotational correlation time of 28(±1)
ns. Rigid body rotational diffusion, where each of these components
corresponds to the motion of a distinct species, was ruled out by
poor fits of this composite anisotropy model[32] (Supporting Information Equation S6,
χR2 = 4.8 ± 0.5) to the data. Models
of restricted rotational diffusion of mC relative to GST were found
to be more appropriate, with the fitting parameters indicating constrained
mC motion within an angular range of between 15° and 20°
(see Supporting Information Appendix S5).
Donor Window Intensity and Anisotropy Decays in the Presence
of FRET
The differential equations describing OG-mC FRET
and their solutions are similar in form to our previous work[15] and are set out in Supporting Information Appendix S6. Following two-photon excitation of
the OG-GSH/GST-mC mixture at 880 nm, at which direct acceptor excitation
can be neglected (Supporting Information Appendix S2), detection of fluorescence in the donor window should
in principle yield decay dynamics described byHere F1I and F2I are the fraction of donors participating in FRET to
the two emitting
states of mC with corresponding FRET rates kFRET1 and kFRET2. Single-, two-,
and three-component fits to the data (Figure ) were performed. From the weighted residuals
it was clear that a single exponential decay was a poor description
of the fluorescence dynamics. The three-component fit gave a slightly
lower χR2 value than that for the two-component
model (1.4 vs 1.8). However, the uncertainties in the fitted values
were unacceptably large, suggesting overparametrization.[33] The two-component fit extracted lifetimes of
4.213(±0.009) ns and 1.33(±0.07) ns. By comparison with
the fluorescence lifetime measurements on pure OG-GSH, it was clear
the former corresponded to noninteracting OG-GSH, τDNI = 1/kFD with the latter corresponding
to the OG-GSH population undergoing FRET. This suggested a total interacting
fraction F1I + F2I = 0.136(±0.005), based on the relative
amplitudes of the decay components. From eq , two interacting donor lifetimes are expected,
arising from FRET to each of the two states in GST-mC, corresponding
to τD1 = 1/(kFD+kFRET1) and τD2 = 1/(kFD+kFRET2). The recovery of only one interacting lifetime corresponds to one
of two possible scenarios. First, that FRET to mC had taken place
exclusively to one state, either the short lifetime state (kFRET2 = 0 and F2I = 0) or the longer lived state (kFRET1 = 0 and F1I =
0) or, second, that the rates of energy transfer to both states were
sufficiently close as to be indistinguishable in the overall fluorescence
decay.
Figure 2
Donor window fluorescence intensity decay of a mixture of 60 μM
OG-GSH and 30 μM GST-mC with 880 nm excitation. The decay departs
from the single exponential found for OG-GSH and is best fit to a
biexponential decay with the 1.33 ns lifetime corresponding to the
OG population undergoing FRET with an interacting fraction FI = (F1I+F2I) = 0.136(±0.005).
The lifetimes yield a FRET rate of 0.51(±0.04) ns–1.
Donor window fluorescence intensity decay of a mixture of 60 μM
OG-GSH and 30 μM GST-mC with 880 nm excitation. The decay departs
from the single exponential found for OG-GSH and is best fit to a
biexponential decay with the 1.33 ns lifetime corresponding to the
OG population undergoing FRET with an interacting fraction FI = (F1I+F2I) = 0.136(±0.005).
The lifetimes yield a FRET rate of 0.51(±0.04) ns–1.The donor window fluorescence
anisotropy should, in principle,
contain population weighted contributions from noninteracting freely
rotating OG-GSH and a fast lifetime but more slowly rotating component
arising from energy transfer within the OG-GSH-GST-mC complex. Due
to the fast transfer dynamics (kFRET =
0.5 ns–1), the contribution of the latter to the
total fluorescence signal by 2 ns after excitation was calculated
to be less than 6% (see Supporting Information Appendix S7). Emission in the donor window should therefore be dominated
by noninteracting OG. The measured anisotropy decay is shown in Figure , where it can be
seen in the inset that FRET does not alter the early time dynamics
as would be expected for rapid large angle acceptor motion.[34,35] The longer lived anisotropy decay component observed in the OG-GSH
GST-mC solution implies the presence of a subpopulation of associating
but FRET inactive GSH and GST. An inhomogeneous OG-GSH population
is indicated by the poor fit of homogeneous single and double exponential
decays to R(t) seen from the weighted
residuals. The fluorescence anisotropy of a heterogeneous (composite)
system is given by a time dependent weighted sum of the individual
anisotropies (Supporting Information Equation
S6)[15,36]where the WI(t) and WNI(t) are the time dependent weighting factors of the interacting
and
noninteracting OG-GSH populations, respectively (Supporting Information Equation S7), and ηfree denotes the fraction of noninteracting OG-GSH that is not bound
to GST-mC. The anisotropy is best fit by this model when ROGbound(t) corresponds to
the restricted rotational diffusion of OG with a cone angle of 25(±6)°,
a local diffusion coefficient D = 0.10(±0.05)
ns–1, and ηfree = 0.94(±0.01).
A full description of the analysis is set out in the Supporting Information Appendix S7.
Figure 3
Donor window fluorescence
anisotropy of OG-GSH. The inset is a
comparison of the early time anisotropy for a pure solution of OG-GSH
and the OG-GSH GST-mC mixture. R(t) is best described by a composite anisotropy model (black line)
in which 6(±1)% of the noninteracting OG-GSH is bound to GST-mC.
A fully nonbound noninteracting fraction (ηfree =
1) is unable to reproduce the observed anisotropy (gray line).
Donor window fluorescence
anisotropy of OG-GSH. The inset is a
comparison of the early time anisotropy for a pure solution of OG-GSH
and the OG-GSH GST-mC mixture. R(t) is best described by a composite anisotropy model (black line)
in which 6(±1)% of the noninteracting OG-GSH is bound to GST-mC.
A fully nonbound noninteracting fraction (ηfree =
1) is unable to reproduce the observed anisotropy (gray line).The environment of OG-GSH and
its local motion when attached to
GST is less constrained and more rapid than for EGFP in the PDK1 FRET
system (25° vs 15° and 0.1 ns–1 vs 0.01
ns–1).[15] Given an interacting
fraction of 13.6(±0.5)% (Figure ), 86.4(±0.5)% of the total OG-GSH population
is FRET inactive. From the composite anisotropy analysis, 6(±1)%
of this population corresponded to FRET inactive OG-GSH bound to GSH.
This is a significant result, as while this corresponds to just 5.2(±0.9)%
of the total OG-GSH population, it represents 28(±3)% of the
total bound OG-GSH population. Thus, despite the increase in conformational
freedom, FRET does not occur in these complexes. It should be noted
that conventional intensity decay measurements are insensitive to
this phenomenon, which contribute to overestimates of the dissociation
constant of GSH and GST previously made using this FRET pair[24] (see Supporting Information Appendix S8).Noninteracting fluorescent protein populations
have been observed
in previous studies and have been ascribed to the presence of unmatured
mC or photoconversion of its chromophore.[10,37,38] From our recent work, we know that restricted
FRET to only one of the two emitting mC populations is possible.[15] To fully investigate the nature of the incomplete
FRET between OG and mC, fluorescence intensity and anisotropy measurements
in the acceptor window are crucial.
Acceptor Window Intensity
and Anisotropy Measurements
As depicted in Figure , the composite fluorescence
in the acceptor window arises from both
sensitized acceptor fluorescence and the bleed through from interacting
and noninteracting donor populations.[15] The population dynamics that contribute to the acceptor window fluorescence
are set out in detail in Supporting Information Appendix S6. With the possibility of FRET to two states in mC, the
acceptor window intensity decay I(t,ΔλA) has the formB(ΔλA) quantifies the proportion
of acceptor fluorescence detected relative
to the donor,[15] and X is the FRET amplitude to state i with
fluorescence decay rate kFA.For states with fluorescence
lifetimes that
vary over the donor–acceptor spectral overlap, X1 and X2 can be modeled as
possessing a single lifetime calculated from the overlap-weighted
averages[15] (see Supporting Information Appendix S9). The first two terms in eq correspond to the bleed through
of interacting donor fluorescence, the third and fourth describe the
growth and decay the acceptor emission as a result of FRET transfer,
and the final term corresponds to the bleed through of the noninteracting
donor fluorescence. In practice the interacting donor bleed through
terms have a lower weighting relative to the noninteracting donor
bleed through (F1I+F2I = 0.136 vs 1-F1I-F2I = 0.864) and only contribute to the fluorescence at early times.
However, even with prior knowledge of some parameters (e.g., kFD, F1I+F2I, kFA1, kFA2), the number of independent decay components involved
cannot be resolved reliably, even with good quality time-resolved
fluorescence data.[33] To obtain a fuller
picture of the FRET dynamics, the measurement of additional fluorescence
observables is necessary.[15] In our study
of FRET between EGFP and mC arising from PDK1 homodimerization this
was provided by the acceptor window fluorescence anisotropy.[15] The large value of the donor–acceptor
angle θDA (65°) and the slow rotational diffusion
times of both interacting and noninteracting species relative to the
energy transfer and excited state lifetimes (krot ≈ 0.05 ns–1 vs kFRET ≈ 0.2 ns–1 and kF ≈ 0.4 ns–1) gave rise to an
acceptor window anisotropy that principally depended on the time dependent
weighting of a positive anisotropy from the noninteracting donor population
with that of the negative anisotropy created by FRET to the acceptor.[15] Had FRET to mC been unrestricted, the anisotropy,
while exhibiting a rapid drop due to FRET (observed) as the intensity
weightings of EGFP and mC became comparable, would have been followed
by a subsequent rise as the donor weighting became dominant due to
the significantly longer average lifetime of EGFP compared to mC (2.75
ns vs 1.57 ns).[15] The absence of this rise
in the anisotropy could only occur if FRET had exclusively populated
the minority (longer lived) mC species. With OG-GSH/GST-mC, however,
the rotational depolarization of the noninteracting donor emission,
FRET, and the local motion of OG in the GSH-GST complex all occur
on comparable time scales. Consequently the acceptor window anisotropy
could not on its own be used as an unequivocal measure of the population
dynamics of FRET transfer.Despite the underlying complexity
of the acceptor window intensity signal (eq ), we have found that a biexponential rise
(negative amplitude component) and decay (positive amplitude component)
model provides the most accurate description of the measured data
possible, even with high signal-to-noise levels.[15,39] In the current system, as shown in Figure , we observe a rise lifetime of τrise = 0.25(±0.01) ns, a decay lifetime of τdecay = 3.64(±0.02) ns, and ratio of rise to decay amplitudes
of |Arise| = 0.79(±0.03). Despite
this fit accurately describing the shape of the decay, with χR2 = 1.7 and mean parameter uncertainties of 3(±1)%,
previous work in our group has shown that it is not possible to relate
these quantities to the underlying parameters describing the FRET
interaction, with the degree of noninteracting bleed through (here
around 70% of the measured signal, see Supporting Information Appendix S10) playing a significant role in distorting
the rise and decay times in the biexponential fits and their corresponding
amplitudes (see Supporting Information Appendix
S11).[39] However, the time at which the
sensitized fluorescence plus donor bleed through reached its maximum
value, or turnover point, could be directly related to the FRET parameters.
This physically significant feature corresponds to the point at which
the rate of increase in the fluorescence intensity due to FRET equals
the rate of decrease of fluorescence due to emission by both sensitized
acceptors and donor bleed through. This position is therefore a function
of all the parameters describing the FRET interaction, allowing the
determination of unknown parameter values from the output of a simple
biexponential fit.[39]
Figure 4
Fluorescence intensity
decay of a mixture of 60 μM OG-GSH
and 30 μM GST-mC with 880 nm excitation and detection in the
acceptor window. Biexponential fitting yields rise and decay times
of 0.25(±0.01) ns and 3.64(±0.02) ns, respectively. The
fit parameters imply a turning point of the data set of 0.66(±0.02)
ns.
Fluorescence intensity
decay of a mixture of 60 μM OG-GSH
and 30 μM GST-mC with 880 nm excitation and detection in the
acceptor window. Biexponential fitting yields rise and decay times
of 0.25(±0.01) ns and 3.64(±0.02) ns, respectively. The
fit parameters imply a turning point of the data set of 0.66(±0.02)
ns.Plots of eq for
FRET to only state 1 or state 2, or in equal proportion to both states,
are shown in Figure A. The turning points of the curves were seen to be sensitive to
the proportion of FRET to each state. FRET to only the short lifetime
mC state resulted in a turnover point at 0.58 ns, whereas FRET to
only the long lifetime state caused a turnover at 0.72 ns. Equal FRET
to both states resulted in a turnover point halfway between the two.
As such, it appeared that there was a linear dependence of the turnover
point on the fraction of FRET to each state. This relationship was
theoretically verified by using MATLAB (The Mathworks, USA) to numerically
solve eq for its turning
point as the proportion of FRET to states 1 and 2 was varied. The
turning point was linearly correlated with the fraction of total donors
interacting with acceptor state 1, f, with a gradient
of −0.1373(±0.005) ns and a y-intercept
(all FRET to state 2, f = 0) of 0.7157(±0.0003)
ns. However, this solution neglects the impact of any potential artifacts
introduced by the presence of an IRF in real acceptor window fluorescence
decay data. We therefore performed numerical simulations of the iterative
reconvolution fitting process on simulated data sets (Supporting Information Appendix S11). It was
confirmed that the turning point of the data decreased linearly with f, as shown in Figure B. We observed that the influence of the IRF (fwhm
∼60 ps) was to shift the turning point to later times by, on
average, 0.026(±0.005) ns. Nonetheless, a linear relationship
was maintained, with gradient of −0.1540 (±0.0005) ns
and intercept of 0.7504 (±0.0003) ns. Therefore, based on these
simulations, the turning point of 0.66 (±0.02) ns extracted from
the real acceptor window data would imply that 60(±10)% of the
interacting acceptors are in the short lifetime state. This mirrors
the 57.2(±0.2)% of short lifetime GST-mC present with optical
excitation weighted by the donor–acceptor spectral overlap,
suggesting that acceptor state selection is completely relaxed in
the OG-GSH-GST-mC system.
Figure 5
(A) The turning point of the theoretical acceptor
window fluorescence
decay based on eq is
sensitive to changes in the proportion of FRET to the two states available
in GST-mC. (B) In numerical simulations, the turning point position
decreased linearly as the fraction of interacting acceptors in the
short lifetime state, f, was varied from 0 to 1.
The experimentally observed turning point of 0.66(±0.02) ns therefore
implied that 60(±10)% of the acceptors were in the short lifetime
state, reflecting that observed with optical excitation.
(A) The turning point of the theoretical acceptor
window fluorescence
decay based on eq is
sensitive to changes in the proportion of FRET to the two states available
in GST-mC. (B) In numerical simulations, the turning point position
decreased linearly as the fraction of interacting acceptors in the
short lifetime state, f, was varied from 0 to 1.
The experimentally observed turning point of 0.66(±0.02) ns therefore
implied that 60(±10)% of the acceptors were in the short lifetime
state, reflecting that observed with optical excitation.The anisotropy decay of the FRET mixture in the
acceptor window
will be an associated combination of the anisotropy decays of the
sensitized acceptor and the donor bleed through. As shown in Figure A, a model in which
the donor–acceptor angle θDA remains static
over the time scales at which FRET occurs (Supporting Information Appendix S12) could not be fit to the measured
data set. For example, the model giving the lowest χR2 (θDA = 40°) fitted well to the
tail of the decay, but the anisotropy was greatly underestimated at
delay times below 1.5 ns. Thus, it is likely that the functional form
of the sensitized acceptor fluorescence anisotropy decay was made
more complex due to the orientational freedom of the donor.
Figure 6
(A) Fluorescence
anisotropy decay of a mixture of 60 μM OG-GSH
and 30 μM GST-mC with 880 nm excitation and detection in the
acceptor window (630–650 nm). The fixed dipole angle model
cannot be fit to the data with χR2 minimized
at an unacceptable value of 3.05 with θDA ∼
40°. (B) Predicted form of the intrinsic acceptor anisotropy
by subtraction of the calculated donor bleed through from the composite
anisotropy measured in (A). The initial rise, plateau, and decay imply
a time-varying θDA consistent with the measured orientational
freedom of both the donor and acceptor. (C) Schematic structure of
the OG-GSH-GST-mC complex, the negative initial anisotropy recovered
in (B) implies a close to 60° value for θDA.
(A) Fluorescence
anisotropy decay of a mixture of 60 μM OG-GSH
and 30 μM GST-mC with 880 nm excitation and detection in the
acceptor window (630–650 nm). The fixed dipole angle model
cannot be fit to the data with χR2 minimized
at an unacceptable value of 3.05 with θDA ∼
40°. (B) Predicted form of the intrinsic acceptor anisotropy
by subtraction of the calculated donor bleed through from the composite
anisotropy measured in (A). The initial rise, plateau, and decay imply
a time-varying θDA consistent with the measured orientational
freedom of both the donor and acceptor. (C) Schematic structure of
the OG-GSH-GST-mC complex, the negative initial anisotropy recovered
in (B) implies a close to 60° value for θDA.The form of RAI(t) was estimated by performing
an intensity-weighted subtraction
of the theoretical donor window anisotropy contribution predicted
from the experimental data (Figure B) and also from the best (arbitrary) mathematical
representation of the data provided by a three exponential fit (χR2 = 1.1), yielding the dashed line in Figure B, as detailed in Supporting Information Appendix S12. RAI(t) is characterized
by a negative anisotropy (−0.13) at early time followed by
a rise peaking around 0.4 ns later at approximately 0.24, followed
by a slower decay. Based on the approach of Lipari and Szabo,[40] the diffusion coefficient of the donor motion
in OG-GSH-GST-mC was calculated to be the same order of magnitude
as kFRET (0.1 ns–1 compared
to 0.5 ns–1). In this regime, an analytical model
for RAI(t)
developed by Tanaka et al.[35] is seen to
be sensitive to the relative orientations of the donor and acceptor
rotation axes and their diffusion coefficients[41,42] yielding rise and decay characteristics similar to Figure B. At early times RAI(t) will largely correspond
to the orientational dynamics of FRET transfer (i.e., a time evolving
θDA), and at later times the intrinsic rotational
dynamics of mC will play a larger role. The early time value of RAI(t) (via Supporting Information Equation S49) thus corresponds
to an initial value for θDA of around 60° decreasing
to 45° as shown in Figure B. These observations, while largely qualitative, indicate
that the FRET interaction is far from static, reflecting the orientational
freedom of both donor and acceptor in the GSH-GST complex (Figure C). Approaches such
as molecular dynamics simulations of RAI(t) as recently demonstrated by Nunthaboot
et al.[43] may allow a more quantitative
investigation of this system.
Conclusions
By
combining time-resolved fluorescence intensity and anisotropy
measurements of the OG-GSH-GST-mC complex, we have shown that the
state restriction observed in fluorescent protein to fluorescent protein
FRET is relaxed when the donor is replaced by a more mobile synthetic
fluorophore. This demonstrates that the restricted geometry of a fluorescent
protein tandem construct, which will remain effectively static on
the time scales over which FRET occurs, is a significant cause of
the differential energy transfer dynamics between the heterogeneous
excited state populations.[15] As such, the
precise configuration of a fluorescent protein FRET pair will not
only govern the fluorescence decay rate of the interacting donor but
also cause the fluorescence lifetime and quantum yield of the sensitized
acceptor to differ from that observed with direct optical excitation.
Failure to account for these phenomena in both intensity-based and
time-resolved fluorescence studies could therefore result in greatly
inaccurate quantitative measurements of interacting fractions and
FRET efficiencies.In the OG-GSH-GST-mC system, the rapid depolarization
of the donor
fluorescence ruled out use of the (composite) acceptor window anisotropy
as a means of probing the acceptor population dynamics. A new approach
to the analysis of the acceptor window fluorescence intensity showed
that the measured turnover point of the data was sensitive to the
proportion of FRET to each state to within ±10%, a degree of
precision largely determined by the ∼0.6 ns separation of the
two acceptor lifetimes. As the turning point is sensitive to each
parameter describing the FRET interaction (Supporting Information Equation S45), and only relies on a simple biexponential
fit, this method of analysis could be applicable in situations where
FRET dynamics require extraction from lower signal-to-noise data,
as for example in live cell fluorescence lifetime imaging microscopy
(FLIM).Despite the apparent relaxation of state restriction
in FRET to
mC, donor window anisotropy measurements revealed the presence of
a bound but FRET-inactive OG-GSH population pointing to the presence
of FRET inactive mC. FRET inactive acceptor states have previously
been ascribed to “nonmatured” protein populations with
altered spectral characteristics, protonated forms of the fluorophore,
photoconversion during the FRET process, or excited-state blinking.[10−12] Vogel et al. considered the existence of unfavorable, static donor–acceptor
geometries as the most likely cause of incomplete FRET between fluorescent
proteins.[12] Our work points to this as
the major cause of FRET restriction between EGFP and mC in the PDK1
homodimer.[15] However, the discovery of
a noninteracting population of OG-GSH-GST-mC complexes points to a
continuing role for both photophysical and protein structural heterogeneity
as factors for consideration in the interpretation of incomplete FRET
with fluorescent proteins.In conclusion, we have shown that
energy transfer restrictions
are relaxed by increased angular freedom in the molecular frame, emphasizing
the importance of the local donor–acceptor geometry in controlling
fluorescent protein FRET. Nevertheless, incomplete energy transfer
in OG-GSH-GST-mC remained, the detection of which was made possible
through donor window anisotropy measurements, a nonstandard FRET technique.
Our work demonstrates both the advantage and necessity of a full understanding
of the photophysics and the local environment of each donor–acceptor
pair and also the critical importance of performing spectrally resolved
intensity and anisotropy decay measurements in the accurate quantification
of fluorescent protein FRET.
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