$$\rightleftharpoonup{xx}$$
$$\longleftharp{xx}$$,
$$\longrightharp{xx}$$,
Conformer bias and isomerization of the HJ
The isomerization of HJ has been extensively investigated by FRET through the labeling of two adjacent arms of the junction17,18,39. The donor (Cy3) and acceptor (Alexa Fluor 647) are positioned at the two neighboring arms, R (strand 2) and X (strand 3), respectively (Figure 2A). The stacked-X isomers were assigned by their two continuous strands [i.e., Iso(1,3) or Iso(2,4)]. The ALEX FRET histogram of adjacent-label X0 shows two peaks that correspond to interchanging of the more abundant Iso(1,3) (E ~0.75) and less abundant Iso(2,4) (E ~0.40) (Figure 2B).
Single-color FRET is used to acquire time-traces for recording the rapid conformational changes in the free HJ with high temporal resolution ~10 ms via reducing the used area of the EMCCD2 camera. A representative single-color FRET time-trace of X0 junction shows the transitions between high and low FRET isomers (Figure 2B). The isomerization rates kIso(1,3)-Iso(2,4) and kIso(2,4)-Iso(1,3) obtained from the dwell time histograms of Iso(1,3) and Iso(2,4) (Figure 2C) are consistent with those reported previously17.
SMFRET demonstrates active distortion of the HJ by GEN1
HJ undergoes structural rearrangement upon binding to GEN122. Thus, the spacing between the donor and acceptor is similar in both Iso(1,3) and Iso(2,4) (Figure 3A). The smFRET binding assays were carried out in the presence of Ca2+ to prevent cleavage of the HJ. FRET histograms of the adjacent-label X0 junction at different GEN1 concentrations were acquired by ALEX (Figure 3B). The histogram is fit to two Gaussian functions: one corresponding to the free high FRET Iso(1,3), and the other corresponding to the bound GEN1-HJ population after subtracting the contribution of the Iso(2,4) from the low FRET peak.
At saturating GEN1 concentration, the FRET histogram of X0 has only a single low FRET peak corresponding to GEN1 bound to either isomer of the HJ as predicted by the model22. The apparent monomer dissociation constant (Kd-monomer-app) is determined from the hyperbolic fit of the percentages of GEN1-bound population as a function of GEN1 concentration (Figure 3C). The adjacent-label nk-X0 represents a singly nicked version HJ that mimics the product after the first incision reaction. Due to the relief of stacking strain by the simulated nick, nk-X0 is a non-isomerizing structure40 as evident from the single substrate peak at E ~0.40, unlike X0 (Figure 3D vs. Figure 3B). The structure of GEN1-nk-X0 complex is similar to that of the GEN1-X0 complex, as indicated by the similarity in FRET efficiencies (E ~0.25 for nk-X0 and 0.32 for X0) (Figure 3D vs. Figure 3B). The strong binding of GEN1 monomer to nk-X0 is demonstrated by the 40-fold lower Kd-monomer-app value than that of X0 (Figure 3E vs. Figure 3C). This tight binding may act as a safeguard mechanism against the incomplete resolution of the HJ in the unlikely event of the dissociation of GEN1 dimer or one of its monomers.
Stepwise binding of GEN1 monomer to the HJ
The binding of GEN1 monomer to the HJ followed by dimer formation is a unique feature for the eukaryotic HJ resolvase GEN1 compared to prokaryotic resolvases, which exist in dimeric form in solution21,23,41. EMSA of GEN1 at 50 pM X0 shows the stepwise association of GEN1 into higher order complexes, as indicated by the roman numerals in the upper panel (Figure 4A). The dissociation constant of GEN1 monomer determined by EMSA (Kd-monomer-EMSA) coincides with the dissociation constant from the smFRET binding assay Kd-monomer-app (Figure 4A and Figure 3C, respectively). The quantification of band II is used to calculate the equilibrium dissociation constant of GEN1 dimer (Kd-dimer-EMSA). EMSA of GEN1 at 50 pM nk-X0 demonstrates the prominent monomer binding as indicated by the very low Kd-monomer-app-EMSA which is 30-fold lower than that of X0, while its Kd-dimer-EMSA is comparable to that of X0 (Figure 4B).
Further evidence that GEN1 monomer binds and distorts the HJ is the observation of a significant number of traces of uncleaved particles with stable low FRET state (Figure 4C) in the presence of Mg2+ at low GEN1 concentrations. The number of these traces decreased upon increasing GEN1 concentration. The resolution of the HJ is driven by the tight binding of GEN1 monomer, which supports dimer formation. The monomer binding is observed in the time-traces of the uncleaved nk-X0 in Mg2+, which extends until few nanomolar concentration (Figure 4D). The GEN1 monomer binds tightly to safeguard nk-X0, eventually ensuring full resolution through dimer formation.
SMFRET resolution assay of the HJ
The term “cleavage” in smFRET assays is used interchangeably with “resolution” of the HJ, since in this assay only the product release that follows the second cleavage event is detected. The events are recorded by time-lapse single-color excitation to minimize photobleaching of the photo-sensitive acceptor over the acquisition time of ~1.3 min.
The schematic in Figure 5A illustrates the incisions of strands 1 and 3 of X0 Iso(1,3) after the binding and distortion by GEN1 of an X0 attached to the functionalized glass. Both donor and acceptor go into solution resulting in the loss of their signals after the HJ resolution. The first and second incisions are decoupled in nk-X0, which exemplifies a prototype for the partially resolved HJ. Upon binding of GEN1, nk-X0 adopts a similar structure to X0. The resolution proceeds by a single incision in strand 1, as illustrated in Figure 5B.
The simultaneous departure of the donor and acceptor after a stable low FRET state in traces of resolved X0 occurred without the emergence of an intermediate FRET (E = ~0.40) indicates that complete resolution occurs within the lifetime of the GEN1-HJ complex (Figure 5C). Therefore, these results suggest that the HJ resolution occurs within the GEN1-HJ complex lifetime. The resolution of nk-X0 also proceeds after structural rearrangement and concludes by the departure of the duplex carrying two fluorophores (Figure 5D) similar to X0.
Kinetics of GEN1 dimerization on GEN1 monomer bound HJ
Time-lapse smFRET measures τbefore-cleavage which mainly includes the time required for dimer formation and resolution of the HJ after the distortion by GEN1 monomer. Applying this technique, direct evidence is provided to support the claim that dimer formation is required for the resolution of both X0 and nk-X0, since the distribution of τbefore-cleavage is GEN1 concentration-dependent.
The apparent rate of the HJ resolution (kapp) is defined as the inverse of the mean of τbefore-cleavage at the respective GEN1 concentration. The term “apparent” is used to describe the rate of the HJ resolution, since the possibility that GEN1 remains bound to the product after the HJ resolution cannot be excluded.
The probability density functions (PDF) of the τbefore-cleavage distributions of X0 (Figure 6A) reflect the time for dimer formation, which is longer at low GEN1 concentrations, then shorter at higher GEN1 concentrations. The association and dissociation rates for the dimer, kon-dimer and koff-dimer, respectively, are determined from a bi-exponential model30. Also, the PDFs of nk-X0 (Figure 6B) show a similar distribution to X0 indicating the requirement for dimer formation.
The plot of kapp versus GEN1 concentration was fitted to a hyperbolic function. The apparent catalysis rate constants (kMax-app) of X0 and nk-X0 are 0.107 ± 0.011 s-1 and 0.231 ± 0.036 s-1, respectively (Figure 6C). The plots of kapp for X0 and nk-X0 junctions intersect at GEN1 concentration ~5.6 nM because of the faster kMax-app and slower kon-dimer of the nicked compared to the intact junction.
In summary, the relatively fast kon-dimer and slow koff-dimer lead to the progression of the forward reaction towards HJ resolution once the dimer is formed. The strong binding of GEN1 monomer to the nk-X0 junction constitutes a fail-safe mechanism against any unlikely aborted second cleavage or helps to pick up any incompletely unresolved HJs left behind by primary resolution pathways in the cell.

Figure 1: Single and multiple-channel flow cells and layout of the optical set-up.
(A) Schematic of the single-channel flow cell. (B) Schematic of the six-channel flow cell. (C) Layout of the optical set-up depicting the excitation sources, TIRF objective, dichroic mirror installed inside the filter cube, and emission filters used in the image splitter device. Please click here to view a larger version of this figure.

Figure 2: Conformer bias and isomerization of the HJ observed by FRET.
(A) Isomerization of the adjacent-label X-stacked HJ conformers named after the two continuous strands. The strands are numbered, while the arms are denoted by letters. The incision sites are shown by arrows. The positions of the donor (green) and acceptor (red) and the change in FRET upon isomerization are indicated. (B) Right panel: FRET time-trace (black) and idealized FRET trace (red) of X0 at 50 mM Mg2+. Left panel: FRET histogram of X0 at 50 mM Mg2+. The fluorescence intensities of the donor (green) and acceptor (red) are shown below. (C) The dwell time histograms of adjacent-label X0 Iso(1,3) and Iso(2,4) were fitted to single-exponential functions to determine the isomerization rates. The uncertainties indicate the 95% confidence interval of the fit. This figure has been modified from previously published literature30.

Figure 3: Active distortion of the HJ by GEN1.
(A) Structural modification of adjacentlabel HJ based on the proposed model22. (B) ALEX FRET histogram of adjacent-label X0 has a major high FRET peak (E = ~0.6) corresponding to Iso(1,3) and lower FRET peak (E = ~0.4) for Iso(2,4). The entire histogram is fit to two Gaussian functions: one corresponding to the free high FRET Iso(1,3), and the other corresponding to the bound population minus the initial contribution of Iso(2,4) to the total population. (C) The apparent monomer dissociation constant (Kd-monomer-app) is determined from a hyperbolic fit of the percentages of GEN1-bound populations as a function of GEN1 concentration. (D) FRET histograms of the adjacent-label nk-X0 at different GEN1 concentrations. The area under the low FRET (E = ~0.25) Gaussian corresponds to the percentage of the bound population. (E) The Kd-monomer-app of nk-X0 is determined from the hyperbolic fit of GEN1-bound population. The error bars represent the standard deviations from two or more experiments. This figure has been modified from previously published literature30. Please click here to view a larger version of this figure.

Figure 4: Stepwise binding of GEN1 to the HJ.
(A) Electrophoretic mobility shift assay (EMSA) of GEN1 at 50 pM X0. Upper panel: the roman numerals indicate the number of GEN1 monomers in the complex. Lower panel: binding of GEN1 monomer to X0. The apparent dissociation constants were obtained from a sigmoidal fit of the respective species and represent the average of two experiments. (B) EMSA of GEN1 at 50 pM nk-X0 demonstrates the prominent monomer binding as indicated by the very low Kd-monomer-app-EMSA. (C) FRET time-trace of bound but uncleaved adjacent-label X0 in Mg2+. Donor excitation for ~1.3 min was performed, followed by direct acceptor excitation (shaded pink region). (D) FRET time-trace of bound but uncleaved adjacent-label nk-X0 in Mg2+. This figure has been modified from previously published literature30. Please click here to view a larger version of this figure.

Figure 5: SMFRET resolution assay of the HJ.
(A) Schematic of the adjacent-label X0 Iso(1,3) after distortion by GEN1. The substrate is attached to the functionalized surface via biotin/avidin linkage. The dissociation of GEN1 after the two incisions results in the loss of both donor and acceptor that go into solution. (B) Schematic of the resolution of adjacent-label nk-X0 by cleaving strand 1. (C) Time-trace (black) at 2 mM Mg2+ of the cleavage of Iso(1,3). The onset of GEN1 binding forms a stable low FRET state until the FRET signal is abruptly lost due to cleavage. Correspondingly, the increase in the donor and the decrease of acceptor fluorescence intensities upon GEN1 binding is followed by the simultaneous disappearance of the fluorescence from both dyes upon cleavage. (D) Similarly, the time-trace of nk-X0 shows a stable low FRET state upon GEN1 binding which is concluded by the abrupt loss of the FRET signal. This figure has been modified from previously published literature30. Please click here to view a larger version of this figure.

Figure 6: Kinetics of GEN1 dimerization on GEN1 monomer bound HJ.
(A) The probability density function (PDF) plot of the τbefore-cleavage distribution of X0 illustrates its dependence on GEN1 concentration. Dwell times of the low FRET state (τbefore-cleavage) at the respective GEN1 concentration were obtained from two or more experiments and used to obtain average rates (kapp). The listed kapp rates are determined from the inverse of the mean τbefore-cleavage at the respective GEN1 concentration. The association (kon-dimer) and dissociation (koff-dimer) rates for dimer formation are calculated from a bi-exponential model38. The errors represent SEM of kapp. (B) The PDF plot of the τbefore-cleavage distributions of nk-X0 and the respective kapp rates. (C) Plot of kapp versus GEN1 concentration fitted to a hyperbolic function to determine the apparent catalytic rate (kMax-app). The plot of kapp for X0 and nk-X0 illustrates the faster initial kapp of X0 which is then surpassed by nk-X0 above [GEN1] ~5.6 nM. This figure has been modified from previously published literature30. Please click here to view a larger version of this figure.
| Buffer | Compostion |
| Binding buffer | 40 mM Tris-HCl pH 7.5, 40 mM NaCl, 2 mM CaCl2, 1 mM DTT, 0.1% BSA and 5% (v/v) glycerol |
| Buffer A | 20 mM Tris-HCl pH 8.0, 1 mM DTT and 300 mM NaCl |
| Buffer B | 20 mM Tris-HCl pH 8.0, 1 mM DTT and 100 mM NaCl |
| Buffer C | 20 mM Tris-HCl pH 8.0 and 1 mM DTT |
| Cleavage buffer | 40 mM Tris-HCl pH 7.5, 40 mM NaCl, 2 mM MgCl2, 1 mM DTT, 0.1% BSA and 5% (v/v) glycerol |
| EMSA binding buffer | 40 mM Tris-HCl pH 7.5, 40 mM NaCl, 1 mM DTT, 2 mM CaCl2, 0.1 mg/ml BSA, 5% (v/v) glycerol and 5 ng/µl Poly-dI-dC |
| Imaging buffer (binding) | 40 µL (±)-6-Hydroxy-2,5,7,8-tetramethylchromane-2-carboxylic acid (4 µM), 60 µL PCA (6 nM), 60 µL PCD (60 nM) and 840 µL of Binding buffer |
| Imaging buffer (cleavage) | 40 µL (±)-6-Hydroxy-2,5,7,8-tetramethylchromane-2-carboxylic acid (4 µM), 60 µL PCA (6 nM), 60 µL PCD (60 nM) and 840 µL of Cleavage buffer |
| Lysis buffer | 20 mM Tris-HCl pH 8.0, 10 mM β-mercaptoethanol, 300 mM NaCl and 2 mM PMSF |
| PCD storage buffer | 100 mM Tris-HCl pH 7.5, 1 mM EDTA, 50 mM KCl and 50% glycerol |
| storage buffer | 20 mM Tris-HCl pH 8.0, 1 mM DTT, 0.1 mM EDTA, 100 mM NaCl and 10% glycerol |
| TBE buffer | 89 mM Tris-HCl, 89 mM Boric acid and 2 mM EDTA |
| TE100 buffer | 10 mM Tris.HCl pH 8.0 and 100 mM NaCl |
| Tris-EDTA buffer | 50 mM Tris-HCl pH 8.0 and 1 mM EDTA pH 8.0 |
Table 1: The list of buffers and their compositions used in this study.
| Oligo | Sequence |
| X0-st1 | ACGCTGCCGAATTCTACCAGTGCCTTGCTAGGACATCTTTGCCCACCTGCAGGTTCACCC |
| X0-st2 | GGGTGAACCTGCAGGTGGG/iCy3/AAAGATGTCCATCTGTTGTAATCGTCAAGCTTTATGCCGT |
| X0-st3 | ACGGCATAAAGCTTGACGA/iAF647-dT/TACAACAGATCATGGAGCTGTCTAGAGGATCCGACTATCG |
| X0-st4 | 5’BiotinCGATAGTCGGATCCTCTAGACAGCTCCATGTAGCAAGGCACTGGTAGAATTCGGCAGCGT |
| X0-Adj | X0-st1, X0-st2, X0-st3 & X0-st4 |
| X0In_st2 | GGGTGAACCTGCAGGTGGGCAAAGATGTCCATCTGTTGTAATCGTCAAGCTTTATGCCGT |
| X0In_st4 | 5’BiotinCGATAGTCGGATCCTCTAGACAGCTCCATGTAGCAAGGCA/iCy3/TGGTAGAATTCGGCAGCGT |
| Nk-X0 | X0-st1, X0-st2, X0-nk3a, X0-nk3b & X0-st4 |
| X0-nk3a | ACGGCATAAAGCTTGACGA/iAF647-dT/TACAACAGATC |
| X0-nk3b | ATGGAGCTGTCTAGAGGATCCGACTATCG |
Table 2: SMFRET and EMSA HJ substrates. The list of oligonucleotides used for the preparation of the fluorescently labeled HJs for smFRET and EMSA. The oligos were commercially obtained. The fluorescently labeled oligos were HPLC-purified and, when possible, oligos of ≥60 bp were PAGE-purified.