Table 3.
Diffusion tensor statisticsa | ||||||||
Isotropic | Axially symmetric (prolate) | Axially symmetric (oblate) | Anisotropic | |||||
χ2(5%) | χ2exp | χ2(5%) | χ2exp | χ2(5%) | χ2exp | χ2(5%) | χ2exp | |
NusA(353–416) | 44.2 | 207.6 | 40.0 | 48.5 | 39.7 | 48.5 | 37.0 | 19.0 |
NusA(431–490) | 31.4 | 55.98 | 26.6 | 24.3 | 28.0 | 39.7 | 23.4 | 22.9 |
Diffusion tensor statisticsb | ||||||
Dzz(107s−1) | Dyy(107s−1) | Dxx(107s−1) | ζ | η | τc,eff[ns] | |
a χ2(5%) corresponds to the α= 0.05 confidence limit for the fit derived from 500 Monte Carlo simulations, χ2exp refers to the value of the target function used for the fit. Values of χ2(5%) and χ2exp for accepted models are shown in bold italic. An F-statistic was used to differentiate between the prolate (four parameters) and the fully asymmetric model (six parameters) for NusA(431–490). The critical values for the F-statistic with α= 0.1 amount to Fexp = 4.6 and F(10%) = 22.3, indicating that the improvement of the fit upon using the six-parameter model is not statistically relevant (Mandel et al. 1995; Dosset et al. 2000). NusA(431–490) is thus best described by a prolate axially symmetric diffusion model, NusA(353–416) by an anisotropic diffusion tensor. | ||||||
b Diffusion tensor components from R2 and R1 data at 600 MHz [NusA(353–416): 33 N-HN vectors; NusA(431–490): 21 N-HN vectors] for accepted models of NusA(353–416) and NusA(431–490). For a prolate diffusion tensor (Dzz − Dyy ≥ Dyy − Dxx) the anisotropy and rhombicity are defined as ζ = 2Dzz/(Dxx+Dyy) and η = 3/2 · (Dyy − Dxx)/Dzz · ζ/(ζ − 1), respectively, and characterize the deviations from a spherical top (Fushman et al. 2004). The effective rotational correlation time is related to the diffusion tensor components via τc,eff = 1/(2Dxx+2Dyy+2Dzz). Parameter uncertainties of the diffusion parameters were taken from 500 Monte Carlo simulations. | ||||||
NusA(353–416) | 2.31 ± 0.05 | 1.73 ± 0.06 | 1.22 ± 0.05 | 1.6 ± 0.1 | 0.91 ± 0.19 | 9.5 ± 0.3 |
NusA(431–490) | 3.11 ± 0.12 | 2.01 ± 0.07 | 2.01 ± 0.07 | 1.6 ± 0.1 | 0 | 7.0 ± 0.2 |