Mechanochemical coupling and bi-phasic force-velocity dependence in the ultra-fast ring ATPase SpoIIIE
- University of California, Berkeley, United States
- Lawrence Berkeley National Laboratory, United States
- Berkeley and the Lawrence Berkeley National Laboratory, United States
Figures
Figure 1 with 1 supplement
Optical tweezer experimental geometry in constant force and passive mode.
(a) Optical tweezer geometry. (b) Representative single-molecule traces of SpoIIIE translocation in passive mode. The trap position is fixed and as SpoIIIE pulls the bead out of the trap, the force on the trapped bead increases. (c) Representative single-molecule traces of SpoIIIE translocation in constant force mode. The optical trap position is continuously adjusted to maintain a constant force on the trapped bead. (d) Comparison of pause-free velocity measured in constant force mode and passive mode at [ATP]=3 mM. Error-bars represent the standard error of the mean (SEM). (e) Trace displaying a slip in constant force mode. (f) Slip density at different opposing force and [ATP]. Error bars represent the square root of the number of events.
Figure 1—figure supplement 1
Slipping behavior of SpoIIIE.
(a) Single-molecule trace of SpoIIIE translocation acquired in passive mode. Red dots indicate force where a slip was detected. (b) Histogram of pull forces. (c) Median pull force of SpoIIIE across various ATP conditions. Error bars display the standard error estimated from bootstrapping.
Figure 2 with 4 supplements
Force-velocity dependence displayed of SpoIIIE.
(a) Pause-free translocation velocity versus opposing force at various [ATP], 5 µM ADP, and 5 µM Pi. Error-bars represent the SEM. (b) Hill coefficient derived from fitting translocation velocity versus [ATP] at various opposing forces. Error bars represent the standard error of the fit (SEF). (c) Pause-free velocity versus opposing force compiled from data at 5, 3, and 2 mM ATP. Error-bars represent the SEM. Gray and blue curves represent fits to the two different models depicted in the inset. Analytic expressions and fit parameters for the models are given in Figure 2—figure supplement 2. (d) Generalized kinetic cycle for an ATPase subunit. The first block consists of all rate constants k±1, k±2, … up to the first irreversible transition kj (purple). The second block comprises the remaining rate constants (green). (e) Pause-free velocity versus opposing force at various [ADP] and 3 mM ATP. (f) Vmax and KM values as a function of [ADP] at low opposing force (5 pN). Solid lines are fits to a competitive inhibition model, Ki = 129 ± 19 μM. Error-bars represent the SEF. (g) Pause-free velocity versus opposing force under high [Pi] conditions and 3 mM ATP. Error bars represent the SEM.
Figure 2—figure supplement 1
Michaelis-Menten fits to SpoIIIE translocation.
(a) Passive mode traces of SpoIIIE translocation across various [ATP]. (b) Hill coefficient derived from fitting translocation velocity versus [ATP] at various opposing forces. Error bars represent the standard error of the fit (SEF). (c) Examples of Michaelis-Menten fits to translocation data at different opposing forces. (d) Representative translocation traces acquired in passive mode at 3 mM ATP and various ADP concentrations. Error-bars represent the SEM. (e) Lineweaver-Burke plots at various [ADP] (v denotes the pause-free velocity). Dotted lines represent the Michaelis-Menten fits. The solid purple line marks the y-intercept. Error bars represent the SEM.
Figure 2—figure supplement 2
Diagrams of mechanochemical models with two force-dependent transitions.
(a) Diagram, analytical expression, and fit parameters for the linear model. Analytical expression for the force-velocity dependence, and parameters derived from fitting this expression to the consolidated force-velocity curve depicted in Figure 2C. (b) Diagram illustrating the branched model.
Figure 2—figure supplement 3
SpoIIIE slipping behavior in presence of ADP.
(a) Median slip force of SpoIIIE as a function of [ADP] at high (3 mM) and low (0.5 mM) [ATP]. Error bars represent the SEM. (b) Pause density versus [ADP] at both high and low ATP concentrations. Error bars display the square root of the pause number. (c) Mean pause durations calculated from single-exponential fits versus ADP concentration at high and low [ATP]. Error bars represent the 95% CI of the fit.
Figure 2—figure supplement 4
SpoIIIE pause detection and pause removal.
(a) Pause-free translocation velocity versus opposing force at various [ATP], reproduced from figure panel 2A. (b) Translocation velocity versus opposing force. Pauses were not removed for velocity calculations. (c) Examples of pauses scored by the pause detection algorithm (red) in data collected in passive mode at two ATP conditions.
Figure 3
Characterization of spontaneous pausing by SpoIIIE.
(a) Examples of SpoIIIE translocation trajectories acquired at low force (5 pN) and various ATP concentrations with detected pauses highlighted in red. (b) Measured pause density (solid lines) and corrected pause density (dashed lines) accounting for the missed pauses versus pause-free velocity at 5 pN. (c) Measured and corrected pause densities versus ATP concentration at 5 pN. (d) The mean pause lifetime calculated by fitting the distribution of pause durations to a single exponential (see inset). Error-bars represent the SEF. (Inset) Distribution of pause durations at 250 μM [ATP] (green) fit to a single-exponential decay (dashed line). The mean pause lifetime estimates at high [ATP] are less accurate due to the low number of detectable pauses. (e) Measured pause density versus opposing force at various [ATP]. (f) Mean pause lifetimes versus opposing force at the two lowest [ATP], where the number of pauses was sufficiently high to accurately estimate the lifetimes from fits. Error bars from fits represent 95% CI from fits. Error bars of pause density estimated from square root of the number of pause events.
Figure 4
SpoIIIE mechanochemistry model.
(a) Mechanochemical cycle for a single SpoIIIE subunit. (b) Mechanochemical cycle for the entire SpoIIIE homo-hexamer.
Tables
Table 1
Length of DNA (kbp) translocated at different forces and ATP concentrations.
Related to Figure 2C.
| [ATP] (µM) | Force Interval (pN) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2–4 | 4–6 | 6–8 | 8–10 | 10–13 | 13–16 | 16–20 | 20–25 | 25–30 | 30–40 | 40–45 | 45–50 | |
| 5000 | 105.0 | 98.2 | 75.1 | 61.5 | 77.6 | 60.3 | 51.4 | 34.8 | 16.2 | 11.8 | 1.0 | 0.2 |
| 3000 | 44.6 | 40.1 | 33.7 | 30.0 | 42.4 | 38.6 | 45.5 | 42.6 | 23.7 | 16.3 | 1.9 | 0.6 |
| 2000 | 39.0 | 38.9 | 34.6 | 32.1 | 45.4 | 41.5 | 47.9 | 41.3 | 21.0 | 12.1 | 1.8 | 0.9 |
| 1000 | 76.5 | 66.3 | 58.6 | 54.9 | 77.1 | 70.1 | 76.9 | 60.2 | 29.6 | 19.1 | 1.6 | 0.5 |
| 750 | 23.8 | 18.4 | 14.4 | 12.3 | 16.6 | 14.1 | 14.1 | 10.1 | 5.2 | 3.6 | 0.3 | 0 |
| 500 | 44.1 | 43.7 | 37.8 | 33.3 | 42.4 | 34.9 | 31.5 | 19.6 | 8.1 | 3.7 | 0 | 0 |
| 250 | 22.4 | 20.4 | 18.4 | 17.4 | 23.4 | 17.1 | 13.5 | 9.9 | 4.2 | 2.0 | 0 | 0 |
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Mechanochemical coupling and bi-phasic force-velocity dependence in the ultra-fast ring ATPase SpoIIIE
eLife 7:e32354.
https://doi.org/10.7554/eLife.32354
