Table 1.
Kinetic Parameter | Definition | Units | Dissociation Data | Pi Release Data |
kt | Forward stepping rate | steps/s | 3.0 ± 0.6 | - |
kend | Dissociation rate from DNA end | s-1 | 6 ± 1 | - |
r | Ratio of binding DNA internally vs. end | - | 7.1 ± 0.7 | - |
m | Kinetic step size | nt/step | 5.3 ± 0.9 | - |
kd | Dissociation rate (0.5 mg/mL heparin) | s-1 | 0.75 ± 0.01 | - |
kd | Dissociation rate (no heparin) | s-1 | 0.43 ± 0.04 | - |
m•kt | Translocation rate | nt/s | 16 ± 4 | 14.0 ± 0.4 |
d | Binding site size | nt | 34 ± 3 | 34 ± 0.7 |
c | Coupling efficiency per step | ADP/step | - | 3.4 ± 0.4 |
c/m | Coupling efficiency per nucleotide | ADP/nt | - | 0.6 ± 0.2 |
m/c | Nucleotides translocated per ATP hydrolyzed | nt/ATP | - | 1.6 ± 0.3 |
P | Processivity (0.5 mg/mL heparin) | - | 0.952 ± 0.005 | |
P | Processivity (no heparin) | - | 0.972 ± 0.002 | - |
Nav = 1/(1-P) | Average distance (0.5 mg/mL heparin) | nt | 21 ± 2 | - |
Nav = 1/(1-P) | Average distance (no heparin) | nt | 36 ± 2 | - |
The parameters kt, kend, and r were determined by fitting the data in Fig. 4A to Eq. 6. The values are reported as an average of the three datasets with standard deviation. The dissociation rate constant from internal ssDNA sites was determined from experiment with poly dT using Eq. 4 (Fig. S5). The values for the binding site size, d, and kinetic step size, m, were determined from linear least squares fitting to the data in Fig. 4B. The coupling efficiency, c, and site size, d, in the “Pi release” data column were determined from the fit of Eq. 8 to the amplitudes of the phosphate-release data in Fig. 2B.