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. 2011 Jan 28;6(1):e15827. doi: 10.1371/journal.pone.0015827

Figure 4. Quasi-anharmonic analysis (QAA) of ubiquitin conformational landscape.

Figure 4

(A) The MD ensemble projected onto the top three anharmonic modes of motion. The anharmonic modes are represented by Inline graphic, Inline graphic and Inline graphic. Level 1 (L1) indicates the level of the hierarchy. The projection (units Å) shows four distinct clusters (I-IV). The clusters were identified using a mixture of Gaussian (MoG) [41] model, with boundaries marked by ellipses drawn 3 standard deviations (Inline graphic) from the respective cluster centers. The cluster centers are shown in blue (7,880 conformers; I) green (773; II), purple (692; III) and red (655; IV). The X-ray ensemble consisting of 44 crystal structures is shown as blue diamonds; 42 of these structures are covered within 2Inline graphic of cluster I. The Inline graphics time-scale NMR ensemble [11] consisting of 116 conformers are shown as orange squares; 78 conformers lie with 3Inline graphic deviations from cluster I, indicating that the MD sampling has visited most bound/unbound conformations in the space spanned by Inline graphic, Inline graphic and Inline graphic. (B and C). Two different view-points (rotated around y-axis by 180°) of the mean conformations from each cluster (bold circles in A) show significant structural deviations in R1 and R2. The distance between centroids of R1 and R2 are shown here for reference. In cluster I, the average distance between R1 is only 13.6 Å where as in the other three clusters (II, III and IV), the distance is 18.1 Å. The distance between R1 and R2 is maximum in cluster I (11.5 Å), where as decreases to about 7.5 Å in clusters II, III and IV.