Table 1.

Parameter values from previous and our study for different distributions applied to a data set of ubiquitin pulled at 110 pN of constant force

Distribution F(t)	Previous Studies	MLE Parameters
Exponential$1-e^{-at}$	a ∼ 0.67 s-1 (9)	a = 0.66 ± 0.02 s-1
Log-Normal$\frac{1}{2}\text{erfc}\left[-\frac{\text{ln}\left(t/t_0\right)}{\sigma \sqrt{2}}\right]$	σ = 3.0 (12)t0 = 0.005 s	σ = 2.04 ± 0.05t0 = 1.26 ± 1.08 s
Gaussian Disorder (GD)$1-\underset{\mathbb{R}}{\int }{e}^{-k_{F}t{e}^{-\beta r}}\frac{e^{-\frac{r^2}{2{\sigma }^2}}}{\sqrt{2\pi {\sigma }^2}}dr$	kF = 0.73 ± 0.03 s-1 (10)σ = 3.47 ± 1.16 pNnm	kF = 0.57 ± 0.05 s-1σ = 5.32 ± 0.72 pNnm
Force noise = GDWith σ = σFΔx	Δx = 0.23 nmσF = 15.09 ± 5.04 pN	Δx = 0.23 nmσF = 23.13 ± 3.13 pN
Weibull$1-e^{-{\left(at\right)}^b}$	a ∼ 0.9 s-1 (8)b = γ – 1 = 0.8	a = 0.59 ± 0.04 s-1b = 0.73 ± 0.02