By relaxing the requirement for small variation of the transient, averaged parameters in the proposed solution formulation, the resulting analytical predictions are in excellent agreement with exact trajectories of displacement and velocity determined via numerical integration of the governing equation.
First, we consider the 5 ns on / 5 ns off trajectory of dsDNA stepwise displacement obtained under the single hot spot trapping condition.
Cell trajectory directionality was estimated as the ratio of displacement over trajectory length both in 3D.
To determine whether particular directions of active transport predominate, analysis was conducted using histograms of trajectory displacement angles for directional puncta (n = 557 from 13 cells).
Graphical summaries of the correlations coefficients for strands four to nine are shown in Fig. 2 and Supplementary fig. 3. Normal modes and trajectories of mode displacements were additionally calculated from the same structure used in the elastic normal mode calculations using GROMACS with the CHARMM27 force field combined with the OBC (Onufriev, Bashford, Case) implicit solvent model51.
However, this view was challenged by Collier-Baker et al. (2004), which showed that instead of mentally representing the rewards trajectory during displacement, dogs followed simple associative rules.
MMCs only rarely engage in processive movements; thus, fast trajectories only contribute to 15%% of displacement tracks.
These results were analyzed in several ways: trajectories, Poincaré maps, probability density functions of displacement and velocity, root mean square responses and Lyapunov exponents.
If dispersal is accomplished by special movements, it is proposed that the movements should differ from routine movements, in general features like spatial scale of displacement, speed of movements, configuration of trajectory, and responses to conspecifics and resources during movement.
Whether the current excruciatingly high levels of displacement will, in time, be seen as an anomaly in a broader trajectory towards greater global stability, or whether this is the new normal, remains to be seen.
Intrinsic reaction coordinate (IRC) 37 calculations or manual displacement along the reaction trajectory of the imaginary frequency were performed to link transition-state structures with the respective intermediates.
