In the case of LAOBP, each domain appears as rigidly correlated with itself, whereas the couplings between the two domains are a mix of both weak flexible and rigid correlations (Fig. 11).
An EDX composition study of various as-crystallized phases revealed rigid correlations between the constituting elements, determined by the tendency of the phase to charge carrier minimization.
In all cases, the large domain is primarily composed of one large rigid cluster, which results in rigidity correlation in each of the four corners (because the domain is interrupted) of the cooperativity correlation plots.
Conversely, rigidity correlation quantifies the extent that two residues are simultaneously within the same rigid cluster.
Among these are the rigid spherical cross-correlation [13], spherical demons [14], Laplace-Beltrami Eigen-function registration [15], just to name a few.
More importantly, in the absence of CA3 NMDAR-dependent activity, the CA1 temporal firing sequences appear more rigid and their correlations with the place cell sequences are less modulated by the recent experiences compared to control animals.
As elongated fibril structures become less rigid (shorter persistence length), correlation between the contour length and end to end distance will deviate from this line.
For these infinitely rigid structures, the corresponding correlation plots would produce a line with a slope of 1, which is represented by the dashed line.
Correlations for rigid smooth spheres underestimated the single-particle terminal settling velocity for particles with many asperities, especially for the soft spheres.
The mesophase, which possesses some degree of medium-range order, behaves very similarly to the rigid amorphous phase, and a correlation between the two is established in free-end fibers.
