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. Author manuscript; available in PMC: 2017 Sep 8.
Published in final edited form as: J Am Chem Soc. 2016 Apr 27;138(18):5789–5792. doi: 10.1021/jacs.6b02654

Figure 2.

Figure 2

Global dynamics of ubiquitin on the surface of liposome nanoparticles. (A) Ubiquitin (gray ribbon, PDB 1UBQ8) rotates about an internal rotation axis (denoted as r and displayed in red), shown as perpendicular to the surface of the lipid bilayer (blue) while wobbling in a cone of semiangle β0. (B) Relationship between the axis r (red) and the x, y, and z axes of the inertia tensor (blue, used as an arbitrary internal reference frame): θ is the angle between the r and z axes; and φ the angle (not shown) between the x axis and the projection of the r axis on the x–y plane. Dependence of 15N–ΔR2 in the presence of (C) LUVs and (D) SUVs on the angle α between the N–H bond vectors and the internal rotation axis: experimental data are shown as blue circles; the best-fit curves, from global fitting to all LUV and SUV data, are in red (Sw2 = 0.5 and τw = 300 ns; see text and SI).